A population has ss = 100 and σ2 = 4. how many scores are in the population?
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:
\(4=\frac{100}{n-1}\\4(n-1)=100\ -1=\frac{100}{4}\ -1=25\ =25+1\ =26\)
This shows that there are 26 scores in the population.
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