Calculation of f0 when F1 is Present in the First Column of the Frequency Distribution Table to Find Mode
- Understanding the Frequency Distribution Table
Before calculating the mode, it is important to understand the frequency distribution table. The frequency distribution table is a table that shows the frequency of each value or range of values in a dataset. The table is divided into columns, with the first column showing the range of values, and the second column showing the frequency of each value or range of values.
- Identifying the Mode
The mode is the value or range of values that occur most frequently in a dataset. To find the mode from a frequency distribution table, we look for the value or range of values that has the highest frequency.
- Finding f0 When F1 is Present in the First Column
When F1 is present in the first column of the frequency distribution table, it means that the mode is the lower boundary of the modal class. The modal class is the class with the highest frequency.
To find f0 when F1 is present in the first column, we need to look at the frequency of the class that follows the modal class. This class is called the class next to the modal class. Let's call this class CNM.
The formula to find f0 when F1 is present in the first column is:
f0 = modal class frequency - (CNM frequency / (CNM frequency + previous class frequency)) x class width
Class width is the difference between the upper boundary and lower boundary of a class.
For example, let's say the frequency distribution table is as follows:
Class |
Frequency |
---|
10-20 |
F1 |
20-30 |
15 |
30-40 |
20 |
40-50 |
10 |
The modal class is 30-40 because it has the highest frequency of 20. The class next to the modal class is 40-50.
To find f0, we use the formula:
f0 = 20 - (10 / (10 + 15)) x 10
f0 = 13.33
Therefore, the mode is 30-40 and the estimate of the mode is 13.33.