# FORMATION OF FREQUENCY TABLE FOR UNGROUPED DATA

## About "Formation of frequency table for ungrouped data"

Formation of frequency table for ungrouped data :

Here we are going to see how to create a frequency table for ungrouped data.

Advantages of creating a frequency table :

By creating a frequency table, we may easily find out which data is more obvious.

To create frequency table, we use three columns.

In the 1st column, we have to write the given numbers.

In the 2nd column, we have to write "tally marks"

In the 3rd column, we have to write frequency.

Definition of tally marks :

‘|’ is called a ‘tally mark’. It is difficult to count if there are more number of tally marks. Therefore to make it easier to count, we change it as follows.

The examples given below will illustrate the above concept.

Example 1 :

Consider the following data:

15, 17, 17, 20, 15, 18, 16, 25, 16, 15, 16, 18, 20, 28, 30, 27, 18, 18, 20, 25, 16, 16, 20, 28, 15, 18, 20, 20, 20, 25.

Form a frequency table.

Solution :

 Number (x)151617182025272830 Tally marks||||卌||卌卌 |||||||||Total Frequency452573121------30-----

Example 2 :

The marks obtained by 50 students in a Mathematics test with maximum marks of 100 are given as follows:

43, 88, 25, 93, 68, 81, 29, 41, 45, 87, 34, 50, 61, 75, 51, 96, 20, 13, 18, 35, 25, 77, 62, 98, 47, 36, 15, 40, 49, 25, 39, 60, 37, 50, 19, 86, 42, 29, 32, 61, 45, 68, 41, 87, 61, 44, 67, 30, 54, 28.

Prepare a frequency table for the above data using class interval.

Solution :

Total number of values  =  50

Range = Highest value  -  Lowest value

=  98 – 8  =  90

Let us divide the given data into 10 classes.

Length of the Class interval = Range / Number of class interval

=  90/10

=  9

The frequency table of the marks obtained by 50 students in a mathematics test is as follows:

 Class interval 0 - 1010 - 2020 - 3030 - 4040 - 5050 - 6060 - 7070 - 8080 - 9090 - 100 Tally marks||||||卌 |卌 ||卌 ||||||||卌 |||||卌|||Total Frequency2467948253------50-----

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