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Answer: Finding Standard Deviation from a Frequency

Chapter 3, Problem 39BSC

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QUESTION:

Finding Standard Deviation from a Frequency Distribution. In Exercises 37–40, 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 3­4 with the original list of data values: (Exercise 37) 11.1 years; (Exercise 38) 9.0 years; (Exercise 39) 13.4; (Exercise 40) 9.7 years. 

      \(s=n[\Sigma(f \cdot x 2)]-[\Sigma(f \cdot x)] 2 n(n-1)\) Standard deviation for frequency distribution

Equation Transcription:

Text Transcription:

s=n[\Sigma(f \cdot x 2)]-[\Sigma(f \cdot x)] 2 n(n-1)

Questions & Answers

QUESTION:

Finding Standard Deviation from a Frequency Distribution. In Exercises 37–40, 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 3­4 with the original list of data values: (Exercise 37) 11.1 years; (Exercise 38) 9.0 years; (Exercise 39) 13.4; (Exercise 40) 9.7 years. 

      \(s=n[\Sigma(f \cdot x 2)]-[\Sigma(f \cdot x)] 2 n(n-1)\) Standard deviation for frequency distribution

Equation Transcription:

Text Transcription:

s=n[\Sigma(f \cdot x 2)]-[\Sigma(f \cdot x)] 2 n(n-1)

ANSWER:

Solution 39BSC

Step 1 of 3

From the given information, the frequency distribution of Verbal IQ score of subject exposed to lead is

Verbal IQ Score

of Subject

Exposed to Lead

Frequency

50 – 59

4

60 – 69

10

70 – 79

25

80 – 89

43

90 – 99

26

100 – 109

8

110 – 119

3

120 – 129

2

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