Chapter 4, Problem 19P

### 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 population of N = 8 scores: 0, 0, 5, 0, 3, 0, 0, 4. (Note: The computational formula for SS works well with these scores.)

To determine

To calculate: The sum of squared deviation, variance and standard deviation for the population of scores.

Explanation

Given info:

The data represents the population of scores. The scores are 0, 0, 5, 0, 3, 0, 0 and 4. and the population size as 8.

Calculation:

The general formula for Sum of squared deviations is,

SS=ΣX2(ΣX)2N

The below table shows the computation of SS:

 X X2 0 0 0 0 5 25 0 0 3 9 0 0 0 0 4 16 ΣX=12 ΣX2=50

Substitute ΣX for 12, ΣX2 for 50 and N for 8 in the formula of SS is as follows:

SS=ΣX2(

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