Chapter 4, Problem 18P

### 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 the mean and SS (sum of squared deviations) for each of the following samples. Based on the value for the mean, you should be able to decade which SS formula is better to use.Sample A: 1 4 8 5Sample B: 3 0 9 4

To determine
The SS, variance and standard deviation for the sample scores.

Explanation

Given info:

The sample scores are 7, 4, 2 and 1.

Calculation:

The formula of Sum of squared deviations is,

SS=ΣX2(ΣX)2n

The formula of variance is,

s2=SSn1

The formula of standard deviation is,

s=s2

The below table shows the computation of SS:

 X X2 7 49 4 16 2 4 1 1 ΣX=14 ΣX2=70

Substitute ΣX=14,ΣX2=70 and

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