1. The cumulative frequency of a class is
Answer: B. the sum of the frequencies of that class and all earlier classes
Mathematics Class 10 Unit 12: Basic Statistics MCQs
51 multiple choice questions with the correct answer for each. Tap an option to check yourself, or switch on "Show all answers". This is page 1 of 2.
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2. The graph of a cumulative frequency distribution is called an
Answer: D. ogive
3. The last cumulative frequency in a cumulative frequency table equals
Answer: A. the total frequency
4. An ogive is plotted by taking
Answer: C. upper class boundaries against cumulative frequencies
5. The median of a grouped data set is read from the ogive at the position
Answer: B. N/2
6. The first quartile Q₁ is read from the ogive at the position
Answer: C. N/4
7. The third quartile Q₃ is read from the ogive at the position
Answer: A. 3N/4
8. Quartiles divide a data set into
Answer: D. four equal parts
9. Deciles divide a data set into
Answer: A. ten equal parts
10. Percentiles divide a data set into
Answer: D. hundred equal parts
11. The fifth decile D₅ is equal to the
Answer: B. median
12. The 50th percentile P₅₀ is equal to the
Answer: C. median
13. The 25th percentile P₂₅ is equal to the
Answer: D. first quartile
14. The inter-quartile range (IQR) is
Answer: A. Q₃ − Q₁
15. If Q₁ = 12 and Q₃ = 30, then the inter-quartile range is
Answer: C. 18
16. If Q₁ = 12 and Q₃ = 30, then the semi-interquartile range is
Answer: B. 9
17. A box-and-whisker plot is drawn using the
Answer: C. five-number summary
18. The five-number summary consists of
Answer: A. minimum, Q₁, median, Q₃, maximum
19. The range of the data 5, 8, 12, 20 is
Answer: B. 15
20. The range of a data set is
Answer: D. largest value − smallest value
21. If the variance of a data set is 25, its standard deviation is
Answer: C. 5
22. The standard deviation is the
Answer: A. positive square root of the variance
23. The variance of grouped data is given by
Answer: B. Σf(x − x̄)² / Σf
24. The mean of the data 2, 4, 4, 4, 5, 5, 7, 9 is
Answer: D. 5
25. The standard deviation of the data 2, 4, 4, 4, 5, 5, 7, 9 is
Answer: B. 2
26. A larger standard deviation indicates that the data are
Answer: A. more spread out
27. When comparing two data sets, the set with the smaller standard deviation is
Answer: C. more consistent
28. A scatter diagram is used to show
Answer: D. the relationship between two variables
29. If both variables increase together on a scatter diagram, the correlation is
Answer: A. positive
30. If one variable decreases as the other increases, the correlation is
Answer: C. negative
31. If the points of a scatter diagram are scattered randomly, there is
Answer: B. no correlation
32. The line of best fit on a scatter diagram
Answer: D. passes as close as possible to all the points
33. The height and weight of students are most likely to show
Answer: C. positive correlation
34. The sample space when a fair coin is tossed once is
Answer: D. {H, T}
35. When two coins are tossed together, the number of outcomes in the sample space is
Answer: A. 4
36. When three coins are tossed together, the number of outcomes in the sample space is
Answer: B. 8
37. The probability of getting an even number on a fair die is
Answer: A. 1/2
38. The probability of getting a number greater than 4 on a fair die is
Answer: C. 1/3
39. The probability of an impossible event is
Answer: D. 0
40. The probability of a sure event is
Answer: B. 1
41. The probability of any event always lies between
Answer: D. 0 and 1
42. If P(A) = 0.4, then P(not A) equals
Answer: C. 0.6
43. Two events A and B that cannot occur together are called
Answer: A. mutually exclusive events
44. For mutually exclusive events A and B, P(A or B) equals
Answer: B. P(A) + P(B)
45. If A and B are mutually exclusive, P(A) = 0.3 and P(B) = 0.5, then P(A or B) is
Answer: C. 0.8
46. For independent events A and B, P(A and B) equals
Answer: D. P(A) × P(B)
47. The probability of getting two heads when two fair coins are tossed is
Answer: B. 1/4
48. The probability that the sum of two numbers on two fair dice is 7 is
Answer: A. 1/6
49. Drawing two cards one after the other without replacement gives
Answer: B. dependent events
50. A bag has 3 red and 2 blue balls. Two balls are drawn without replacement. The probability that both are red is
Answer: C. 3/10
About Mathematics Class 10 Unit 12 MCQs (Federal Board)
These 51 Mathematics MCQs cover Class 10 Unit 12: Basic Statistics of the Federal Board (FBISE) SSC-II (Class 10) syllabus. They are SLO-based MCQs as per the new pattern for FBISE exams. Each question has four options and the correct answer is shown, so you can practise for the annual examination and find the topics you still need to revise. The questions are split over 2 pages of 50. Download the Basic Statistics MCQs as a PDF using the button at the top of this page.