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

Question 19 Mean Median And Mode Of Ungrouped Data Exercise 18A

The mean of 8 numbers is 35. If a number is excluded then the mean is reduced by 3. Find the excluded

number.

It is given that

Mean of 8 numbers = 35

So the total sum = 35 (8) = 280

It is given that if a number is excluded then the mean is reduced by 3

So the new mean = 35 – 3 = 32

We know that total sum of 7 numbers = 32 (7) = 224

So we get

Excluded number = sum of 8 numbers – sum of 7 numbers

By substituting the values

Excluded number = 280 – 224 = 56

Therefore, the excluded number is 56.

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