Question

The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is ______.

विकल्प

• 45

• 49.5

• 54

• 56

Answer 1

The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is 54.

Explanation:

First, we arrange the given observations in ascending order as follows: 

22, 34, 39, 45, 54, 54, 56, 68, 78 and 84

Here, total number of observations, n = 10

Since, n is even, so we use the formula for median,

Median = `((n/2)"th observation" + (n/2 + 1)"th observation")/2`

= `((10/2)"th observation" + (10/2 + 1)"th observation")/2`  ...[Put n = 10]

= `(5"th observation" + 6"th observation")/2`

= `(54 + 54)/2`

= `108/2`

= 54

Hence, the median of given data is 54.