Question

What is the media:n of the distribution: 34, 22, 13, 11 , 27, 19, 25, 16?

Options

• 19

• 21.5

• 20.5

• 22

Answer 1

20.5

Explanation:

The distribution of numbers are 34, 22, 13, 11 , 27, 19, 25, 16.

First arrange the number in ascending number.

So, no. are 11 , 13 , 16, 19, 22, 25, 27 and 34

Number of terms (n) = 8 = even no.

So, Median = `(n/2 "th  term" + (n/2 + 1)^"th" "term")/2`

= `((8/2)^"th"  "term" + (8/2 + 1)^"th"  "term")/2`

= `(4^"th"  "term" + 5^"th"  "term")/2`

= `(19 + 22)/2`

= `41/2`

= 20.5