Question: If we consider the values 1, 2, 3, . . . , n to be a population, the standard deviation can be calculated by the

If we consider the values 1, 2, 3, . . . , n to be a population, the standard deviation can be calculated by the formula.

This formula is equivalent to Formula 2-4 modified for division by n instead of n - 1, where the data set consists of the values 1, 2, 3,. . . n.
a. Find the standard deviation of the population 1, 2, 3, ..., 100.
b. Find an expression for calculating the sample standard deviation s for the sample values 1, 2, 3,. . . n.
c. Computers and calculators commonly use a random-number generator that produces values between 0.00000000 and 0.99999999. In the long run, all values occur with the same relative frequency. Find the mean and standard deviation for the population of those values.

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a For n 100 100 2 112 289 b The derivation below uses the following two algebraic facts 1 2 ... View full answer

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