Draw a histogram to represent the following data set.
Marks $0 - 10$ $10 - 20$ $20 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 90$ $90 - 100$
No. of students $4$ $6$ $14$ $16$ $14$ $8$ $16$ $5$

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Solution

The minimum of the class widths of the data set is $10$ . So, we draw rectangles with class intervals as bases and the lengths of the rectangles given by
Length of Rectangle $= \frac{F r e q u e n c y}{C l a s s w i d t h} \times 10$ .
Thus, the histogram can be drawn as follows.
Marks $0 - 10$ $10 - 20$ $20 - 40$ $40 - 50$ $50 - 60$ $60 - 70$ $70 - 90$ $90 - 100$
No. of students $4$ $6$ $14$ $16$ $14$ $8$ $16$ $5$
Class width $10$ $10$ $20$ $10$ $10$ $10$ $20$ $10$
Length of the Rectangle $\frac{4}{10} \times 10 = 4$ $\frac{6}{10} \times 10 = 6$ $\frac{14}{20} \times 10 = 7$ $\frac{16}{10} \times 10 = 16$ $\frac{14}{10} \times 10 = 14$ $\frac{8}{10} \times 10 = 8$ $\frac{16}{20} \times 10 = 8$ $\frac{5}{10} \times 10 = 5$

Suggest Corrections

Marks	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$	$90 - 100$
No. of Students	$12$	$22$	$35$	$40$	$60$	$52$	$40$	$30$	$5$

Marks	No of Students
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100	4 9 14 25 18 6 2 1 1 0

Marks	$0 - 10$	$10 - 20$	$20 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 90$	$90 - 100$
No. of students	$4$	$6$	$14$	$16$	$14$	$8$	$16$	$5$

Class interval	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$	$60 - 70$	$70 - 80$	$80 - 90$
Frequency	$4$	$6$	$8$	$10$	$12$	$14$	$7$	$5$