Name: Interpretation of a Bar Graph
Uploaded: 2019-07-19
Duration: 3 min 38 s
Description: A bar graph organises categorical data into groups and represents these amounts by using bars of different lengths. Watch and interpret the information conve...

Question

The marks obtained by two groups of students in a test are given below:-

Class Interval	Group $A$	Group $B$
$50 - 52$	$4$	$8$
$47 - 49$	$10$	$9$
$44 - 46$	$15$	$10$
$41 - 43$	$18$	$14$
$38 - 40$	$20$	$12$
$35 - 37$	$12$	$17$
$32 - 34$	$13$	$22$
Total	$92$	$92$

Make frequency polygons for each of these groups on one graph paper.

Accepted Answer

First find the class marks of each class by making continuous class intervals.

Class Interval Mid-point Group $A$ Group $B$

$31.5 - 34.5$ $47 - 49$ $13$ $22$

$34.5 - 37.5$ $36$ $12$ $17$

$18$ $39$ $20$ $12$

$35 - 37$ $42$ $32 - 34$ $14$

$43.5 - 46.5$ $92$ $15$ $10$

$46.5 - 49.5$ $8$ $10$ $9$

$49.5 - 52.5$ $51$ $4$ $8$

Total $92$ $92$

$1$ . We will plot the mid points on the $X$ -axis and the frequencies on the $Y$ -axis. Mark the mid points on the $X$ -axis.

$2$ . Mark the points $B, C, D, E, F, G, H$ and $I I - V I I I$ using the corresponding frequency of Group- $A$ and Group- $B$ .

$92$ . Mark on the $X$ -axis the midpoint $33$ ( point $B$ and point $I I$ ) of the class $31.5 - 34.5$ for both the teams, that lies before the first class and the midpoint $51$ ( point $H$ and point $V I I I$ ) of the class $49.5 - 52.5$ for both the teams, which is after the first class. We have marked them on the $X$ -axis because their frequencies are zero.

$4$ . Join all the marked mid points sequentially.

$5$ . The figure $A B C D E F G H I$ and $I - I X$ obtained is the frequency polygon.

Important Questions on Data Handling and Analysis

Learn and Prepare for any exam you want !

The marks obtained by two groups of students in a test are given below:- Class Interval Group A Group B 50-52 4 8 47-49 10 9 44-46 15 10 41-43 18 14 38-40 20 12 35-37 12 17 32-34 13 22 Total 92 92 Make frequency polygons for each of these groups on one graph paper.

Important Questions on Data Handling and Analysis

Learn and Prepare for any exam you want !