Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n(n - 1) Interval 30-39 40-49 50-59 Frequency 60-69 70-79 80-89 90-99 4. 1 14 35 39 Standard deviation = (Round to one decimal place as needed.)

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Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class
midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard
deviation obtained from the original list of data values, 11.1.
n(n-1)
Interval
30-39
40-49
50-59
60-69
70-79
80-89
90-99
Frequency
4.
14
35
39
Standard deviation = (Round to one decimal place as needed.)
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Transcribed Image Text:Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n(n-1) Interval 30-39 40-49 50-59 60-69 70-79 80-89 90-99 Frequency 4. 14 35 39 Standard deviation = (Round to one decimal place as needed.) Help me solve this View an example Get more help- Clear all Check answer
Expert Solution
Step 1

by using given data;

Class(Interval)
Frequency (f)
Mid value (x)
f⋅x
f⋅(x^2)
30-39 2 34.5 69 2380.5
40-49 4 44.5 178 7921
50-59 2 54.5 109 5940.5
60-69 1 64.5 64.5 4160.25
70-79 14 74.5 1043 77703.5
80-89 35 84.5 2957.5 249908.75
90-99 39 94.5 3685.5 348279.75
  n=97   fx=8106.5 f⋅(x^2)=696294.25
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