The mean of the following data is 38 2 Find the missing frequencies f1 and f2 if the total - Maths - Statistics

Question

The mean of the following data is 38 2 Find the missing
frequencies f1 and f2 if the total frequency is
50

Classes

0-10

10-20

20-30

30-40

40-50

50-60

60-70

Frequency

4

F1

10

F2

8

5

Koka Sri Lakshmi Divya Sai · Accepted Answer

$Given Σ f_{i} = 50 \Rightarrow 4 + 4 + F_{1} + 10 + F_{2} + 8 + 5 = 50 \Rightarrow F_{1} + F_{2} + 31 = 50 \Rightarrow F_{1} + F_{2} = 19 - - - - (i)$

$We know that \frac{Σ f_{i} x_{i}}{Σ f_{i}} = 38 2 \Rightarrow \frac{20 + 60 + 25 F_{1} + 350 + 45 F_{2} + 440 + 325}{50} = 38 2 \Rightarrow 1195 + 25 F_{1} + 45 F_{2} = 1910 \Rightarrow 25 F_{1} + 45 F_{2} = 715 \Rightarrow 5 F_{1} + 9 F_{2} = 143 - - - - (i i) By solving (i) and (ii) we get F_{1} = 7 F_{2} = 12$

The mean of the following data is 38.2. Find the missing frequencies f1 and f2 if the total frequency is 50. Classes 0-10 10-20 20-30 30-40 40-50 50-60 60-70 Frequency 4 4 F1 10 F2 8 5

The mean of the following data is 38.2. Find the missing frequencies f1 and f2 if the total frequency is 50.

Classes

0-10

10-20

20-30

30-40

40-50

50-60

60-70

Frequency

4

4

F1

10

F2

8

5