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Kwan recorded two sets of data.

Set 1: 9, 13, 6, 18, 15, 19, 20
Median: 15
Lower Quartile: 9
Upper Quartile: 19
Range: 11
IQR: 10

Set 2: 9, 13, 6, 18, 15, 19, 20, 63
Median: 16.5
Lower Quartile: 11
Upper Quartile: 19.5
Range: 54
IQR: 8.5

One set of data shows an outlier. Which measure of spread was most impacted by the outlier?

A. lower quartile
B. median
C. interquartile range (IQR)
D. range

Respuesta :

May5sos
D. Range
The data shows that the range for set one is 11 and the range for set 2 is 54, while the other measures are pretty close to each other ( 19 and 19.5 are only .5 off). Therefore, you can see that the range was affected the most. This is because since you now have a higher maximum to subtract the minimum from, the range will be higher. Think of it like this- the difference of 63 and 9 is much greater than the difference of 20 and 9.
The awnser would be D range