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# Solved: Finding Standard Deviation from a Frequency ISBN: 9780321836960 18

## Solution for problem 38BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Problem 38BSC

Finding Standard Deviation from a Frequency Distribution. In Exercises,find the standard deviation of sample data summarized in a frequency distribution table by using the formula befaw, where x represents the class midpoint, f represents the class frequency, and n represents the total number ofsamph values. Aho, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values: 9.0 years. 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
Step-by-Step Solution:
Step 1 of 3

Problem 38BSC

Step1 of 3:

We have standard deviation for frequency distribution

s = Where,

x  represents the class midpoint,

f   represents the class frequency, and

n  represents the total number of sample values.

 Age of Best Actor When Oscar  Was Frequency 20–29 1 30–39 26 40–49 35 50–59 13 60–69 6 70–79 1

Step2 of 3:

We need to find the standard deviation of sample data summarized in a frequency distribution table by using the formula below,also, compare the computed standard deviations to these standard deviations obtained by using Formula 3-4 with the original list of data values. 11.1 years.

Step3 of 3:

Consider,

 Age of Best Actor When Oscar  Was Frequency       (f) Mid point(x) x2 fx2 fx 20–29 1 24.5 600.25 600.25 24.5 30–39 26 =34.5 1190.25 30946.5 897 40–49 35 44.5 1980.25 69308.75 1557.5 50–59 13
Step 2 of 3

Step 3 of 3

##### ISBN: 9780321836960

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