MCQ on Statistics | Class 9 Mathematics Chapter 12

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on the Class 9 Mathematics Chapter 12. The name of the chapter is “Statistics”. So, basically, this post contains 30 MCQs on Statistics. These MCQs will help you to understand the chapter better and will also help you prepare for your exam.

MCQ on Statistics Class 9 Mathematics Chapter 12

The Chapter deals with the following topics:

Graphical Representation of Data
Bar Graphs
Histograms of uniform width, and of varying widths
Frequency polygons, etc

These MCQs can also act as a Mock Test. There are 30 MCQs. There are four options for each question. Out of the four options, only one option is correct. Choose the correct options for each question and click on the submit button to see the results. You can also, review your answers. For each right option, you will see a green check mark and for each wrong option, you will see a red cross mark. If the chosen option is wrong then a green check mark will appear near the right option. This way you will know the right answer.

Let’s begin.

30 MCQs on Statistics for Class 9 Maths Chapter 12

1. What is the primary purpose of a bar graph?

A. To display trends over time B. To compare individual categories using rectangular bars C. To show proportions of a whole D. To represent continuous data distributions

2. In a histogram, why must the area of each rectangle be proportional to the class frequency?

A. To account for varying class widths B. To ensure visual appeal C. To simplify calculations D. To match the bar graph format

3. How is the class-mark calculated for the interval 30.5-35.5?

A. (35.5 – 30.5) / 2 B. (30.5 + 35.5) / 2 C. 35.5 – 30.5 D. 30.5 × 35.5

4. In Fig. 12.1 (birth month bar graph), which month had the maximum number of student births?

A. November B. January C. August D. December

5. Why was the initial histogram for Table 12.3 (student marks) misleading?

A. It used equal widths for unequal class intervals B. It omitted the kink on the axis C. It plotted frequencies on the x-axis D. It used incorrect class marks

6. For the class interval 140-150, what is the class-mark?

A. 140 B. 145 C. 150 D. 155

7. What is added to a frequency polygon to ensure its area matches the histogram?

A. Imaginary class intervals with zero frequency B. Extra bars for cumulative data C. A secondary vertical axis D. Overlapping class intervals

8. Which graph is most suitable for comparing performance of two student sections?

A. Bar graph B. Histogram C. Frequency polygon D. Pie chart

9. In Table 12.2 (student weights), how many students weigh between 40.5-45.5 kg?

A. 6 B. 9 C. 15 D. 3

10. What does a “kink” (〰️) on the horizontal axis of a histogram indicate?

A. A break in the scale B. Missing data C. An outlier D. A cumulative frequency

11. For varying class widths in a histogram, how is the height of each bar determined?

A. Frequency × Class width B. Frequency / Class width C. Class width / Frequency D. Frequency + Class width

12. In Table 12.5 (student marks), which interval contains the maximum number of students?

A. 0-10 B. 10-20 C. 90-100 D. 40-50

13. What is the first step to construct a frequency polygon without a histogram?

A. Plot class marks on the x-axis B. Calculate midpoints of class intervals C. Add imaginary class intervals D. Draw bars proportional to frequency

14. According to Table 12.6 (cost of living index), how many weeks had an index of 160-170?

A. 5 B. 10 C. 20 D. 9

15. What adjustment is needed for a histogram with class intervals of varying widths?

A. Use frequency density (frequency/width) B. Ignore the widths and use equal bars C. Convert all widths to the same size D. Plot cumulative frequencies instead

16. In Exercise 12.1, Question 4, why is it incorrect to say “maximum leaves are 153 mm long”?

A. The class interval 145-153 includes values up to 153, not exactly 153 B. The data is measured to the nearest millimeter C. The histogram shows a different trend D. The frequency polygon contradicts this

17. In Table 12.7 (life time of lamps), how many lamps lasted more than 700 hours?

A. 74 B. 62 + 48 = 110 C. 74 + 62 + 48 = 184 D. 86 + 74 + 62 + 48 = 270

18. What is the class interval for the class-mark 175 in Table 12.7?

A. 160-170 B. 170-180 C. 180-190 D. 190-200

19. Which graphical representation is most affected by varying class widths?

A. Histogram B. Bar graph C. Frequency polygon D. Pie chart

20. What is the frequency density for the class interval 70-100 in Table 12.4?

A. 8/30 = 0.27 B. 8 × 30 = 240 C. 30/8 = 3.75 D. 8 + 30 = 38

21. Why are frequency polygons considered more flexible than histograms?

A. They can overlay multiple datasets easily B. They ignore class widths C. They use bars instead of lines D. They require fewer calculations

22. In the political party seats bar graph (Exercise 12.1, Q3), which party won the most seats?

A. Party A B. Party B C. Party C D. Party F

23. Which type of data is best represented by a histogram?

A. Continuous B. Categorical C. Ordinal D. Binary

24. If a class interval’s width is doubled, how should its frequency be adjusted in a histogram?

A. Halved B. Doubled C. Unchanged D. Squared

25. What is plotted on the x-axis of a frequency polygon?

A. Class marks B. Frequencies C. Class widths D. Cumulative frequencies

26. In Table 12.6 (cost of living index), what is the midpoint for the class 170-180?

A. 170 B. 175 C. 180 D. 185

27. Which graph would you use to show the distribution of ages in a park survey?

A. Bar graph B. Histogram C. Frequency polygon D. Pie chart

28. For the class interval 0-20 with frequency 7 (Table 12.4), what is the adjusted height if the minimum class width is 10?

A. 7/20 × 10 = 3.5 B. 7 × 20 = 140 C. 20/7 ≈ 2.86 D. 7 + 20 = 27

29. What role do midpoints play in frequency polygons?

A. They represent the center of each class interval B. They indicate cumulative frequencies C. They define class boundaries D. They replace class widths

30. What is a key advantage of frequency polygons over histograms?

A. They can compare multiple distributions simultaneously B. They are easier to draw C. They require no class intervals D. They work only for small datasets

Review Your Answers Above.

MCQ on Number Systems | Class 9 Mathematics Chapter 1
MCQ on Polynomials | Class 9 Mathematics Chapter 2
MCQ on Coordinate Geometry | Class 9 Mathematics Chapter 3
MCQ on Linear Equations in Two Variables | Class 9 Mathematics Chapter 4
MCQ on Introduction to Euclid’s Geometry | Class 9 Mathematics Chapter 5
MCQ on Lines and Angles | Class 9 Mathematics Chapter 6
MCQ on Triangles | Class 9 Mathematics Chapter 7
MCQ on Quadrilaterals | Class 9 Mathematics Chapter 8
MCQ on Circles | Class 9 Mathematics Chapter 9
MCQ on Heron’s Formula | Class 9 Mathematics Chapter 10
MCQ on Surface Areas and Volumes | Class 9 Mathematics Chapter 11

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about Class 9 Mathematics Chapter 12 (Statistics) in detail. You can retake the test anytime you want by refreshing the page and review your results.

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Abdur Rohman

Abdur Rohman is an Electrical Engineer from Charaideo, Assam, who wears multiple hats as a part-time teacher, blogger, entrepreneur, and digital marketer. Passionate about education, he founded The Assam School blog to provide free, comprehensive textbook solutions, MCQs (Multiple Choice Questions), and other academic content for students from Class V to XII.

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