Class 10 Maths Chapter 6 Basic Statistics MCQs

These Class 10 Maths Chapter 6 Basic Statistics MCQs are based on the FBISE syllabus. This chapter includes mean, variance, and standard deviation. Students can practice these MCQs to improve their understanding of statistical concepts and prepare for exams. Each question includes the correct answer. ← Go to Chapter 5 Go to Chapter 7 →

1. Statistics is the science of:

A) Numbers only B) Collecting and analyzing data C) Geometry D) Algebra

2. Data collected by a person himself is called:

A) Primary data B) Secondary data C) Grouped data D) Discrete data

3. Data collected from a source already available is called:

A) Primary data B) Secondary data C) Continuous data D) Raw data

4. The number of times a value occurs is called:

A) Class interval B) Mean C) Frequency D) Mode

5. The sum of all frequencies is called:

A) Mean B) Mode C) Median D) Total frequency

6. Arithmetic mean is defined as:

A) Sum of observations divided by number of observations B) Middle value C) Most frequent value D) Difference of values

7. Median is the:

A) Average value B) Middle value C) Most repeated value D) Smallest value

8. Mode is the value which:

A) Lies in the middle B) Is smallest C) Occurs most frequently D) Is largest

9. Ungrouped data means:

A) Raw data B) Organized data C) Grouped data D) Classified data

10. Grouped data is arranged in:

A) Numbers only B) Words C) Graphs D) Classes

11. Class interval is:

A) Frequency B) Difference between upper and lower limit C) Mean D) Mode

12. The midpoint of a class interval is called:

A) Median B) Mode C) Class mark D) Frequency

13. Formula of class mark is:

A) (Upper + Lower)/2 B) Upper – Lower C) Upper × Lower D) Upper ÷ Lower

14. Cumulative frequency is:

A) Individual frequency B) Class interval C) Mean D) Running total of frequencies

15. If data is arranged in ascending order, median is found by:

A) First value B) Middle value C) Last value D) Sum

16. If the number of observations is even, median is:

A) First value B) Last value C) Average of two middle values D) Sum of all values

17. Mean of 2, 4, 6, 8 is:

A) 5 B) 4 C) 6 D) 8

18. Mode of 1, 2, 2, 3, 4 is:

A) 1 B) 2 C) 3 D) 4

19. Median of 3, 5, 7, 9, 11 is:

A) 5 B) 7 C) 9 D) 8

20. Range is defined as:

A) Highest value – Lowest value B) Sum of values C) Average D) Frequency

21. The mean of first 10 natural numbers is:

A) 10 B) 6 C) 5.5 D) 5

22. If all observations are equal, then mean =

A) 0 B) That value C) Undefined D) Infinite

23. Class width is:

A) Frequency B) Mean C) Mode D) Upper limit – Lower limit

24. If class interval is 10–20, class mark is:

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

25. Total frequency is denoted by:

A) f B) x C) Σf D) fx

26. Mean for grouped data is calculated using:

A) Σf B) Σfx / Σf C) Σx D) fx

27. In grouped data, x represents:

A) Frequency B) Median C) Mode D) Class mark

28. If Σfx = 200 and Σf = 20, mean is:

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

29. Median class is the class where:

A) Frequency is highest B) Frequency is lowest C) Cumulative frequency just exceeds N/2 D) Mean lies

30. The mode in grouped data is found using:

A) Lowest frequency B) Highest frequency C) Mean D) Median

31. If data is not grouped, it is called:

A) Continuous data B) Classified data C) Tabulated data D) Raw data

32. The difference between highest and lowest value is:

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

33. If frequency is zero, it means:

A) Value is maximum B) Value is minimum C) Value does not occur D) Value is repeated

34. Which measure is not affected by extreme values?

A) Mean B) Median C) Range D) Sum

35. The sum of deviations from mean is always:

A) Zero B) Positive C) Negative D) Infinite

36. Which measure shows most frequent value?

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

37. The central value of ordered data is:

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

38. Mean is also called:

A) Mode B) Median C) Average D) Range

39. In Σfx, f stands for:

A) Frequency B) Function C) Formula D) Fraction

40. Which is a measure of dispersion?

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

41. If all values increase by same number, mean will:

A) Increase by same number B) Decrease C) Remain same D) Become zero

42. If frequency increases, total frequency:

A) Decreases B) Remains same C) Increases D) Becomes zero

43. If Σf = 50, total observations are:

A) 25 B) 50 C) 100 D) 75

44. Class intervals must be:

A) Unequal B) Negative C) Random D) Continuous

45. Median divides data into:

A) Two equal parts B) Three parts C) Four parts D) Five parts

46. If values are repeated equally, data is:

A) Skewed B) Unequal C) Uniform D) Random

47. If mean = median = mode, distribution is:

A) Skewed B) Symmetrical C) Unequal D) Irregular

48. Which is not a measure of central tendency?

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

49. In frequency table, first column shows:

A) Class intervals B) Frequencies C) Mean D) Mode

50. Statistics helps in:

A) Drawing only B) Writing only C) Decision making D) Playing games

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