I want to compute mean median and mode for the distribution from its c.d.f.

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Jan
Jan on 5 Jan 2022
Commented: Jeff Miller on 7 Jan 2022
I want to compute mean median and mode for the distribution from its c.d.f.
\begin{array}{c|r}
p & .005 & .01 & .025 & .05 & .10 & .20 & .25 & .30 & .40 & .50 & .60 & .70 & .75 & .80 & .90 & .95 & .975 & .99 & .995\\
\hline
m=3 & .0717 & .1148 & .2158 & .3518 & .5844 & 1.005 & 1.213 & 1.424 & 1.869 & 2.366 & 2.946 & 3.665 & 4.108 & 4.642 & 6.251 & 7.815 & 9.348 & 11.34 & 12.84
\end{array}

Answers (1)

Jeff Miller
Jeff Miller on 5 Jan 2022
The median is the value at p=0.50, which you already seem to have in your table. You can't really compute the mean and mode from the info in this table, but you can compute them from the known properties of the chisq(3). See, e.g., Wikipedia
  2 Comments
Jeff Miller
Jeff Miller on 7 Jan 2022
Jan, I think you might be misunderstanding what values you are getting from chi2pdf. This function returns values on the vertical y axis of your plots, but you are trying to compute mean, median, and mode values on the horizontal x axis as shown in your pictures.

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