Question

What is the interquartile range for the data set? 241, 230, 201, 245, 209, 211, 242, 201, 204, 228, 242, 243

Answer 1

What is the interquartile range for the data set?

241, 230, 201, 245, 209, 211, 242, 201, 204, 228, 242, 243

THE ANSWER IS 35.5

Answer 2

The interquartile range for the data set is 35.5.

Explanation:

The given data set is

241, 230, 201, 245, 209, 211, 242, 201, 204, 228, 242, 243

Arrange the given data in ascending order.

201, 201, 204, 209, 211, 228, 230, 241, 242, 242, 243, 245

Divide the data in 4 equal parts.

(201, 201, 204), (209, 211, 228), (230, 241, 242), (242, 243, 245)

Now, we can say that the first quartile is the midpoint of 204 and 209. Third quartile is the midpoint of 242 and 242.

`Q_1=(204+209)/(2)=206.5`

`Q_2=(242+242)/(2)=242`

The interquartile range of the data set is

`IQR=Q_3-Q_1`

`IQR=242-206.5=35.5`

Therefore the interquartile range of the data set is 35.5.