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.
Learn more about standard deviation and variance
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