Question

222.
A survey regarding the heights in cm of 50 girls of Class-X of a school was conducted & the 3
following data was obtained. Find the Median height.
Height (In cm)
Less than 140
Less than 145
Less than 150
Less than 155
Less than 160
Less than 165
No. of Girls
4
10
29
40
46
50​

Answer 1

Answer:

HOPE IT'LL HELP YOU

Step-by-step explanation:

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