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MathematicsMathematics
13 May, 18:26

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

+3
Answers (2)
  1. 13 May, 18:41
    0
    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.
  2. 13 May, 18:55
    0
    The awnser would be D range
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Home » Mathematics » 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.
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