Question

Tha artimatetic mean and mode of a data are 24 and 12 respectively then find median of the data

Answer 1

Mode =3 median - 2 mean
12=3 median - 48
3 median =60
Median =20

Answer 2

The median of a data will be 20

Explanation:

Arithmetic mean = 24

Mode = 12

Then using the equation of the mode, we can calculate the median of the data, As given below the equation of the mode:

Mode = 3(median) - 2(Arithmetic mean)

For median the equation will become

median = Mode + 2(Arithmetic mean) /3

i.e.

median = (12 + 48)/3 = 20

median = 20