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 frequency distribution of marks obtained by $100$ students is as follows:

Marks obtained	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	Total
Number of students	$7$	$10$	$23$	$51$	$6$	$3$	$100$

Make a cumulative frequency curve using the above data.

Accepted Answer

The cumulative frequency of a class is the sum of the frequency of that class and frequencies of all the classes before it.

Marks obtained $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ Total

Number of students $7$ $10$ $23$ $51$ $6$ $3$ $100$

Based on following table let us try to plot the less than cumulative curve:-

Class Frequency Cumulative frequency

Less than $0$ $0$ $0$

Less than $10$ $7$ $7$

Less than $20$ $10$ $17 = 10 + 7$

Less than $30$ $23$ $40 = 23 + 10 + 7$

Less than $40$ $51$ $91 = 51 + 23 + 10 + 7$

Less than $50$ $6$ $97 = 51 + 23 + 10 + 7 + 6$

Less than $60$ $3$ $100 = 51 + 23 + 10 + 7 + 6 + 3$

The cumulative frequency curve is:

Marks Obtained	Number of students
less than $10$	$3$
less than $20$	$8$
less than $30$	$12$
less than $40$	$19$
less than $50$	$31$
less than $60$	$42$
less than $70$	$60$

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	$92$	$92$

The frequency distribution of marks obtained by $100$ students is as follows:

Marks obtained $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ Total

Number of students $7$ $10$ $23$ $51$ $6$ $3$ $100$

Make a cumulative frequency curve using the above data.

Important Questions on Data Handling and Analysis

Learn and Prepare for any exam you want !

The frequency distribution of marks obtained by 100 students is as follows: Marks obtained 0-10 10-20 20-30 30-40 40-50 50-60 Total Number of students 7 10 23 51 6 3 100 Make a cumulative frequency curve using the above data.

Important Questions on Data Handling and Analysis

Learn and Prepare for any exam you want !

The frequency distribution of marks obtained by $100$ students is as follows:

Marks obtained $0 - 10$ $10 - 20$ $20 - 30$ $30 - 40$ $40 - 50$ $50 - 60$ Total

Number of students $7$ $10$ $23$ $51$ $6$ $3$ $100$

Make a cumulative frequency curve using the above data.