Question

If mean and mode of any frequency distribution in 18.3 and 21.6 respectively then the median is

Answer 1

median = 19.4

Step-by-step explanation:

Given data;

mean  = 18.3

mode = 21.6

relation between mean,median and mode is given as

Mode = 3 median - 2 mean

plugging all value in the above formula to get the median value

$21.6 = 3\times median - 2\times 18.3$

solving for median

$median = \frac{21.6 + 2\times 18.3}{3}$

median = 19.4

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Answer 2

The value of median-19.4

Step-by-step explanation:

The frequency of mean=18.3

The frequency of mode=21.6

According to the formula,

                  Mode=3×median -2×mean

                     Median=Mode+2×Mean/3

                     Median=$\frac{21.6+2\times18.3}{3}$

                                 =$\frac{21.6+36.6}{3}$

                                 =19.4