Question

 Find missing frequency from the following data

Class Frequency

50 - 100 35

100 - 150 60

150 - 200 ?

200 - 250 40

250 - 300 20

median = 168​

Answer 1

Step-by-step explanation:

To find median class

Here, median is 168.

∴ The median class is 150-200.

Now,

∴L=lower boundary point of median class =150

∴n=Total frequency =a+155

∴cf=Cumulative frequency of the class preceding the median class =95

∴f=Frequency of the median class =a

∴c=class length of median class =50

Median M=L+

n

2

-cf

f

⋅c

168=150+

(a+155)

2

-(95)

a

⋅50

168-150=

(a+155)

2

-(95)

a

⋅50

18=

(a+155)-2(95)

2⋅a

⋅50

18=

(a+155)-(190)

2a

⋅50

18⋅2a=((a+155)-(190))⋅50

36a=(a-35)⋅50

36a=50a-1750

-14a=-1750

14a=1750

a=

1750

14

a=125

Thus, the missing frequency is 125.