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WAEC Mathematics 2020 Paper

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Question : 43

Total: 48

The interquartile range of distribution is 7. If the 25th percentile is 16, find the upper quartile.

35
30
23
9

Solution:

Concept:

The interquartile range is the difference between the upper quartile and the lower quartile.

Explanation:

The 25th percentile is the lower quartile, so

Q_1 = 16

.

Interquartile range is given as

7

.

Thus,

Q_3 - Q_1 = 7

.

Substitute

Q_1 = 16

:

Q_3 - 16 = 7

.

So,

Q_3 = 7 + 16 = 23

.

Answer:

Upper quartile

= 23

.

Correct option: C.

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