Question

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

Answer 1

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

Answer 2

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

Step-by-step 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

$\text{ i.e. Median}=97 Lower quartile = Median of lower half [72, 83, 87, 90][tex]\dfrac{83+87}{2}=85$

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

$\dfrac{114+117}{2}=115.5$