Find the standard deviation of the sample data summarized in

Find the standard deviation of the sample data summarized in a frequency distribution table by using the formula below, where equation represents the class midpoint, equation represents the class frequency, and equation represents the total number of sample values. Standard deviation for frequency distribution: equation .

Age of Best Actor When Oscar Was Won Frequency 20-29 =1

30-39= 26

40-49= 35

50-59=13

60-69= 6

70-79= 1

Solution

First fill the intervals without gap and then prepare the table as follows:

Variance = 1/n (sum of fx^2) -Mean ^2

Std dev = square root of variance

Interval Corrected CI Mid point freq
x f fx fx^2
20-29 19.5-29.5 24.5 1 24.5 600.25
34.5 26 897 30946.5
44.5 35 1557.5 69308.75
54.5 13 708.5 38613.25
64.5 6 387 24961.5
74.5 1 74.5 5550.25
82 3649 169980.5
Average 44.5 2072.933
Variance 92.68293
Std dev 9.627197
Find the standard deviation of the sample data summarized in a frequency distribution table by using the formula below, where equation represents the class midp

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