Question

Draw frequency distribution table and bar graph for the following data :

Numbers shown on the upper face of a dice thrown $50$ times :

$2,6,5,1,1,4,3,2,1,5,3,3,2,2,6,6,5,3,2,1,4,4,2,1,3,3,4,2,5,5,6,6$

$3,3,2,4,5,6,1,3,3,4,5,1,2,6,5,3,2,1.$

Answer 1

Step $1:$ Drawing frequency distribution table

Given data, $2,6,5,1,1,4,3,2,1,5,3,3,2,2,6,6,5,3,2,1,4,4,2,1,3,3,4,2,5,5,6,6$

$3,3,2,4,5,6,1,3,3,4,5,1,2,6,5,3,2,1.$

We will make frequency table by using tally marks.

Tally marks are the representation of the data in the form of vertical lines. We put one vertical line (|) for each of the four counts. A diagonal line (\) is put for the fifth count. These marks are tally marks.

Hence, distribution table for the given data given as-

Number	Tally Marks	Frequency
1		08
2		10
3		11
4		06
5		08
6		07
	Total	50

Step $2:$Drawing a bar graph:

Steps of constructing bar graph:

1. Mark the horizontal axis name as number on the faces of a dice and the vertical axis as Number of times its apperas.

2. Along the horizontal axis , choose bars of uniform (equal) width, with a uniform gap between them.

3. Choose a suitable scale to determine the heights of the bars, according to the space available for the graph.

Hence, these are the frequency table and bar graph.