Question

If the median of x,2x,4x is 12,then find mean of the data.

Answer 1

as. x < 2x < 4x
so median of data is 2x
so 2x = 12
so x = 6
which makes our data
6,12,24
now mean is
(6 +12+ 24)/3
which is 14

Answer 2

x, 2x, 4x
no. of terms(n) = 3, which is an odd no.

Therefore, median = {(n+1)/2}th term = {(3+1)/2}th term = (4/2)th term = 2nd term = 2x

But median = 12
i.e. 2x = 12
x = 6

Therefore, the data is
x,2x,4x = 6, 2×6, 4×6 =6,12,24

Mean= sum of terms/ no. of terms = (6+12+24)/3 = 42/3 = 14