# Statistical Literacy Consider two discrete probability distribution with the same sample space and the same expected value. Are the standard deviations of the two distributions necessarily equal? Explain.

### Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075

Chapter
Section

### Understanding Basic Statistics

8th Edition
Charles Henry Brase + 1 other
Publisher: Cengage Learning
ISBN: 9781337558075
Chapter 6.1, Problem 5P
Textbook Problem
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## Statistical Literacy Consider two discrete probability distribution with the same sample space and the same expected value. Are the standard deviations of the two distributions necessarily equal? Explain.

To determine

Whether the standard deviations of the two discrete distributions with the same sample space and expected value are necessarily equal or not.

### Explanation of Solution

The sample space, S of statistical experiment is the set of all possible outcomes.

Consider the following probability distribution:

 X P(X) 2 3/7 3 3/7 6 1/7

Consider another probability distribution:

 X P(X) 2 1/7 3...

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