Question

1. The following table gives the distribution of total household expenditure (in Rs) of 200 manual
workers in a city: Expenditure
In Rs
100-150
24
workers
150-200 200-250 250-300 300-350 350-400 400-450 450-500
40
33
28
30
22
16
7
Find
mean, mode and median of the above data. Also compare and interpret the three measures of
central tendency. (Ans: Rs. 266.25, Rs.184.78_, R$ 2.55.36-)​

Answer 1

Answer:

Please mark it as the brainliest.

Step-by-step explanation:

Let the assumed mean be A= 325 and h= 50.

Calculation of Mean

Expenditure

(in Rs.)x

i

​

Frequency f

i

​

Mid values x

i

​

d

i

​

=x

i

​

−A=x

i

​

−325 u

i

​

=

h

x−A

​

=

50

x

i

​

−325

​

f

i

​

u

i

​

100-150 24 125 -200 -4 -96

150-200 40 175 -150 -3 -120

200-250 33 225 -100 -2 -66

250-300 28 275 -50 -1 -66

300-350 30 325 0 0 0

350-400 22 375 50 1 22

400-450 16 425 100 2 32

450-500 7 475 150 3 21

N=∑f

i

​

=200 ∑f

i

​

u

i

​

=−235

We have,

N= 200, A= 325, h= 50, and ∑f

i

​

u

i

​

=−235

∴

X

=A+h

N

1

​

∑f

i

​

u

i

​

⇒

X

=325=50×[

200

−235

​

]

⇒

X

=325−

4

235

​

=325−58.75=266.25

Hence, the average expenditure is Rs. 266.25.