Question

33. The mean of the following frequency distribution is 132 and the sum of the frequencies is 50
Find the missing frequencies f; and f2.
C.I 0-40 40 - 80 80 - 120 120 - 160 160 - 200 200 - 240
TL 4
7 1 11 12
f2
9​

Answer 1

Answer:

you can solve the question by this method....

Answer 2

$f_{1}=10, f_{2}=8$.

Solution:

The table attached below.

Let A be the assumed mean.

$\Sigma f_{i}=50, \sum f_{i} u_{i}=2 f_{2}+24$

$\bar{x}=132$ and height of the interval = 40

$\sum f_{i}=50$

$\Rightarrow\ f_{1}+f_{2}+32=50$

$\Rightarrow\ f_{1}+f_{2}=18$ – – – – (1)

$\bar{x}=A+\frac{\sum f_{i} u_{i}}{\sum f_{i}} \times h$

$132=100+\frac{24+2 f_{2}}{50} \times 40$

$132=100+\frac{4\left(2 f_{2}+24\right)}{5}$

$132=\frac{500+8 f_{2}+96}{5}$

Do cross multiplication.

$132 \times 5=8 f_{2}+596$

$8 f_{2}=64$

$f_{2}=8$

Substitute this value in equation (1)

$f_{1}+8=18$

$f_{1}=10$

Hence $f_{1}=10, f_{2}=8$.

To learn more...

1. The mean of the following frequency distribution is 50 find the missing frequencies f1 and f2

Class 0-20 0-40 40-60 60-80 80-100 total  17 f1 32 f2 19 120

https://brainly.in/question/2460493

2. The mean of the following distribution is 57.6 and the sum of its frequencies is 50, find the missing frequencies f1 and f2.

Class : 0–20 20–40 40–60 60–80 80–100 100–120

Frequency: 7 f1 12 f2 8 5 .

https://brainly.in/question/2884946