Lesson 1, Topic 2
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# Frequency Table

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The frequency table is usually made up of three columns.

First Column: The first column contains each item or each of the events, given in raw data. These items are usually arranged in order of magnitude starting with the smallest.

Second Column: The second column contains the tally charts which represent the number of times a particular item or events takes place.

Third Column: The third column contains the frequency of the item or event. The frequency is the number of times each particular value occurs in a data.

Example of Frequency Table

Note: Take note that in tallyÂ  â”‚â”‚â”‚â”‚ means 5

### Example:

The following figures show the number of scores of 40 pupils in a mathematics test:

5Â  Â  5Â  Â  4 Â  Â  3Â  Â  2 Â  Â  2Â  Â  3Â  Â  8Â  Â  3Â  Â  5Â  Â  3Â  Â  4Â  Â  2Â  Â  Â 1
5Â  Â  4Â  Â  2Â  Â  1Â  Â  3Â  Â  2 Â  Â  4Â  Â  5Â  Â  3Â  Â  8Â  Â  7Â  Â  6Â  Â  5Â  Â  4
5Â  Â  7Â  Â  6Â  Â  3Â  Â  8Â  Â  6Â  Â  3Â  Â  5Â  Â  7Â  Â  5Â  Â  4Â  Â  3

a) Use a tally mark to prepare a frequency table for this data.

Solution:

Frequency Table

### Example:

In an English test, the following marks were obtained by a set of students:

85, 75, 95, 80, 80, 75, 90, 84, 95,
84, 85, 80, 80, 75, 80, 75, 80, 84,
81, 80, 75, 90, 80.

i) Use a tally mark to prepare a frequency table for this data.
ii) How many students took the test?
iii) Which mark had the highest frequency?

Solution:

i) Frequency Table

ii) The total frequency shows the total number of students which is 25.

iii) From the frequency table, the mark with the highest frequency is 80.