Question

For the following sample, calculate ss. then, compute the sample variance and standard deviation. scores: 5, 2, 2, 7, 9

Answer 1

The sample standard deviation is 7.6 and the sample variance is 2.76.

for the scores  5, 2, 2, 7, 9.

According to the question,

Sample size n = 5

Sample Mean = [5+2+2+7+9]/5

= 5

Formula for sample standard deviation = (x-mean)²/n

= [(5-5)²+(2-5)²+(2-5)²+(7-5)²+(9-5)²]/5

= [0+9+9+4+16]/5

= 38/5

= 7.6

Formula for sample variance = √sample standard deviation

=√7.6

=2.76.

Hence, the sample standard deviation is 7.6 and the sample variance is 2.76.

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