Question

The following number are given-
$61,62,63,61,63,64,64$

$60,65,63,64,65,66,64$
The difference between their arithmetic mean and median will be:

• A. $0.4$
• B. $0.3$
• C. $0.2$
• D. $0.1$

Answer 1

The correct option is B $0.3$

$\therefore$ M=Arithmetic Mean = sum of all terms/number of terms

$=\frac{61+62+\mathrm{63.......}}{14}=63.2$
$\therefore Md=$ Median
$=L+\frac{\left(\frac{N}{2}-f\right)}{f}\times i$
$=62.5+\frac{7-4}{3}\times 1$
$=63.5$
$\therefore$ Required difference between A.M and Median.
$=M-Md$
$=63.2-63.5$
$=0.3$