Question

8 choose the set of data that is displayed in the box plot. data set a: 1, 30, 39, 12, 13, 20, 11, 22, 29 data set b: 11, 28, 13, 1, 11, 39, 30, 20, 22

Explanation:

Step1: Arrange data set A in ascending order

Sort the data set \(A:1,11,12,13,20,22,29,30,39\)

Step2: Check the five - number summary

The minimum is \(1\), \(Q_1\) (first quartile) is \(12\) (incorrect as per box - plot \(Q_1 = 11\)), so data set A is wrong.

Step3: Arrange data set B in ascending order

Sort the data set \(B:1,11,11,13,20,22,28,29,30,39\)

Step4: Check the five - number summary

The minimum is \(1\), \(Q_1 = 11\), median \(= 20\), \(Q_3=29\), maximum \(=39\) which matches the box - plot.

Answer:

Data set B is the correct one.