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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

Respuesta :

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

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]

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