Question

(a) The mode and mean are 26.6 and 28.1 respectively in an asymmetrical distribution. Find out the value of median.

(b) Explain the comparative features of mean, mode and median.

Answer 1

(a)

Z = 3M-2$\overline{X}$

26.6 = 3M-56.2

3M = 26.6+56.2=82.8

M = $\frac{82.8}{3}$=27.6

(b) The comparative features of mean, mode and median are as follows:

(i) Mean and median can always be estimated with certainty but not the mode

(ii) It is difficult to calculate mode as compared to mean and median

(iii) Median and mode can be graphically located but not the mean unless it involves a normal distribution