Question

Record of no. of days of medical leave taken by $30$ employees within a year is given below.

No. of days	0 - 10	10 - 20	20 - 30	30 - 40	40 - 50
No. of employees	5	7	11	4	3

Find mean number of days of medical leave taken by an employee in a year.

• A. $29.67$ days
• B. $25.67$ days
• C. $22.67$ days
• D. $20.6$ days

Answer 1

Answer: (C)

$22.67$ days

Consider the following table, to calculate mean:

$ci$	$f_i$	$x_i$	$f_i{x}_i$
0-10	5	5	25
10-20	7	15	105
20-30	11	25	275
30-40	4	35	140
40-50	3	45	135

$N=\Sigma f_i=30$

$\Sigma f_i{x}_i=680$

Mean $\overline{x}=\frac{\Sigma f_i{x}_i}{N}$

$\therefore \overline{x}=\frac{680}{30}=22.67$

Mean number of days of medical leave taken by an employee in a year is $22.67$ days.

Hence, option $C$ is correct.