MCQ on Statistics | Class 10 Mathematics Chapter 13

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Welcome to MCQ Assam School. This post contains 30 MCQs (Multiple Choice Questions) on Class 10 Mathematics Chapter 13. 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.

The Chapter deals with the following topics:

Introduction to Statistics
Mean of Grouped Data
Mode of Grouped Data
Median of Grouped Data, 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.

MCQ on Statistics | Class 10 Maths Chapter 13

1. The mean is most frequently used measure of central tendency because:

A. It takes into account all the observations. B. It lies between the extremes of the data. C. It enables comparison of two or more distributions. D. All of the above.

2. If the number of students who scored marks less than 20 include those who scored marks from 0 – 10 and 10 – 20, then the cumulative frequency of the class 10 – 20 is:

A. The same as the frequency of the class 10 – 20. B. The sum of the frequencies of classes 0 – 10 and 10 – 20. C. The difference between the frequencies of classes 0 – 10 and 10 – 20. D. None of the above.

3. A survey was conducted by a group of students as a part of their environment awareness program, in which they collected the following data regarding the number of plants in 20 houses in a locality. Find the mean number of plants per house.

A. 4.5 B. 5 C. 6 D. 7

4. Consider the following distribution of daily wages of 50 workers of a factory. Daily wages (in ₹): 500 – 520, 520 -540, 540 – 560, 560 – 580, 580 -600. Number of workers: 12, 14, 8, 6, 10. Find the mean daily wages of the workers of the factory by using an appropriate method.

A. ₹540 B. ₹550 C. ₹560 D. ₹570

5. The following distribution shows the daily pocket allowance of children of a locality. The mean pocket allowance is ₹18. Find the missing frequency \( f \). Daily pocket allowance (in ₹): 11 – 13, 13 – 15, 15 – 17, 17 – 19, 19 – 21, 21 – 23, 23 – 25. Number of children: 7, 6, 9, 13, \( f \), 5, 4

A. 4 B. 5 C. 6 D. 7

6. The following table shows the ages of the patients admitted in a hospital during a year: Age (in years): 5 – 15, 15 – 25, 25 – 35, 35 – 45, 45 – 55, 55 – 65. Number of patients: 6, 11, 21, 23, 14, 5. Find the mode and the mean of the data given above.

A. Mode: 25 – 35, Mean: 35 B. Mode: 35 – 45, Mean: 35 C. Mode: 25 – 35, Mean: 40 D. Mode: 35 – 45, Mean: 40

7. If the cumulative frequency table for a distribution shows that 18 students scored marks less than 20, and 30 students scored marks less than 40, what is the frequency for the 20-40 marks class?

A. 12 B. 15 C. 18 D. 20

8. A cumulative frequency graph is also known as:

A. Ogive B. Histogram C. Bar chart D. Pie chart

9. What is the class mark of the class 10-20?

A. 15 B. 10 C. 20 D. 5

10. The mode of a data set is:

A. The average of the data set B. The most frequently occurring value C. The median of the data set D. None of the above

11. The range of a data set is defined as:

A. The difference between the highest and lowest values B. The average of the data set C. The middle value of the data set D. None of the above

12. The class interval with the highest frequency is called:

A. Class mark B. Class interval C. Modal class D. Frequency class

13. In a cumulative frequency curve, the points are plotted at:

A. The beginning of each class interval B. The midpoint of each class interval C. The upper class boundary D. The lower class boundary

14. Which of the following is not a measure of central tendency?

A. Mean B. Median C. Range D. Mode

15. The median of a data set is:

A. The average of the data set B. The middle value of the data set C. The most frequently occurring value D. None of the above

16. The formula for calculating the mean of a grouped data is:

A. \(\frac{\sum f_i}{N}\) B. \(\frac{\sum f_i x_i}{N}\) C. \(\frac{\sum x_i}{N}\) D. \(\frac{\sum x_i f_i}{N}\)

17. In a frequency distribution, the difference between the upper and lower class boundaries is called:

A. Class mark B. Class frequency C. Class width D. Class interval

18. The frequency of a class is:

A. The number of observations in that class B. The sum of all observations C. The average of observations in that class D. None of the above

19. The cumulative frequency of a class is:

A. The frequency of that class B. The sum of the frequencies of that class and all preceding classes C. The sum of the frequencies of that class and all succeeding classes D. The average of the frequencies of that class and all preceding classes

20. A histogram is:

A. A graph of the cumulative frequency distribution B. A graph of the relative frequency distribution C. A graph of the cumulative relative frequency distribution D. A graph of the frequency distribution

21. The class boundaries for the class interval 10-20 are:

A. 10 and 20 B. 9.5 and 20.5 C. 10.5 and 19.5 D. None of the above

22. The number of observations in a class interval is called:

A. Class mark B. Class frequency C. Class interval D. Class width

23. The upper class boundary of the class interval 10-20 is:

A. 10 B. 19 C. 20 D. 21

24. If the class width is 10, the class intervals are:

A. 1-10, 11-20, 21-30, … B. 0-9, 10-19, 20-29, … C. 0-10, 10-20, 20-30, … D. None of the above

25. The lower class boundary of the class interval 20-30 is:

A. 20 B. 19.5 C. 20.5 D. 21

26. The mean of a data set is calculated by:

A. Dividing the sum of the highest and lowest values by 2 B. Dividing the sum of all observations by the number of observations C. Dividing the sum of the frequencies by the number of classes D. None of the above

27. The mode of a data set is:

A. The average of the data set B. The middle value of the data set C. The most frequently occurring value D. None of the above

28. The median of a data set is:

A. The average of the data set B. The most frequently occurring value C. The middle value of the data set D. None of the above

29. The range of a data set is:

A. The difference between the highest and lowest values B. The sum of the highest and lowest values C. The average of the highest and lowest values D. None of the above

30. The formula for calculating the mean of a grouped data is:

A. \(\frac{\sum f_i}{N}\) B. \(\frac{\sum x_i}{N}\) C. \(\frac{\sum f_i x_i}{N}\) D. \(\frac{\sum x_i f_i}{N}\)

Review Your Answers Above.

MCQ on Real Numbers | Class 10 Mathematics Chapter 1
MCQ on Polynomials | Class 10 Mathematics Chapter 2
MCQ on Pair of Linear Equations in Two Variables | Class 10 Mathematics Chapter 3
MCQ on Quadratic Equations | Class 10 Mathematics Chapter 4
MCQ on Arithmetic Progressions | Class 10 Mathematics Chapter 5
MCQ on Triangles | Class 10 Mathematics Chapter 6
MCQ on Coordinate Geometry | Class 10 Mathematics Chapter 7
MCQ on Introduction to Trigonometry | Class 10 Mathematics Chapter 8
MCQ on Some Applications of Trigonometry | Class 10 Mathematics Chapter 9
MCQ on Circles | Class 10 Mathematics Chapter 10
MCQ on Areas Related to Circles | Class 10 Mathematics Chapter 11
MCQ on Surface Areas and Volumes | Class 10 Mathematics Chapter 12
MCQ on Probability | Class 10 Mathematics Chapter 14

The Bottom Line

I hope these 30 Multiple-choice questions have helped you learn more about the Class 10 Mathematics Chapter 13 (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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