Question types

Bar Graph, Histogram and Frequency Polygon question types

28 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

28
Questions
4
Question groups
5
Question types
Sample Questions

Bar Graph, Histogram and Frequency Polygon questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Given below are the seats won by different political parties in the polling oucome of a state assembly elections:
Political party
$A$
$B$
$C$
$D$
$E$
$F$
Seats won
$65$
$52$
$34$
$28$
$10$
$31$
Draw a bar graph to represent the polling results.
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The following table shows the number of students participating in various games in school.
Game
Cricket
Football
Basketball
Tennis
Number of students
$27$
$36$
$18$
$12$
Draw a bar graph to represent the above data.
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The following table gives the lifetimes of $400$ neon lamps:
Lifetime $($in $hr)$ $300-400$ $400-500$ $500-600$ $600-700$ $700-800$ $800-900$ $900-1000$
Number of lamps $14$ $56$ $60$ $86$ $74$ $62$ $48$
$i.$ Represent the given information with the help of a histogram.
$ii.$ How many lamps have a lifetime of more than $700$ hours?
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The following table shows the number of scooters sold by a dealer during six consecutive years. Draw a bar graph to represent this data.
Year
$2011$
$2012$
$2013$
$2014$
$2015$
$2016$
Number of scooters sold (in thousands)
$16$
$20$
$32$
$36$
$40$
$48$
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The approximate velocities of some vehicles are given below:
Name of vehicle
Bicycle
Scooter
Car
Bus
Train
Velocity (in km/hr)
$27$
$45$
$90$
$72$
$63$
Draw a bar graph to represent the above data.
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The ages (in years) of $360$ patients treated in a hospital on a particular day are given below:
Age in years
$10-20$
$20-30$
$30-40$
$40-50$
$50-60$
$60-70$
Number of patients
$90$
$40$
$60$
$20$
$120$
$30$
Draw a histogram and a frequency polygon on the same graph to represent the above data.
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Draw a histogram and the frequency polygon from the following data:
Class interval
$20-25$
$25-30$
$30-35$
$35-40$
$40-45$
$45-50$
Frequency
$30$
$24$
$52$
$28$
$46$
$10$
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The daily wages of $50$ workers in a factory are given below:
Daily wages (in Rs.)
$340-380$
$380-420$
$420-460$
$460-500$
$500-540$
$540-580$
Number of workers
$16$
$9$
$12$
$2$
$7$
$4$
Construct a histogram to represent the above frequency distribution.
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Construct a histogram for the following frequency distribution:
Class interval
$5-12$
$13-20$
$21-28$
$29-36$
$37-44$
$45-52$
Frequency
$6$
$15$
$24$
$18$
$4$
$9$
View full solution
The heights of $75$ students in a school are given below:
Height (in cm)
$130-136$
$136-142$
$142-148$
$148-154$
$154-160$
$160-166$
Number of students
$9$
$12$
$18$
$23$
$10$
$3$
Draw a histogram to represent the above data.
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The birth rate per thousand in five countries over a pariod of time is shown below:
Country
China
India
Germany
UK
Sweden
Birth rate per thousand
$42$
$35$
$14$
$28$
$21$
Represent the above data by a bar graph.
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Given below is a table which shows the yearwise strength of a school. Represent this data by a bar graph.
Year
$2012-13$
$2013-14$
$2014-15$
$2015-16$
$2016-17$
Number of students
$800$
$975$
$1100$
$1400$
$1625$
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The air distances of four from Delhi (in km) are given below:
City
Kolkata
Mumbai
Chennai
Hyderabad
Distance from Delhi (in km)
$1340$
$1100$
$1700$
$1210$
View full solution
The following table shows the favourite sports of 250 students of a school. Represent the data by a bar graph.
Sports
Cricket
Football
Tennis
Badminton
Swimming
Number of students
$75$
$35$
$50$
$25$
$65$
View full solution

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