Question

The median of observation 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 arranged in ascending order is 24. Find the values of x

Answer 1

The given observation is 11, 12, 14, 18, x + 2, x + 4, 30, 32, 35, 41 ...(is ascending order)

The number of values = 10

Median = Average of `(10/2)^"th"` and `(10/2 + 1)^"th"` value

= Average of 5^th and 6^th value

24 = `(x + 2 + x + 4)/2`

24 = `(2x + 6)/2`

2x + 6 = 48

2x = 48 – 6

2x = 42

x = `42/2`

= 21

The value of x = 21