Question

find the medium of the following distribution hieght=160-162,163-165,166-168,169-171,172-174 f=15,118,142,127,18
full form of cf​

Answer 1

Answer:

full form of cf:- cumulative frequency

We have, N=420.

Then,

2

N

=

2

420

=210

The cumulative frequency just greater than

2

N

is 275 then

165.5−168.5 is the median class such that, L=165.5,f=142,F=133 and h=168.5−165.5=3

⇒ Median=L+

f

2

N

−F

×h

Median=165.5+

142

210−133

×h

Median=165.5+1.63

∴ Median=167.13