I have a short question regarding empirical distribution function.

We have a sample of $(1, 2.1, 1.5, 3)$. What's the value of the empirical distribution function for this sample $F_{4}$ at $x=2$?

Can you please help me with this one?

My initial solution (exercise number 7) I'm not sure about that. My offers for the answers are either 1 or 1/2. https://imgur.com/a/XjivBAI

  • $\begingroup$ Your thoughts...? $\endgroup$ – StubbornAtom Jun 16 '18 at 14:25
  • $\begingroup$ Edited the post @StubbornAtom $\endgroup$ – Martin Smith Jun 16 '18 at 14:33
  • $\begingroup$ Please use proper math formatting for your post. Pictures aren't good enough. $\endgroup$ – StubbornAtom Jun 16 '18 at 14:36
  • 1
    $\begingroup$ The question asks what proportion of the sample has values less than or equal to $2.$ $\endgroup$ – whuber Jun 16 '18 at 14:57
  • $\begingroup$ @whuber so .. as 1 and 1.5 are the values less (or equal) to 2 and as we have 4 values in the sample, then the proportion is 1/2. And this is the final answer? $\endgroup$ – Martin Smith Jun 16 '18 at 15:02

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.