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Solution: Finding Standard Deviation from a Frequency
Chapter 3, Problem 40BSC(choose chapter or problem)
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: