Question

from the following data of the wages of
7 workers compute the median wages
wages (in RS):1100, 1150, 1080,1120, 1600, 1400,1300​

Answer 1

ANSWER

Wage(inRs)

x

i

No. of workers

f

i

d

i

=x

i

−A

=x

i

−900 u

i

=

20

x

i

−900

f

i

u

i

800 7 −100 −5 −35

820 14 −80 −4 −56

860 19 −40 −2 −38

900 25 0 0 0

920 20 20 1 20

980 10 80 4 40

1000 5 100 5 25

N=∑f

i

=100 ∑f

i

u

i

=−44

We have

N= 100, ∑fiui= -44, A = 900 and h= 20.

∴Mean=

X

=A+h(

N

1

∑f

i

u

i

)

∴

X

=900+20×

100

−44

=900−8.8=891.2

Hence, mean wage = Rs. 891.2.