 # RS Aggarwal Solutions Class 9 Mathematics Solutions for Mean Median And Mode Of Ungrouped Data Exercise 18C in Chapter 18 - Mean Median And Mode Of Ungrouped Data

Question 10 Mean Median And Mode Of Ungrouped Data Exercise 18C

Find the median of the data

46, 41, 77, 58, 35, 64, 87, 92, 33, 55, 90.

In the above data, if 41 and 55 are replaced by 61 and 75 respectively, what will be the new median?

We know that n = 11 which is odd

By arranging the numbers in ascending order

We get

33, 35, 41, 46, 55, 58, 64, 77, 87, 90, 92

So we get

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

By substituting the values

Median = [(11 + 1)/2]th value

We get

Median = 6th value = 58

By replacing 41 and 55 by 61 and 75

By arranging the numbers in ascending order

We get

33, 35, 46, 58, 61, 64, 75, 77, 87, 90, 92

So we get

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

By substituting the values

Median = [(11 + 1)/2]th value

We get

Median = 6th value = 64

Therefore, the new median is 64.

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