Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14,
MATHEMATICS
WAEC 2018
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
- A. 6
- B. 7
- C. 8
- D. 9
Correct Answer: C. 8
Explanation
\(Q_1 = \frac{1}{4}\) (N + 1)th
\(\frac{1}{4} \times 12^{th}\) no.
= 3rd no (\(\cong\) 4)
\(Q_3 = \frac{3}{4}\) (N + 1)th
= \(\frac{3}{4}\) x 12th no.
= 9th no. (\(\cong\) 12)
Hence, interquartile range
= \(Q_3 - Q_1\)
= 12 - 4
= 8
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