Question

Which numbers represent the lower quartile, the median, and the upper quartile of the following set of numbers?

114, 90, 83, 101, 97, 142, 117, 87, 72

lower quartile: 87; median: 97; upper quartile: 117
lower quartile: 83; median: 93.5; upper quartile: 114
lower quartile: 85; median: 93.5; upper quartile: 115.5
lower quartile: 85; median: 97; upper quartile: 115.5

Answer 1

Lower quartile: 85; median: 97; upper quartile 115.5

Answer 2

Answer: lower quartile: 85; median: 97; upper quartile: 115.5

Explanation:

The given data set : 114, 90, 83, 101, 97, 142, 117, 87, 72

First we arrange all the data values in order.

72, 83, 87, 90, 97, 101, 114, 117, 142

Median = The middlemost value

`\text{ i.e. Median}=97 </p><p></p><p><strong>Lower quartile</strong> = Median of lower half [72, 83, 87, 90]</p><p>[tex](83+87)/(2)=85`

Upper quartile = Median of upper half [ 101, 114, 117, 142]

`(114+117)/(2)=115.5`