Question

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

Ages(in years) of students in a class:

$14,13,12,13,14,15,13,14,16,15,14,13,12,12,12,13,13,13,13,15,14,14,13,13,12,12,12,15,14,12,12,13,13,14,12,16,$

$16,13,13,12,14,14$

Answer 1

Step $1:$ Drawing frequency distribution table

Given data, $14,13,12,13,14,15,13,14,16,15,14,13,12,12,12,13,13,13,13,15,14,14,13,13,12,12,12,15,14,12,12,13,13,14,12,16,$$16,13,13,12,14,14$

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
12		11
13		16
14		11

15		04
16		03
	Total	45

Step $2:$Drawing a bar graph:

Steps of constructing bar graph:

1. Mark the horizontal axis name as marks scored 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.

Hence, these are the frequency table and bar graph.