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
[tex]\text{ i.e. Median}=97
Lower quartile = Median of lower half [72, 83, 87, 90]
[tex]\dfrac{83+87}{2}=85[/tex]
Upper quartile = Median of upper half [ 101, 114, 117, 142]
[tex]\dfrac{114+117}{2}=115.5[/tex]
