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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

MarkTallyFrequency
2│││3
3│││3
4││││6
5││││5
61
7││││4
8││2
91
10││││5

Total30

Note: Take note that in tally  ││││ means 5

Example:

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

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

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

Solution:

Frequency Table

MarkTallyFrequency
1
││
2
2
││││
5
3││││││││9
4
││││
6
5
│││││││
8
6││││4
7│││3
8│││3

Total40

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 

MarkTallyFrequency
75
││││
5
80
││││││││
9
811
84│││3
85││2
90│││3
95││2

Total25

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.

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