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Find the inter-quartile range of 1 3 4 5 8 9 10... - WAEC Mathematics 2018 Question

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 option: b

\(Q_1 = \frac{1}{4}\)Nth

\(\frac{1}{4} \times 11^{th}\) no.

= 2\(\frac{3}{4}th\) (\(\cong\) 4)

\(Q_3 = \frac{3}{4}\)  Nth

= \(\frac{3}{4}\) x 11th no.

= 8\(\frac{1}{4}\) no. (\(\cong\) 11) (\(\cong\) 11)

Hence, interquartile range

= \(Q_3 = Q_1\)

= 11 - 4

= 7

 

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