Histograms

Author:M L Aggarwal

9th CBSE

IMPORTANT

Important Questions on Histograms

HARD

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 1

Draw a histogram to represent the following grouped frequency distribution:

Age (in years)	$20 - 24$	$25 - 29$	$30 - 34$	$35 - 39$	$40 - 44$	$45 - 49$	$50 - 54$
Number of teachers	$10$	$28$	$32$	$48$	$50$	$35$	$12$

HARD

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 2

$100$ surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters	$1 - 4$	$4 - 6$	$6 - 8$	$8 - 12$	$12 - 20$
Number of surnames	$6$	$30$	$44$	$16$	$4$

Draw a histogram to depict the given information. Write the class interval in which the maximum number of surnames lie.

HARD

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 3

$100$ surnames were randomly picked up from a local telephone directory and a frequency distribution of the number of letters in the English alphabet in the surnames was found as follows:

Number of letters	$1 - 4$	$4 - 6$	$6 - 8$	$8 - 12$	$12 - 20$
Number of surnames	$6$	$30$	$44$	$16$	$4$

Draw a histogram to depict the given information.

MEDIUM

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 4

Draw a histogram to represent the following data:

Marks obtained	$0 - 10$	$10 - 20$	$20 - 30$	$30 - 40$	$40 - 50$	$50 - 60$
Number of students	$4$	$10$	$6$	$8$	$5$	$9$

EASY

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 5

The frequency distribution has been represented graphically (shown in the adjoining figure). Do you think this representation is correct? Why?

Marks	Number of students
$0 - 20$	$10$
$20 - 40$	$15$
$40 - 60$	$20$
$60 - 100$	$25$

EASY

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 6

In the adjoining figure, there is a histogram depicting daily wages of workers in a factory. Construct the frequency distribution table.

Question Image

HARD

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 7

The frequency is the frequency distribution of total marks obtained by the students of different sections of class VIII

Marks	$100 - 150$	$150 - 200$	$200 - 300$	$300 - 500$	$500 - 800$
Number of students	$60$	$100$	$100$	$80$	$180$

Draw histogram for the above distribution

HARD

IMPORTANT

CBSE Syllabus Standard Mathematics for Class IX>Statistics>Histograms> Q 8

Draw a histogram and frequency polygon for the following data

Class marks	$12.5$	$17.5$	$22.5$	$27.5$	$32.5$	$37.5$
Frequency	$7$	$12$	$20$	$28$	$8$	$11$

Histograms

Important Questions on Histograms

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