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: Option C
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