   Chapter 4, Problem 8P Essentials of Statistics for the B...

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

Solutions

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) tor each of the following samples. Based on the value for the mean, you should be able to decide which SS formula is better to use.Sample A: 1 4 8 5Sample B: 3 0 9 4

To determine

To find: The mean and sum of squared deviations for the sample A and B.

Explanation

Given info:

The data represents the values of sample A and sample B. The sample A is 1, 4, 8, 5 and sample B is 3, 0, 9, 4.

Calculation:

Sample A:

The general formula for mean is,

μ=xiN

The mean for the sample A is,

μ=xiN=1+4+8+54=184=4.5

Thus, the mean for the sample A is 4.5.

The general formula for Sum of squared deviations is,

SS=(xiμ)2

The Sum of squared deviations for the sample A is,

SS=(xiμ)2=(14.5)2+(44.5)2+(84.5)2+(54.5)2=12.25+0.25+12.25+0.25=25

Thus, the Sum of squared deviations for the sample A is 25

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