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Class 8 Bar Graphs and Histograms — practice questions with answers

Data Handling · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. In a histogram, the bars are drawn for data grouped into what?
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Answer: A) Class intervals
A histogram represents grouped (continuous) data, so each bar stands for a class interval.
2. The upper class limit of the interval 50-60 is:
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Answer: C) 60
The upper class limit is the larger value of the interval, which is 60.
3. Continuous class intervals like 0-10, 10-20 use the 'exclusive' method. In which class is the value 10 counted?
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Answer: A) 10-20
In the exclusive method, the upper limit is not included; so 10 belongs to 10-20, not 0-10.
4. A histogram shows the number of hours 60 workers spent on a task, grouped as 0-2, 2-4, 4-6, 6-8 with frequencies 9, 21, 18, 12.
The factory wants the percentage of workers who took less than 4 hours. Find this percentage.
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Answer: C) 50
Less than 4 hours: 9 + 21 = 30 of 60. Percentage = %.
5. A histogram of the number of mangoes per tree in an orchard of 36 trees uses classes 20-30, 30-40, 40-50, 50-60.
Frequencies are 6, 10, 14, 6. Estimate the total number of mangoes using the class mark of each class as the typical value per tree.
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Answer: C) 1450
Class marks: 25, 35, 45, 55. Total = 6x25 + 10x35 + 14x45 + 6x55 = 150 + 350 + 630 + 330 = 1450 mangoes.
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