Question

If the mode of the data is 34.5, find the missing frequency 'f':
Class
0-15
15-30
30-45
45-60
60-75
Frequency
2
7
f
3
7.​

Answer 1

Step-by-step explanation:

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1. f kh of ki ki yi gokjkk

dg in lkl

1. tic klgoh oh dg knmo go o
2. f kh jo p of dfl
3. fkpgh

Answer 2

Solution :-

Class Frequency

0 - 15 2

15 - 30 7

30 - 45 f

45 - 60 3

60 - 75 7

we know that,

• Mode = l + [(f1 - f0) / (2f1 - f0 - f2)] * h

since mode is given as 34.5 . then, modal class is 30 - 45.

so, we have,

• l = lower limit of modal class = 30
• f1 = frequency of modal class = f
• f0 = previous frequency = 7
• f2 = next frequency = 3 .
• h = size of class = 15 .

Putting all values we get,

→ 34.5 = 30 + [(f - 7)/(2f - 7 - 3)] * 15

→ 34.5 - 30 = [(f - 7)/(2f - 10)] * 15

→ 4.5(2f - 10) = 15(f - 7)

→ 9f - 45 = 15f - 105

→ 15f - 9f = 105 - 45

→ 6f = 60

→ f = 10. (Ans.)

Hence, the missing frequency is 10.

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