First slide

Introduction to statistics

Question

The median of the series $8, 12, 15, 7, x, 19, 22$ lies in the interval

Moderate

A

$[12, 15]$
B

$[7, 15]$
C

$[15, 17]$
D

$[9, 12]$

Solution

Let us arrange given values (except x) m ascending order as follows:
$7, 8, 12, 15, 19, 22$
If $12 < x < 15$ , then x itself is the median.
If $x < 12$ , then median $= 12 .$
If $x > 15$ , then median $= 15 .$
Hence, median lies in the interval $[12, 15]$ .

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