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Essentials of Statistics for the B...

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

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Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

Find the sum of the squared deviations, SS, for each of the following populations. Note that the definitional formula works well for one population but the computational formula is better for the other.

Population 1: 3 1 5 1  
Population 2: 6 4 2 0 9 3

To determine

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

Explanation

Given info:

The information having two populations: They are:

Population 1: 3, 1, 5, and 1.

Population 2: 6, 4, 2, 0, 9, and 3

Calculation:

The formula of mean is,

μ=xiN

The computational formula of sum of squared deviations is,

SS=(xiμ)2

The definitional formula for sum of squared deviations is,

SS=ΣX2(ΣX)2N

Population 1:

The mean of scores is,

M=xin=3+1+5+14=104=2.5

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

SS=(xiM)2=(32.5)2+(12.5)2+(52.5)2+(12.5)2=0

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