# The mean of ungrouped data is 12 ,if each observation is doubled then find the mean of new data?

2
by nvenkateswarlu

2015-03-23T21:52:29+05:30

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If each observation is changed by x times, then the mean also changes by x times. Here, the each observation is doubled. So the mean will also be doubled.

initial mean = 12
final mean = 12×2 = 24
2015-03-24T13:09:14+05:30

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Let the data be a1,a2,a3
(a1+a2+a3)/3=12
a1+a2+a3=36  -------------> 1
given that data is doubled
so, (2a1+2a2+2a3)/3
=[2(a1+a2+a3)]/3
=2(36)/3
=2(12)
=24
mean of new data is 24