Give steps if construction Of continuous frequency distribution?
The following are the steps involved in the construction of a continuous frequency distribution.
Step 1: As a first step, we determine the range of the data. That is, we determine the difference between the highest value and the lowest value of the data.
Step 2: Based on the range of the data, determine the number of classes to be taken for the frequency distribution. For example, if the range of the data is 50 and we wish to keep the width of the class as 10. So, here the number of classes would be 5 (i.e. 50 ÷ 10).
Step 3: Next, we determine the class limits. The class limits can be determined using the following two methods.
- Inclusive Method
- Exclusive Method
Step 4: Corresponding to each class, count the number of items that belong to that range. This gives the frequency corresponding to each class.
Step 5: Resulting table is the continuous frequency distribution table.
For example, consider the following data that presents the marks of 30 students in a class
40 | 38 | 37 | 20 | 17 | 35 | 30 | 29 | 20 | 15 |
11 | 10 | 07 | 08 | 15 | 20 | 22 | 49 | 32 | 50 |
30 | 22 | 27 | 09 | 39 | 45 | 47 | 23 | 39 | 24 |
For this data, the continuous frequency distribution is as follows.
Class Interval (Marks) | Tally Bars | Frequency (Number of Students) |
0 – 10 |
| 3 |
10 – 20 |
| 5 |
20 – 30 |
| 9 |
30 – 40 |
| 8 |
40 – 50 |
| 5 |
|
| Total = 30 |
