Question

find the unknown frequencies for following distribution if it means is 10.8​

Answer 1

Answer:

ANSWER

Let the missing frequencies be f

1

and f

2

.

Computation of Arithmetic Mean

x

i

f

i

f

i

x

i

0 46 0

1 f

1

f

1

2 f

2

2f

2

3 25 75

4 10 40

5 5 25

N=86+f

1

+f

2

∑f

i

x

i

=140+f

1

+2f

2

We have ,

N=200⇒200=86+f

1

+f

2

⇒f

1

+f

2

=114 ..... (i)

Also,

Mean = 1.46

⇒1.46=

N

∑f

i

x

i

⇒1.46=

200

140+f

1

+2f

2

⇒292=140+f

1

+2f

2

⇒f

1

+2f

2

=152 ....(ii)

Solving equation (i) and (ii), we get

f

1

=76 and f

2

=38