Question

Calculate the mean deviation from (i) the mean and (ii) the median. Also find the coefficient of mean deviation *
5 points

Answer 1

Answer:

Arrange the given observations in ascending order

40,54,62,68,76,90

Here, number of terms n=6(even)

∴ Median (M) =

2

(

2

n

)thterm+(

2

n

+1)thterm

=

2

62+68

=65

Σ∣x

i

−M∣=25+11+3+3+11+25=78

Mean deviation from median =

n

Σ∣x

i

−M∣

=

6

78

=13

∴ Coefficient of M.D.==

median

M.D.

=

65

13

=0.2