To study the variability of in a test with grades from 0 to 5, 17 students were drawn from a school and their grades were as follows: 0, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 3, 4, 5, 3, 1. To estimate the variance, the estimators in the figure below were proposed. Get the estimates and discuss which is the "best" estimator.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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To study the variability of in a test with grades from 0 to 5, 17 students were drawn from a school and their grades were as follows: 0, 1, 2, 1, 3, 1, 2, 1, 2, 1, 1, 2, 3, 4, 5, 3, 1. To estimate the variance, the estimators in the figure below were proposed. Get the estimates and discuss which is the "best" estimator.

 

1
o =-(X, - X);
n
i=1
maximum)2 – (Minimum)?
I|
1
(Ex – nx*).
n - 1
i=1
Transcribed Image Text:1 o =-(X, - X); n i=1 maximum)2 – (Minimum)? I| 1 (Ex – nx*). n - 1 i=1
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