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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 15 numbers is 27. If each number is multiplied by 4, what will be the mean of the new numbers?
Answer:
Consider x1, x2, ……. x15 as the given numbers
So we get
Mean = (x1 + x2 + ……. + x15)/15
It is given that mean = 27
(x1 + x2 + ……. + x15)/15 = 27
By cross multiplication
x1 + x2 + ……. + x15 = 405 …… (1)
Take (x1 × 4), (x2 × 4), ……… (x15 × 4) as new numbers
So the mean of new numbers = [(x1 × 4) + (x2 × 4) + ……… + (x15 × 4)]/15
From equation (1) we get
[(x1 × 4) + (x2 × 4) + ……… + (x15 × 4)]/15 = (405 × 4)/ 15
On further calculation
Mean of new numbers = 1620/15 = 108
Therefore, the mean of new numbers is 108.
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