Question

The data on the heights (in cm) of 50 girls of a school are given in the follow
table :
Height (in cm)
Number of girls:
Less than 140
Less than 145
Less than 150
Less than 155
Less than 160
Less than 165.
number of girl
4
11
29
40
46
50
Find the median height of the girls.​

Answer 1

Answer:

Height (in cm) f C.F.

below 140 4 4

140-145 7 11

145-150 18 29

150-155 11 40

155-160 6 46

160-165 5 51

N=51⇒

2

N

=

2

51

=25.5

As 29 is just greater than 25.5, therefore median class is 145-150.

Median=l+

f

2

N

+C

×h

Here, l= lower limit of median class =145

C=C.F. of the class preceding the median class =11

h= higher limit - lower limit =150−145=5

f= frequency of median class =18

∴median=145+

18

25.5−11

×5=145+4.03=149.03

Step-by-step explanation:

hope it helps