Calculate the population mean Round your answer to 2 decimal

Calculate the population mean. (Round your answer to 2 decimal places.)

Calculate the population variance and the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)

Solution

a)

Consider the table:

Thus,

mean = Sum(f x) / Sum(f) = 1058/174 = 6.08045977 [ANSWER]

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b)

As

variance = [Sum(f x^2) - Sum (f x)^2 / n] / n

Then

variance = [6878 - 1058^2/174]/174 = 2.556744616 [answer]

Also,

standard deviation = sqrt(variance) = 1.598982369 [answer]