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

Question 6 Mean Median And Mode Of Ungrouped Data Exercise 18D

For what value of x is the mode of the data 24, 15, 40, 23, 27, 26, 22, 25, 20, x + 3 found 25? Using this

value of x, find the median.

Answer:

It is given that

Mode = 25

So we know that 25 occurs maximum number of times

Take x + 3 = 25

On further calculation

x = 22

We get

24, 15, 40, 23, 27, 26, 22, 25, 20, 25

By arranging the numbers in ascending order

We get

15, 20, 22, 23, 24, 25, 25, 26, 27, 40

So the number of observations = 10

We get

Median = ½ {(n/2)th term + (n/2 + 1)th term}

By substituting the values

Median = ½ {(10/2)th term + (10/2 + 1)th term}

So we get

Median = (5th term + 6th term)/2

On further calculation

Median = (24 + 25)/2

We get

Median = 49/2 = 24.5

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