Question

the median and mode of distribution of 21.2 and 21.4 respectively then the value of Mean is 28.2 is correct or not​

Answer 1

Answer:

Step-by-step explanation:

By imperical formula

3 median = mode + 2 mean

median = 21.2

mode = 21.4

(3 median - mode)/2 = mean

( 3×21.2 - 21.4)/2 = mean

( 63.6-21.4)/2 = mean

42.2/2 = 21.1

The value of mean is 21.1 if the median is 21.2 and mode is 21.4

thus the value of mean of 28.2 is not correct

Answer 2

Answer: Not Correct

Step-by-step explanation:

$\textsc{Mean = }\dfrac{1}{2}\, \; \Big(\textsc{3(Median) - Mode}\Big) \\ \\ \implies \tt{LHS \ = 28.2} \\ \\ \implies \tt{RHS\ = \dfrac{1}{2}\times\Big(3\times(21.2)-21.4)\Big)=21.1}\\ \\ \implies \tt{LHS \neq RHS}\\ \\ \text{Hence it is not correct.}$