CFA Level 1: Population Standard Deviation Calculation

Population Standard Deviation Calculation

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Question

A population consists of all the weights of all defensive tackles on Sociable University's football team. They are: Johnson, 204 pounds; Patrick, 215 pounds;

Junior, 207 pounds; Kendron, 212 pounds; Nicko, 214 pounds; and Cochran, 208 pounds. What is the population standard deviation (in pounds)?

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Explanations

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A

Population variance = (Sum of squared deviation from the mean)/N. The mean is 210. Population variance = (36 + 25 + 9 + 4 + 16 + 4)/6 = 94/6 = 15.67.

Population standard deviation is the square root of the population variance = 3.958. xx-mean(x-mean)^2

204-636

215525

207-39

21224

214416

208-24