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# Solution: Finding Standard Deviation from a Frequency

## Problem 40BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Problem 40BSC

Problem  40BSC

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: 9.7years.

 Years President Lived after First Inauguration Frequency 0–4 8 5–9 2 10–14 5 15–19 7 20–24 4 25–29 6 30–34 0 35–39 1
Step-by-Step Solution:
Step 1 of 2

Solution  40BSC

From the given information, the frequency distribution of years President lived after first inauguration is

 Years President Lived after first Inauguration Frequency 0 – 4 8 5 – 9 2 10 – 14 5 15 – 19 7 20 – 24 4 25 – 29 6 30 – 34 0 35 – 39 1

Step 2 of 2

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