3.5.199 population mean

The​ heights, in​ inches, of the starting five players on a college basketball team are given below.

Regarding the five players as a​ population, solve the following problems.

First, we need to import the data from Excel. (For simplicity, this imports mannual by hand, we can get the same result by importing dataset from Excel)

x <- c(69, 72, 77 ,75, 85)
x

## [1] 69 72 77 75 85

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(a). Compute the population mean​ height, \(\mu\)

mean(x)

## [1] 75.6

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(b). Compute the population standard deviation of the​ heights, \(\sigma\)

sd(x)*sqrt((length(x)-1)/length(x))

## [1] 5.425864

Round to one decimal place

round(sd(x)*sqrt((length(x)-1)/length(x)), 1)

## [1] 5.4

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Hope that helps!