Question

Find the mode of the following frequency distribution :
Class
0-15
15-30
30-45
45-60
60-75
75-90
90-105

Frequency
8
16
23
57
33
23
13

Answer 1

Dear student,

Modal class = 45-60

( modal class having higher frequency)

l = 45

f1 = 57

f0 = 23

f2 = 33

h = 15

Mode = l + h (\frac{f_{1} - f_{0}}{2f_{1}-f_{0}-f_{2}} )

Mode = 45 + 15 (\frac{57 - 23}{2(57)-23-33} )

Mode = 45 + 15 (\frac{34}{58} )

= 45 + 510/58

= 45+8.84

= 53.79

Mode of the data is 53.79

Hope it helps you.

Answer 2

Answer:

15.44

16.22

14.55

17.33