Question

A population has ss = 100 and σ2 = 4. how many scores are in the population?

Answer 1

100/(n-1)=4
100=4n-4
104=4n
26=n
So there are 26 scores

Answer 2

There are 26 scores in the population.

The standard deviation formula is expressed as;

$\sigma ^2=\frac{ss}{n-1}$

Given the following

$\sigma^2 = 4\\ss=100$

n is the number of scores

Substitute the given values into the formula as shown:

$4=\frac{100}{n-1}\\4(n-1)=100\\n-1=\frac{100}{4}\\n-1=25\\n=25+1\\n=26$

This shows that there are 26 scores in the population.

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