If the median of x,2x,4x is 12,then find mean of the data.
Answers
Answered by
168
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
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
Answered by
95
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
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
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