Question

If M + Z = 75 and M - Z = 1.4 then find the mean, median and mode of the
distribution.​

Answer 1

Answer:

Mean = x = 38.9

Median = M = 38.2

Mode = Z = 36.8

Step-by-step explanation:

using empirical relation

mode(z)=3median(m)-2mean(x)

M+Z=75.....(1)

M-Z=1.4....(2)

(1)-(2)

2M=76.4

M=38.2

M=38.2 substitute equation (1)

38.2+Z=75

Z=75-38.2=36.8

36.8=3×38.2-2X

36.8=114.6-2X

36.8-114.6=-2x

-77.8=-2X

x=38.9