Question

The observations are in ascending order is given. If median is 51. Find x

26,33,38,44,x+1,x+2,x+3 ,53,57,62,67.

Answer 1

Given ,

Observations ➡ 26,33,38,44,x+1,x+2,x+3 , 53,57,62,67

Number of observations ➡ 11 [odd]

Median of the data ➡ 51

$Median = ( \frac{n + 1}{2})th \: observation \\ \\Median = \frac{11 + 1}{2} \\ \\ Median = \frac{12}{2} \\ \\ Median = 6 \\ \\ (6 \: observation = x + 2) \\ \\ 51 = x + 2 \\ \\ 51 - 2 = x \\ \\ 49 = x \\ \\ Therefore \: value \: of \: x = 49$