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Question: Find the interquartile range of these 12 scores: 11, 13, 13, 16, 17, 18, 19, 19, 20, 22, 22, 25


A ) 13.5
B ) 9
C ) 6.5
D ) 20

Steps to derive

1 Interquartile range is the difference between the upper quartile and the lower quartile.



3 Lower quartile = 13 + 162 = 292 = 14.5

4 Upper quartile = 20 + 222 = 422 = 21

5 Interquartile range = upper quartile - lower quartile
5 = 21 - 14.5 = 6.5

6 So, the interquartile range of the scores given is 6.5.



Hence the right answer is Option C

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