Question

The arethmetic mean and mode of the data is 24 and 12 respectively then the median of the data is

Answer 1

Mode = 3median - 2 mean
12 = 3median - 2(24)
12= 3median - 48
12+48 = 3median
Median = 60/3 = 30.

Answer 2

Answer:

The arithmetic mean and mode of the data is 24 and 12 respectively then the median of the data is 20.

By the given data;

Arithmetic Mean of the given data is 24.

A.M = 24 = Mean.

Mode of given data is given as 12.

Mode = 12

Median of the data is unknown.

So we know that Mode of a data is equal to difference of thrice of median and twice of mean. We'll follow the following calculations;

Mode = 3*Median - 2*Mean

By the given values;

Mode = 3*Median - 2*(24)

Mode = 3*Median - 48

⇒ 12 +48 = 3*Median - 48 +48

60 = 3*Median

Median = 60/ 3 =20

Median = 20