Question

ten observation 6,4,15,17,x+1,2x-13,30,32,34,43 are in ascending order. the median of the data is 24, find x.

Answer 1

Given that the median of data = 24.

Given that the observations are 6,4,15,17,x+1,2x-13,30,32,34 and 43.

Number of observations = 10(Even).

 Median = Value of (10/2)th observation + value of ((10/2) + 1)th observation/(2)

  24      = Value of 5th observation + Value of 6th observation/(2)

 24       = x + 1 + 2x - 13/(2)

 24       = 3x - 12/(2)

24 * 2 = 3x - 12

48 = 3x - 12

48 + 12 = 3x

60 = 3x

x = 60/3

x = 20.


Therefore the value of x = 20.


Hope this helps!