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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 12 numbers is 40. If each number is divided by 8, what will be the mean of the new
numbers?
Answer:
Consider x1, x2, ……. x12 as the given numbers
So we get
Mean = [x1 + x2 + ……. + x12]/12
It is given that mean = 40
(x1 + x2 + ……. + x12)/12 = 40
By cross multiplication
x1 + x2 + ……. + x12 = 480 …… (1)
Take (x1 ÷ 8), (x2 ÷ 8), ……… (x12 ÷ 8) as new numbers
So the mean of new numbers = [(x1 ÷ 8) + (x2 ÷ 8) + ……… + (x12 ÷ 8)]/12
From equation (1) we get
[(x1 ÷ 8) + (x2 ÷ 8) + ……… + (x12 ÷ 8)]/12 = (480 ÷ 8)/12
On further calculation
Mean of new numbers = 60/12 = 5
Therefore, the mean of the new numbers is 5.
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