Calculate the sample standard deviation and sample variance for the following frequency distribution of heart rates for a sample of american adults. if necessary, round to one more decimal place than the largest number of decimal places given in the data.

Let's complete the question using these data

Heart Rates in Beats per Minute

Class Frequency

61-66 2

67-72 11

73-78 11

79-84 3

85-90 8

Sample variance = 56.6924

Sample std dev = 7.5

Explanation:

First, let's find the average

The average

(2 x 63.5 + 11 x 69.5 + 11 x 75.5 + 3 x 81.5 + 8 x 87.5)

___________________________

(2+11+11+3+8)

2666.5

= _______

35

= 76.18571

variance = 1927.54/34

= 56.6923529

Sample variance = 56.6924

std dev = sqrt( variance)

= sqrt(56.6924)

= 7.529

Sample std dev = 7.5

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