## Solving frequency distribution problemII

In this page 'Solving frequency distribution problemII' we are going to see how to construct a frequency table for the given problem.

Practice problem II:

The number of magazines sold in a shop for 10 days as follows:                                  24,30,32,27,36,21,33,30,37,25.

### Solving frequency distribution problemII

Solution:

Let us solve the problem step by step.

1.   First we have to arrange the data in ascending order.

21, 24, 25, 27, 30,30, 32, 33,36, 37

2.   We have to find the highest and lowest values to find the data.

Lowest value  =  21

Highest value  =  37

Range      =  37-21 = 16.

3.   We have to divide the range by the number of groups we want so that we will get the class interval.

We want 5 groups. So let us divide 16 by 5.

16/5 = 3.2.

since we are getting the range as the decimal, we have to round it to the nearest number.

The class interval for this problem is 4.

4. To form the class interval we have to start from less than or equal to the smallest value of the given data.

The lowest value is 21 and the class interval is 4, so let us start the class interval from 20.

Starting at 20, with the class interval as 4, the lowest values of the class intervals are 20,24, 28, 32, 36. 5. Let us table the given data and construct the frequency distribution table.

• The first value of the rearranged data which is lying in the class interval is 21 . So the frequency of the first class interval is 1.
• The second class interval is 24-27. The values falling in this class interval is 24, 25 and 27. So the frequency is 3.
• The third class interval is 28-31. The values are 30 and 30. So the frequency of this class interval is 2.
• The fourth class interval is 32-35 and the values are 32, and 33. The frequency is 2.
• The fifth class interval is 36-39 and the values are 36,and 37. The frequency of this class interval is 2.

Now let us mark this in the frequency table first marking as tally mark and after that frequency values. We have drawn the frequency table for the given problem in this page 'Solving frequency distribution problemII'. Students can practice the problem on their own, and they can verify with the solution if they have any doubt. If you have any further doubt, you can contact us through mail, we will help you to clear all your doubts.