Question

The following are the monthly in rupees of 20 employees of a firm:
130 62
145 118 1 2576 151 142 11098
65 116 100 103
86
80122132.95
The firm gives bonus of Rs 10, 15, 20, 25 and 30 for individuals in the
respective salary groups exceeding Rs.60 but not exceeding Rs. 80, exceeding
Rs.80 but not exceeding Rs. 100 and so on up to Rs. 140 but not exceeding
Rs. 160. Find the average bonus paid per employee.
RO​

Answer 1

Answer:

Correct option is

D

735.29 Rs.

Consider the following table to calculate median:

ci fi cf

<500 4 4

500-600 12-4=8 12

600-700 24-12=12 24

700-800 41-24=17 41

800-900 51-41=10 51

900-1000 58-51=7 58

1000-1100 60-58=2 60

Median =l+

f

m

(

2

N

−cf)

×c

Here,

Class Interval c=100

N=Σf

i

=60

2

N

=30

⇒ Median class =700−800

⇒Frequency of median classf

m

=17

Lower boundary of median class l=700

previous cumulative frequency of median class cf=24

∴ Median =700+

17

(

2

60

−24)

×100

∴ Median =700+

17

(6)

×100

∴ Median =735.29

Hence. option D is correct.

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