Chapter 4, Problem 5P

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Chapter
Section

### Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

# Explain why the formula for sample variance is different from the formula for population variance.

To determine

To Explain: Why the formula for sample variance is different from the formula for population variance.

Explanation

The definition of sample variance is that the mean squared distance from the mean. Sample variance is obtained by dividing the sum of squares by n–1. The definition of Population variance is that mean squared deviation. The mean is the sum of squared deviations divided by N. Use the definition of variances, to explain the difference for the formulas of sample and population variance.

The formula for calculating the sample variance is,

s2=(xiM)2n1,      where M=

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