MLE section in the book

[IshanBhargava]

Hey everyone!

I was reading the MLE section (https://book.thedatascienceinterviewproject.com/statistics/probability-distribution#maximum-likelihood-estimation-mle) and noticed in the example, for the data -1,3,7 the variance is mentioned as 16 whereas according to my understanding it should 32/3.

Is my understanding correct or am I missing something?
Appreciate your input!

[dipranjan]

The variance = 16 is incorrect if we strictly use the MLE formula (it should be 32/3). However, if using the population variance formula, it would be 16. n-1 vs n issue. Thanks for pointing it out, I will correct it in the book.

[IshanBhargava]

oh understood, thanks for the explanation!

[dipranjan]

I have updated with detailed calculation in the book. Check that out.