Question

if the mode of the data is 34.5, find the missing frequency 'f' :
​

Answer 1

using this method and solve your problems.......

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.

Learn more :-

calculate the median and mode from the following income between (rs)100-200 100-300 100-400 100-500 100-600 no of person...

https://brainly.in/question/23585381

Some students of class X donated for the welfare of old age persons. The contributions are shown in the following distri...

https://brainly.in/question/17314012