The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is
a. 45
b. 49.5
c. 54
d. 56

Solution:

Let us arrange the given observation in ascending order

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

Total observation n = 10

As n is even, let us use the median formula

Median = [(n/2)th observation + (n/2 + 1)th observation]/2

Substituting the value

= [(10/2)th observation + (10/2 + 1)th observation]/2

= [5th observation + 6th observation]/2

So we get

= [54 + 54]/2

= 108/2

= 54

Therefore, the median of the data is 54.

✦ Try This: The median of the data 28, 16, 32, 54, 65, 24, 19, 58, 44, 54 is

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14

NCERT Exemplar Class 9 Maths Exercise 14.1 Problem 21

The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is a. 45, b. 49.5, c. 54, d. 56

Summary:

The value of the middle-most observation obtained after arranging the data in ascending order is called the median of the data. The median of the data 78, 56, 22, 34, 45, 54, 39, 68, 54, 84 is 54

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