Mode and Mean from Frequency Table



In this lesson, we will look at how to obtain the mode and the mean from a discrete frequency table and from a grouped frequency table.

Related Topics:
Median from the Frequency Table, Other Statistics Lessons

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 summarized 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.

This video shows how to find the mean for discrete data and continuous (grouped) data.





How to calculate the modal average and mean average from a discrete frequency table.



This video shows how to calculate the estimated mean from a grouped frequency table.





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