Question

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

Heights(in cm) of persons living in a complex:

$160,158,165,159,160,160,158,158,160,160,159,165,158,160,159,158,158,159,160,158,158,160,$

$165,165,158,160,158,165,160,159,158,165,158,165,160,159,165,158,160,165,158,160.$

Answer 1

Step $1:$ Drawing frequency distribution table

Given data, $160,158,165,159,160,160,158,158,160,160,159,165,158,160,159,158,158,159,160,158,158,160,$

$165,165,158,160,158,165,160,159,158,165,158,165,160,159,165,158,160,165,158,160.$

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
158		14
159		06
160		13
165		09
	Total	42

Step $2:$Drawing a bar graph:

Steps of constructing bar graph:

1. Mark the horizontal axis name as heights and the vertical axis as Number of Students.

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. Here, we choose $1$ small division to represent $2$ students.