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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
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The mean of 24 numbers is 35. If 3 is added to each number, what will be the new mean?
Answer:
Consider x1, x2, …….. x24 as the given numbers
So we get
Mean = (x1 + x2, …….. + x24)/24
It is given that mean = 35
(x1 + x2, …….. + x24)/24 = 35
By cross multiplication
x1 + x2, …….. + x24 = 840 ……. (1)
Take (x1 + 3), (x2 + 3), ……… (x24 + 3) as new numbers
So the mean of new numbers = [(x1 + 3) + (x2 + 3) + ……… + (x24 + 3)]/24
From equation (1) we get
[(x1 + 3) + (x2 + 3) + ……… + (x24 + 3)]/24 = (840 + 72)/24
On further calculation
[(x1 + 3) + (x2 + 3) + ……… + (x24 + 3)]/24 = 912/24
By division
Mean of new numbers = 38
Therefore, the mean of the new numbers is 38.
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