Question

Find the range and interquartile range of the data. Round to the nearest tenth.

183, 339, 284, 111, 134, 344, 133
A. Range=211; interquartile range= 206
B. Range=233; interquartile range= 206
C. Range= 233; interquartile range= 156
D. Range= 211; interquartile range= 156

Answer 1

We first need to list the following Data Set:

111, 133, 134, 183, 284, 334, 339

Range = highest value - lowest value =

Range = 339 - 111 = 228

Interquartile range = upper quartile - lower quartile =

(or IQR = interquartile range, another term)

Interquartile range = 334 - 133 = 201

Answer 2

It's B.

Explanation:

The range is 344 - 111

= 233.

Arranging the data in ascending order:

111 133 134 183 284 339 344

The lower quartile = 133 and the upper quartile = 339.

So the interquartile range = 339 - 133

= 206.