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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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