Question

Find the mode of the following distribution:
Class interval: 25-35,35-45,45-55,55-65,65-75,75-85
Frequency: 7,31,33,17,11,1

Answer 1

Answer:

46.1

Step-by-step explanation:

in the above answer he had done calculation mistake

Answer 2

The mode of the given class distribution is 46.1

Given:

Class interval: 25-35,35-45,45-55,55-65,65-75,75-85

Frequency: 7,31,33,17,11,1

To find: The mode of the distribution

Solution:

The maximum class freqquency is 33, so the corresponding class is the modal class.

Now,

The modal class=45-55,

lower limit of modal class(l)=45

frequency($f_{1}$) of the modal class=33

frequency($f_{0}$) of class preceding the modal class=31

frequency($f_{2}$)  of class succeeding the modal class=17

size of class interval(h)=10

We know;

Mode= l+[($f_{1}$-$f_{0}$)/($f_{1}$-$f_{0}$-$f_{2}$0]h

=45+[(33-31)/(33-31-17)]10

=45+[2×10/18]

=45+10/9

=45+1.1

=46.1

So, The mode of the distribution is 46.1