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. S= n [Σ(f•x?)] - [Σ«•x)]2 n(n-1) Interval Frequency Standard deviation = 30-36 2 37-43 2 44-50 7 …… 51-57 4 (Round to one decimal place as needed.) 58-64 8 65-71 31 72-78 29 n

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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.
S=
n[Σ(f•x)]-[Σ«•x]
n(n-1)
Interval
Frequency
30-36
2
37-43
2
44-50
7
Standard deviation = (Round to one decimal place as needed.)
51-57
4
58-64
8
65-71
31
72-78
29
D
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. S= n[Σ(f•x)]-[Σ«•x] n(n-1) Interval Frequency 30-36 2 37-43 2 44-50 7 Standard deviation = (Round to one decimal place as needed.) 51-57 4 58-64 8 65-71 31 72-78 29 D
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