What is the IQR of the commute times? Practice problem R was used to get summary

Question

What is the IQR of the commute times?

Practice problem R was used to get summary statistics on data on the average commute time. For each of 51 states: commute=c(15.2, 15.4, 16.5, 16.9, 17.5, 17.5, 18.1, 18.9, 19.1, 19.4, 19.5, 19.7, 19.9, 20.3, 20.4, 21, 21.2, 21.6, 21.7, 21.8, 21.8, 22.1, 22.1, 22.5, 22.6, 22.7, 22.7, 22.9, 23, 23.2, 23.3, 23.3, 23.4, 23.4, 23.6, 23.7, 23.8, 24.5, 24.6, 24.7, 24.8, 24.8, 25.8, 26, 26.1, 26.5, 27, 28.4, 28.5, 30.2, 30.4) > summary(commute) Min. 1st Qu. Median Mean 3rd Qu.Max 15.20 20.10 22.70 22.43 24.55 30.40 7/22

Explanation / Answer

A)

IQR of the commute times is the first quartile subtracted from the third quartile.

That is, IQR = Q3-Q1 =24.55 - 20.10 = 4.45

B)

First Given data arranged in asecending order.

7.5, 7.8, 8.0, 8.0, 8.5, 8.7, 8.7, 8.8, 9.2, 10.1

Median= (8.5 + 8.7) / 2 = 8.6

Q3 = 8.8

The third quartile (Q3) is the middle value between the median and the highest value of the data set.

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