# Solving frequency distribution problemIII

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

Practice problem III:

The measurement of height of 15 students in a group in centimeters:                                                                                      134,129,130,137,140,133,128,132,131,132,128,137,129,125,136.

### Solving frequency distribution problemIII

Solution:

Let us solve the problem step by step.

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

125, 128, 128, 129,129,130,131,132,132,133,134,136,137,137,140.

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

Lowest value  =  125

Highest value  =  140

Range      =  140-125 = 15.

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

We want 4 groups. So let us divide 15 by 4.

15/4 = 3.75

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 125 and the class interval is 4, so let us start the class interval from 125.

Starting at 125, with the class interval as 4, the lowest values of the class intervals are 125,129,133 and 137.

5. Let us table the given data and construct the frequency distribution table.

• The first 3 values of the rearranged data are 125, 128 and 128. So the frequency of the first class interval is 3.
• The second class interval is 129-132. The values falling in this class interval is 129,129, 130,131,132 and 132. So the frequency is 6.
• The third class interval is 133-136. The values are 133, 134 and 136. So the frequency of this class interval is 3.
• The fourth class interval is 137-140 and the values are 137, 137 and 140. The frequency is 3.
• 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 problemIII'. Students can practice the problem on their own, and they can verify with the solution if they have any doubt. If you are having any further doubt, you can contact us through mail, we will help you to clear all your doubts.