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
please answer!

Given:

Frequency distribution table.

Mode = 34.5

To find:

The value of missing frequency 'f'.

Solution:

Formula for mode is

where, l is lower limit of modal class, is frequency of modal class, is frequency of preceding class, is frequency of succeeding class, h is class size.

Mode is 34.5, so the modal class is 30-45. So,

Putting these values in the above formula, we get

Divide both sides by 15.

Separating variable terms, we get

Divide both sides by -0.4.

Therefore, the value of f is 10.