analyzing grouped data

Question

Calculate the sample variance and sample standard deviation for the following frequency distribution of heights in centimeters for a sample of 8-year-old boys. If necessary, round to one more decimal place than the largest number of decimal places given in the data.

Heights in CentimetersClassFrequency
120.6 - 123.6120.6 - 123.6	2020
123.7 - 126.7123.7 - 126.7	4040
126.8 - 129.8126.8 - 129.8	1818
129.9 - 132.9129.9 - 132.9	3636
133.0 - 136.0133.0 - 136.0	1313

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Answer 1

sample standard deviation=4.9175197

sample variance=24.182