Question

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

Answer 1

Answer:

14

Step-by-step explanation:

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

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Answer 2

Answer:

mean=14

Step-by-step explanation:

if we arrange the observations in increasing order,i.e.,x,2x,4x as the number of observations is odd,the middle term will be median.

Median=2x

2x=12

x=12/2

x=6

Substituting x value

2x=12

4x=24

Mean is the average of the numbers

x+2x+4x/3

6+12+24/3

42/3

=14

Therefore,mean=14