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basic statistics MCQs

Practise focused basic statistics questions with marked answers for exam preparation and subject revision.

basic statistics Mcqs
1. Whats the largest known Prime Number?
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A. 282,589,933 ? 3

B. None of these

C. 282,589,933 ? 1

D. 282,589,933 ? 5

2. Which hypothesis tell us weather test is one tail or 2 tail?
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A. all of the above

B. simple hypothesis

C. null hypothesis

D. None of these

3. In the plural sense, statistic means____________?
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A. Meteorology

B. Science

C. Data

D. Methods

4. Which of the following statement is not true?
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A. All of these

B. SE cannot be zero

C. SE cannot be one

D. SE cannot be negative

5. The term variance introduced by ___________?
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A. Karl Pearson

B. Ronald Fisher

C. None of these

D. John Tukey

6. The data obtained very first are called:___________?
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A. Secondary data

B. Raw data

C. None of these

D. Primary data
7. If any statistical tool apply on primary data it becomes a__________?
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A. Raw data

B. None of these

C. Primary data

D. Secondary data
8. Who give the concept of standard deviation and CV?
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A. John Tukey

B. All of the above

C. Karl Pearson

D. R.A Fisher

9. Which of the following Measure of Averages is not based on all the values given in the data set?
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A. Arithmetic Mean

B. Geometric Mean

C. Median

D. Mode

E. Both C. and D.
10. The measure of dispersion is changed by a change of_____________?
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A. Scale

B. Origin

C. None

D. Algebraic Signs

11. In descriptive statistics, we study:
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A. How to describe the probability distribution

B. The description of decision making process

C. The methods for organizing, displaying, and describing data

D. None of the above

12. In uni-model distribution, if mode is less than mean_______________?
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A. Negatively Skewed

B. Positively Skewed

C. Symmetrical

D. Normal

13. The word statistics is at present used in _______________?
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A. Two ways

B. Four ways

C. Six ways

D. Three way
14. Marital status of an individual is the example of___________?
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A. Discrete variable

B. Attribute

C. Constant

D. Continuous variable

15. In descriptive statistics, we study______________?
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A. None of the above

B. The description of decision making process

C. How to describe the probability distribution

D. The methods for organizing, displaying, and describing data
16. A measure of dispersion is always ________________?
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A. Infinity

B. Negative

C. Zero

D. Positive
17. Which of these is a relative measure of dispersion_____________?
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A. Variance

B. Standard Deviation

C. None of these

D. Coefficient of Variation
18. If a and b are two constants, then Var(a+bX) is_______________?
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A. (ab)Var(X)

B. b2Var(X)

C. Var(a)Var(X)

D. bVar(X)

E. abVar(X)

19. Life of a T.V picture tube is a____________?
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A. Qualitative variable

B. Discrete variable

C. Constant

D. Continuous variable
20. The sum of the deviations about the mean is always______________?
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A. Range

B. Total Standard Deviation

C. Negative

D. Zero

E. Positive

21. The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient of variation ?
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A. 48.30%

B. 35.7%

C. 27.80%

D. 60.40%

22. The variance of 5 numbers is 10. If each number is divided by 2, then the variance of new numbers is______________?
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A. 5

B. 2.5

C. 5.5

D. 20

E. 0

23. Age of a shopkeeper is the example of___________?
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A. Quantitative data

B. Continuous data

C. Qualitative

D. Variable data

24. The sum of squared deviation is least from_________________?
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A. Standard Deviation

B. Mode

C. Median

D. Mean
25. Sum of dots when two dice are rolled is____________?
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A. a constant

B. a qualitative variable

C. a continuous variable

D. a discrete variable
26. If ?2=m4m22<3, the distribution is called______________?
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A. Mesokurtic

B. Normal

C. Leptokurtic

D. Platykurtic
27. If right tail is longer than left tail then distribution is called _________________?
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A. Positively Skewed

B. Negatively Skewed

C. All of above

D. None of these

28. If any of the value in data set is zero then it is not possible (i.e. impossiblE. to compute_______________?
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A. Geometric Mean

B. Harmonic Mean

C. Median

D. Mean

E. Mode

29. Second moment about mean is_______________?
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A. Standard Deviation

B. None of these

C. Variance

D. Coefficient of Variation

30. Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data?
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A. Probability Statistics

B. Bayesian Statistics

C. Descriptive Statistics

D. Inferential Statistics

E. Advanced Statistics

31. Another name of word population is_________?
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A. Universe

B. None of these

C. Individuals

D. Whole

32. The sum of values divided by their number is called___________?
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A. Median

B. None of these

C. Mean

D. Mode

E. Harmonic Mean

33. Which of the following Measure of averages is affected by extreme (very small or very largE. values in data set?
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A. Mode

B. Median

C. Geometric Mean

D. Harmonic Mean

E. Arithmetic Mean
34. Statistics is the backbone of_____________?
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A. Research

B. Mathematics

C. Computer

D. Economics

35. Data published by Bureau of statistics in its publications are _______________?
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A. Continuous data

B. Discrete data

C. None

D. Secondary data

36. The mean of 10 numbers is 9, then sum of these numbers will be__________________?
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A. 90

B. 9

C. 70

D. 0.9

37. For a symmetrical distribution approximately 68% of the cases are included between _________________?
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A. None of these

B. X?S and X+S

C. X?2S and X+2S

D. X?3S and X+3S

38. Arithmetic mean of two positive numbers X and Y is_________________?
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A. 2a2

B. (a+b)/2

C. 2a+b

D. ab2

E. a?b2

39. ___________ data are collected for the first time.
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A. Secondary

B. Primary

C. Research

D. Statistical

40. The most repeated (popular) value in a data set is called___________?
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A. Harmonic Mean

B. Mode

C. Geometric Mean

D. Mean

E. Median

41. The algebraic sum of deviations from mean is_____________?
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A. Zero

B. Minimum

C. Undefined

D. Maximum

42. Which of the following cannot be less than zero (negative)?
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A. Harmonic Mean

B. Median

C. Arithmetic Mean

D. Mode

E. Geometric Mean
43. In a frequency distribution the last cumulative frequency is 500. Q3 must lie in_____________?
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A. 175th item

B. 275th item

C. 150th item

D. 375th item
44. Data being used by an agency which is originally collected by them are _______ data?
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A. Primary

B. Quantitative

C. Secondary

D. Discrete

45. If a distribution has two modes then this distribution is called______________?
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A. Uni-Modal

B. Tri-Modal

C. None of these

D. Bi-Modal

E. Multi-Modal

46. You asked five of your classmates about their height. On the basis of this information, you stated that the average height of all students in your university or college is 67 inches. This is an example of ?
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A. Inferential Statistics

B. Descriptive statistics

C. Parameter

D. Population

47. A Constant can assume _______ value?
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A. Resindent

B. One

C. Four

D. More than value

48. Data must be arranged either in ascending or descending order, if some wants to compute____________?
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A. Geometric Mean

B. Median

C. Mode

D. Median

E. Harmonic Mean

49. Which of the measures given here are based on every item of the series (uses all observations)?
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A. Range

B. Standard Deviation

C. Quartile Deviation

D. All of them

50. Which one of the following measurement does not divide a set of observations into equal parts ?
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A. Standard Deviations

B. Quartiles

C. Percentiles

D. Median

E. Deciles