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

Question

Mathematics

Carmelo Patrick

1 December, 09:44

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

+4

Answers (2)

Know the Answer?

Katelyn Navarro · Answer 1

Katelyn Navarro 1 December, 12:35

0

The awnser would be D range

Jaquan Franco · Answer 2

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.