Finding Standard Deviation from a Frequency
Chapter 3, Problem 40(choose chapter or problem)
Finding Standard Deviation from a Frequency Distribution. In Exercises 3740,find the standard deviation of sample data summarized in a frequency distributiontable by using the formula below, where x represents the class midpoint, f represents theclass frequency, and n represents the total number of sample values. Also, compare thecomputed standard deviations to these standard deviations obtained by using Formula3-4 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 = Bn3 1 f # x22 4 - 3 1f # x2 4 2n 1n - 12 Standard deviation for frequency distributionYears PresidentLived after FirstInauguration Frequency04 859 21014 51519 72024 42529 63034 03539 1
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