Chapter 4, Problem 21P

### 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

# Calculate SS, variance, and standard deviation for the following sample of n = 5 scores: 10, 4, 8, 5, 8. (Note: The definitional formula for SS works well with these scores.)

To determine
The sum of squared deviations, variance and standard deviation for the sample of scores.

Explanation

Given info:

The data represents the sample of scores. The scores are10, 4, 8, 5, and 8.and the population size as 5.

Calculation:

The general formula of mean is,

μ=xin

The mean for the sample scores is,

μ=xin=10+4+8+5+85=355=7

The formula of Sum of squared deviations is,

SS=(xiμ)2

The sum of squared deviations (SS) of scores is,

SS=(xiμ)2=(107)2+(47)2+(87

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