Question

Find the mode of the following distribution :

Classes : 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40

Frequency : 45 30 75 20 35 15​

Answer 1

Answer:

The mode is 22.25

In the given question

Modal class = 20 - 25

f1 = 75

f2 = 20

f0 = 30

l = 20

h= 5

on applying formula the mode is

= 20 + (75-30) /2(75) -20-30* 5

= 20 + 45/150-50*5

= 20+45/100*5

= 20+225/100

= 20 +2.25

= 22.25

Answer 2

Step-by-step explanation:

first we find xi =12.5 ,17.5 ,22.5 ,27.5 ,32.5 ,37.5

then we find fixi = 562.5 ,525.0 ,1687.5 ,550.0 ,

1137.5 ,562.5

then ,

Total of fixi /Total of fi

5025.0/220

22.33