# 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 21 Mean Median And Mode Of Ungrouped Data Exercise 18A

The mean of 31 results is 60. If the mean of the first 16 results is 58 and that of the last 16 results is 62,

find the 16th result.

Answer:

It is given that

Mean of 31 results = 60

So the total sum = 31 (60) = 1860

We know that

Mean of first 16 results = 58

So the total sum = 16 (58) = 928

Mean of last 16 results = 62

So the total sum = 16 (62) = 992

We get the 16th result = total sum of first 16 results + total sum of last 16 results – total sum of 31 results

By substituting the values

16th result = 928 + 992 – 1860

On further calculation

16th result = 1920 – 1860 = 60

Therefore, the 16th result is 60.

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