Question

The Mode of given frequency distribution is 37. Findthe missing frequency x.
Class
0-10
10-20
20-30
30-40
40-50
50-60
60-70
frequency
4
7.
X
18
15
8.
7
​

Answer 1

Answer:

⇒ Modal class =30−40

So, f

0

=x,f

1

=16,f

2

=12,l=30 and h=10

⇒ Mode=l+

2f

1

−f

0

−f

2

f

1

−f

0

×h

⇒ 36=30+

2×16−x−12

16−x

×10

⇒ 6=

20−x

16−x

×10

⇒ 120−6x=160−10x

⇒ 4x=40

∴ x=10