{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":45779,"title":"Variance computation (★★★)","description":"Given a vector x with several values, compute the variance, whose formula is given by:\r\n\r\n\u003c\u003chttps://i.imgur.com/Wg95KBE.gif\u003e\u003e\r\n\r\n\u003c\u003e\r\n\r\nwhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\r\n\r\nFor example, if\r\n\r\n  x = [-1, 3, 5, -4, 10, 12]\r\n\r\nThen μ=4.16667 the variance is 38.16667. The following commands are forbidden: *std, var, mean*.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 198.433px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 99.2167px; transform-origin: 407px 99.2167px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267.3px 10.5px; transform-origin: 267.3px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 23px; text-align: center; transform-origin: 384px 23px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/gif;base64,R0lGODlhkQEqALMAAP///wAAAO7u7piYmGZmZoiIiMzMzDIyMkRERNzc3BAQECIiInZ2dqqqqrq6ulRUVCH5BAEAAAAALAAAAACRASoAAAT+EMhJq704690KI1sojmSJdZ+prmyJgm0sz3T81vgoFNLD5MDgrvcLGmtDgO/IbDolySVFMHiaBgKK4yAZcJFV6wir/XpxVDGJPNl2v2pmOi5iS9yAMwVG3wgeFQkSKTV8fRh/gYOGMoyHFokUggCEjzmOllOAkosUBQaZGQ48FguTM5+hF6MXpjWpqhaspaexLbC2WqQVrhNwub4WDw44v8DGSsQ1yLnIw8AxzM3Cyl1h0BIFDZ6gtRcD1RkD19Da3ADeFuAh49gT5u/dG+uP9Brt7tnb8egTCOm5DGwC0KCBgAS7MNjL8C+fwAkFDyb8Fg5DQ4cDIyKcVzHOQov+AANmNLhRggILDQYwcJDyQUgazyQgAEXhJLoAOAMUEdfRgk0KKVe2fCkjJoCZFWwmyKmTY4ifEFWyHOCSiVGkNSUszblTYU8xHy9AlRB0alWr1bBOUMp051gHghIo2KaAZgIEQAJMEhAgC4UAK8L6rAAX3VwAdQl6wMRCL5S+FQCrEJyUcNzDiQsWYNx4L+S/gb9aoZxVy2W6NI84BsDX7wTJGBIsqLDPwViVs3HYhpibwgLXa0Rr7U32DtQoXVvsJktcwu/JwtE1rz1WMgJyMZYTbA7g+ZXoTUgPp23civYG3L1fkI2BwcAJ7C8YQEC/vv2JE9xPIOBIvQYCDwT++MABBwgohSTcDfIeHnpQMJ99EOJHyUD8lQJcBgAKSKCByUnX3nv9HIWdBA9CWJ+E+klQIS8XYpBhgBsK2CEQLw5YoIwWxGdBiiWUaCICKFLYX4sTCDCWLyPqSMMB1yywT2nf+XGkBEwqQglnJVTp3JNrhSYlBlpWIMABRK4QppODQWeJeKxNCUCYrHngwAAEEJVlk1yatMGUfE1SjZIzBEBTawYA56ZTe17Q5x282DmCoI8JUCiUJbCJmKKrVdMAAnnGAClrfU3apZr1gMdnpgQBACkDIzY2aKiGbnARALsNIJkBpwCa3acMnETOQ6RqMGutt9Zi1K409ZqHgyD+jgHesL4WW8EDEqrgAK++MuulBgk84Fe333qrlbjokMtTCNDmIS0A8/WQGrKDZDsBsOJcYwABDRjQAAMNhKNrCwwcgK9BBCwET5Tz2IuvvvyGk4qjIQQ8sAAFO9xpHeDhw+7C+/b7RhcJqiBxRBV7cjE70RmQGLsrq0yTyySufG7C83Lc8DukHGrCyAQbfHKReI3wLwsH/EwlC5YKEHQIGlWbpdFvIg2e0iLMwmM0UEuD8ppTLy0rKA64BF4IRW+gNQUMvCsKAQEUAHEIq2EwJwtl7qj2em0FStTcK9RdQdp1LOY3CXGv0qoIgzuR+CB3XxD0H4ebULgskVeA5RH+2il6eSF0ZA7J5jSADoTnYoqezwim50D6FKbPoYZK9yw+g+ujzTiBHU3QXnvsp6NR+RGwiyN778QXb/zxyCev/PLMN+/889BHL/301L/G1PXYZ6/99tx37/334Icv/vjkl2/++einr/767LfvfvXwxy///PTXb//9+Oev//789+///wAMoAAHSMACGvCAdEPA2BDIwAbCLwGsCsACHUjBCj5PghbMoAaph8ENevCDQOhAAahAlQmKoIMgTKEKVSAAuAQgDA04mwpQuMIa2lBu23mH1wJlwhv6UIME2Am15POjE2WAhj9MYg0VUI3JyQCJSoyiB5fCG1rhAIpSzGIkBRsURAA4bYY91KIY/ceqeTFghLNjAAICcADAjfGNcIwj8SIAADs=\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 283.683px 10.5px; transform-origin: 283.683px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.9083px 10.5px; transform-origin: 45.9083px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 109.633px 8.5px; transform-origin: 109.633px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ex = [-1, 3, 5, -4, 10, 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 10.5px; transform-origin: 256.342px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen μ=4.16667 the variance is 38.16667. The following commands are forbidden:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.7917px 10.5px; transform-origin: 80.7917px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003estd, var, mean, for, while\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [-1, 3, 5, -4, 10, 12];\r\ny_correct = 38.16666666666667;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 1:10;\r\ny_correct = 9.166666666666666;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = primes(30);\r\ny_correct = 81.43333333333334;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'std')),'std forbidden')\r\nassert(isempty(strfind(filetext, 'var')),'var forbidden')\r\nassert(isempty(strfind(filetext, 'mean')),'mean forbidden')\r\nassert(isempty(strfind(filetext, 'for')),'for forbidden')\r\nassert(isempty(strfind(filetext, 'while')),'while forbidden')","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":"2020-10-17T02:01:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-06T00:46:09.000Z","updated_at":"2026-02-12T19:15:04.000Z","published_at":"2020-06-06T00:49:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[x = [-1, 3, 5, -4, 10, 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen μ=4.16667 the variance is 38.16667. The following commands are forbidden:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estd, var, mean, for, while\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45785,"title":"Variance computation (★)","description":"Given a vector x with several values, compute the variance, whose formula is given by:\r\n\r\n\u003c\u003chttps://i.imgur.com/Wg95KBE.gif\u003e\u003e\r\n\r\n\u003c\u003e\r\n\r\nwhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\r\n\r\nFor example, if\r\n\r\n  x = [-1, 3, 5, -4, 10, 12]\r\n\r\nThen μ=4.16667 the variance is 38.16667.","description_html":"\u003cp\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/p\u003e\u003cimg src = \"https://i.imgur.com/Wg95KBE.gif\"\u003e\u003cp\u003e\u003ca href = \"\"\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/p\u003e\u003cp\u003eFor example, if\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex = [-1, 3, 5, -4, 10, 12]\r\n\u003c/pre\u003e\u003cp\u003eThen μ=4.16667 the variance is 38.16667.\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [-1, 3, 5, -4, 10, 12];\r\ny_correct = 38.16666666666667;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 1:10;\r\ny_correct = 9.166666666666666;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = primes(30);\r\ny_correct = 81.43333333333334;\r\nassert(isequal(your_fcn_name(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":78,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-07T18:19:35.000Z","updated_at":"2026-03-31T10:54:35.000Z","published_at":"2020-06-07T18:19:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.gif\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"a\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehref = \\\"\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;/a\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[x = [-1, 3, 5, -4, 10, 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen μ=4.16667 the variance is 38.16667.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,R0lGODlhkQEqALMAAP///wAAAO7u7piYmGZmZoiIiMzMzDIyMkRERNzc3BAQECIiInZ2dqqqqrq6ulRUVCH5BAEAAAAALAAAAACRASoAAAT+EMhJq704690KI1sojmSJdZ+prmyJgm0sz3T81vgoFNLD5MDgrvcLGmtDgO/IbDolySVFMHiaBgKK4yAZcJFV6wir/XpxVDGJPNl2v2pmOi5iS9yAMwVG3wgeFQkSKTV8fRh/gYOGMoyHFokUggCEjzmOllOAkosUBQaZGQ48FguTM5+hF6MXpjWpqhaspaexLbC2WqQVrhNwub4WDw44v8DGSsQ1yLnIw8AxzM3Cyl1h0BIFDZ6gtRcD1RkD19Da3ADeFuAh49gT5u/dG+uP9Brt7tnb8egTCOm5DGwC0KCBgAS7MNjL8C+fwAkFDyb8Fg5DQ4cDIyKcVzHOQov+AANmNLhRggILDQYwcJDyQUgazyQgAEXhJLoAOAMUEdfRgk0KKVe2fCkjJoCZFWwmyKmTY4ifEFWyHOCSiVGkNSUszblTYU8xHy9AlRB0alWr1bBOUMp051gHghIo2KaAZgIEQAJMEhAgC4UAK8L6rAAX3VwAdQl6wMRCL5S+FQCrEJyUcNzDiQsWYNx4L+S/gb9aoZxVy2W6NI84BsDX7wTJGBIsqLDPwViVs3HYhpibwgLXa0Rr7U32DtQoXVvsJktcwu/JwtE1rz1WMgJyMZYTbA7g+ZXoTUgPp23civYG3L1fkI2BwcAJ7C8YQEC/vv2JE9xPIOBIvQYCDwT++MABBwgohSTcDfIeHnpQMJ99EOJHyUD8lQJcBgAKSKCByUnX3nv9HIWdBA9CWJ+E+klQIS8XYpBhgBsK2CEQLw5YoIwWxGdBiiWUaCICKFLYX4sTCDCWLyPqSMMB1yywT2nf+XGkBEwqQglnJVTp3JNrhSYlBlpWIMABRK4QppODQWeJeKxNCUCYrHngwAAEEJVlk1yatMGUfE1SjZIzBEBTawYA56ZTe17Q5x282DmCoI8JUCiUJbCJmKKrVdMAAnnGAClrfU3apZr1gMdnpgQBACkDIzY2aKiGbnARALsNIJkBpwCa3acMnETOQ6RqMGutt9Zi1K409ZqHgyD+jgHesL4WW8EDEqrgAK++MuulBgk84Fe333qrlbjokMtTCNDmIS0A8/WQGrKDZDsBsOJcYwABDRjQAAMNhKNrCwwcgK9BBCwET5Tz2IuvvvyGk4qjIQQ8sAAFO9xpHeDhw+7C+/b7RhcJqiBxRBV7cjE70RmQGLsrq0yTyySufG7C83Lc8DukHGrCyAQbfHKReI3wLwsH/EwlC5YKEHQIGlWbpdFvIg2e0iLMwmM0UEuD8ppTLy0rKA64BF4IRW+gNQUMvCsKAQEUAHEIq2EwJwtl7qj2em0FStTcK9RdQdp1LOY3CXGv0qoIgzuR+CB3XxD0H4ebULgskVeA5RH+2il6eSF0ZA7J5jSADoTnYoqezwim50D6FKbPoYZK9yw+g+ujzTiBHU3QXnvsp6NR+RGwiyN778QXb/zxyCev/PLMN+/889BHL/301L/G1PXYZ6/99tx37/334Icv/vjkl2/++einr/767LfvfvXwxy///PTXb//9+Oev//789+///wAMoAAHSMACGvCAdEPA2BDIwAbCLwGsCsACHUjBCj5PghbMoAaph8ENevCDQOhAAahAlQmKoIMgTKEKVSAAuAQgDA04mwpQuMIa2lBu23mH1wJlwhv6UIME2Am15POjE2WAhj9MYg0VUI3JyQCJSoyiB5fCG1rhAIpSzGIkBRsURAA4bYY91KIY/ceqeTFghLNjAAICcADAjfGNcIwj8SIAADs=\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":45779,"title":"Variance computation (★★★)","description":"Given a vector x with several values, compute the variance, whose formula is given by:\r\n\r\n\u003c\u003chttps://i.imgur.com/Wg95KBE.gif\u003e\u003e\r\n\r\n\u003c\u003e\r\n\r\nwhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\r\n\r\nFor example, if\r\n\r\n  x = [-1, 3, 5, -4, 10, 12]\r\n\r\nThen μ=4.16667 the variance is 38.16667. The following commands are forbidden: *std, var, mean*.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 198.433px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 99.2167px; transform-origin: 407px 99.2167px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 267.3px 10.5px; transform-origin: 267.3px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 46px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 23px; text-align: center; transform-origin: 384px 23px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 283.683px 10.5px; transform-origin: 283.683px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 45.9083px 10.5px; transform-origin: 45.9083px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example, if\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 20.4333px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 109.633px 8.5px; transform-origin: 109.633px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ex = [-1, 3, 5, -4, 10, 12]\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 22px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 11px; text-align: left; transform-origin: 384px 11px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 256.342px 10.5px; transform-origin: 256.342px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen μ=4.16667 the variance is 38.16667. The following commands are forbidden:\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 80.7917px 10.5px; transform-origin: 80.7917px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003estd, var, mean, for, while\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 1.95px 10.5px; transform-origin: 1.95px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [-1, 3, 5, -4, 10, 12];\r\ny_correct = 38.16666666666667;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 1:10;\r\ny_correct = 9.166666666666666;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = primes(30);\r\ny_correct = 81.43333333333334;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'std')),'std forbidden')\r\nassert(isempty(strfind(filetext, 'var')),'var forbidden')\r\nassert(isempty(strfind(filetext, 'mean')),'mean forbidden')\r\nassert(isempty(strfind(filetext, 'for')),'for forbidden')\r\nassert(isempty(strfind(filetext, 'while')),'while forbidden')","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":36,"test_suite_updated_at":"2020-10-17T02:01:03.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-06T00:46:09.000Z","updated_at":"2026-02-12T19:15:04.000Z","published_at":"2020-06-06T00:49:36.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[x = [-1, 3, 5, -4, 10, 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen μ=4.16667 the variance is 38.16667. The following commands are forbidden:\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003estd, var, mean, for, while\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":45785,"title":"Variance computation (★)","description":"Given a vector x with several values, compute the variance, whose formula is given by:\r\n\r\n\u003c\u003chttps://i.imgur.com/Wg95KBE.gif\u003e\u003e\r\n\r\n\u003c\u003e\r\n\r\nwhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\r\n\r\nFor example, if\r\n\r\n  x = [-1, 3, 5, -4, 10, 12]\r\n\r\nThen μ=4.16667 the variance is 38.16667.","description_html":"\u003cp\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/p\u003e\u003cimg src = \"https://i.imgur.com/Wg95KBE.gif\"\u003e\u003cp\u003e\u003ca href = \"\"\u003e\u003c/a\u003e\u003c/p\u003e\u003cp\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/p\u003e\u003cp\u003eFor example, if\u003c/p\u003e\u003cpre class=\"language-matlab\"\u003ex = [-1, 3, 5, -4, 10, 12]\r\n\u003c/pre\u003e\u003cp\u003eThen μ=4.16667 the variance is 38.16667.\u003c/p\u003e","function_template":"function y = your_fcn_name(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = [-1, 3, 5, -4, 10, 12];\r\ny_correct = 38.16666666666667;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = 1:10;\r\ny_correct = 9.166666666666666;\r\nassert(isequal(your_fcn_name(x),y_correct))\r\n%%\r\nx = primes(30);\r\ny_correct = 81.43333333333334;\r\nassert(isequal(your_fcn_name(x),y_correct))","published":true,"deleted":false,"likes_count":0,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":78,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-06-07T18:19:35.000Z","updated_at":"2026-03-31T10:54:35.000Z","published_at":"2020-06-07T18:19:35.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"targetMode\":\"\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"targetMode\":\"\",\"relationshipId\":\"rId1\",\"target\":\"/media/image1.gif\"}],\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\\n\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eGiven a vector x with several values, compute the variance, whose formula is given by:\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:hyperlink w:docLocation=\\\"a\\\"\u003e\u003cw:r\u003e\u003cw:t\u003ehref = \\\"\\\"\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e\u0026lt;/a\u0026gt;\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003ewhere x1, x2, ...., xn are the n elements of the vector x, and μ is the average of the vector x.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eFor example, if\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[x = [-1, 3, 5, -4, 10, 12]]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThen μ=4.16667 the variance is 38.16667.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray 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