find the standard deviation of sample data summarized in a frequency distribution table 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 deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: (Exercise a) 3.2 mg; (Exercise b) 12.5 beats per minute.
a)
Tar (mg) in Non-filtered Cigarettes
Frequency
10–13
1
14–17
0
18–21
15
22–25
7
26–29
2
b)
Pulse Rates of Females
60–69
12
70–79
14
80–89
11
90–99
100–109
110–119
120–129
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