Mode and Mean from Frequency Table
In this lesson, we will look at obtaining the mode and the mean from a frequency table.
Mode from frequency table
Example:
Find the mode of the following set of marks.
Marks |
1 |
2 |
3 |
4 |
5 |
Frequency |
6 |
7 |
7 |
5 |
3 |
Solution:
The marks 2 and 3 have the highest frequency. So, the modes are 2 and 3.
The above example also shows that a set of observations may have more than one mode.
Mean from frequency table
If the data is summarised in a frequency table, we use the following formula to find mean:

Example:
The table shows the marks obtained by a group of players in a game. Find the mean of the marks.
Marks |
0 |
1 |
2 |
3 |
Frequency |
11 |
10 |
19 |
10 |
Solution:
To calculate the mean, we first add the following values to the frequency table:
Marks |
0 |
1 |
2 |
3 |
|
Frequency |
11 |
10 |
19 |
10 |
Total = 50 |
Marks × Frequency |
0 × 11=0 |
1 × 10=10 |
2 × 19=38 |
3 × 10=30 |
Total = 78 |
Then, we calculate the mean using the formula

The following video shows how to obtain the
mean, median and mode from frequency table.
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