MCQs Introductory Statistics 3

The post is about MCQs Introductory Statistics. There are 25 multiple-choice questions covering topics related to the measure of dispersions, measure of central tendency, and mean deviation. Let us start with the MCQs introductory statistics quiz with answers.

Online MCQs about Basic Statistics with Answers

1. Variance is always calculated from

 
 
 
 
 

2. Which of these is a relative measure of dispersion

 
 
 
 

3. If $X$ and $Y$ are independent then $SD(X-Y)$ is

 
 
 
 

4. The measure of Dispersion can never be

 
 
 
 

5. The sum of squares of deviation is least if measured from

 
 
 
 

6. The range of the values -5, -8, -10, 0, 6, 10 is

 
 
 
 

7. The sum of squared deviations of a set of $n$ values from their mean is

 
 
 
 

8. For the symmetrical distribution, approximately 68% of the cases are included between

 
 
 
 

9. Mean Deviation, Variance, and Standard Deviation of the values 4, 4, 4, 4, 4, 4 is

 
 
 
 
 

10. The measure of dispersion is changed by a change of

 
 
 
 

11. If $a$ and $b$ are two constants, then $Var(a + bX)\,$ is

 
 
 
 
 

12. The percentage of values lies between $\overline{X}\pm 2 SD\,$ is

 
 
 
 
 

13. The standard deviation is always _________ than the mean deviation

 
 
 
 

14. A measure of dispersion is always

 
 
 
 

15. Standard deviation is calculated from the Harmonic Mean (HM)

 
 
 
 

16. If $Y=-8X-5$ and SD of $X$ is 3, then SD of $Y$ is

 
 
 
 
 

17. The mean deviation of the values, 18, 12, and 15 is

 
 
 
 

18. The variance of a constant is

 
 
 
 

19. $Var(2X+3)\,$ is

 
 
 
 

20. Suppose for 40 observations, the variance is 50. If all the observations are increased by 20, the variance of these increased observations will be

 
 
 
 

21. Variance remains unchanged by the change of

 
 
 
 

22. If the standard deviation of the values 2, 4, 6, and 8 is 2.58, then the standard deviation of the values 4, 6, 8, and 10 is

 
 
 
 
 

23. If all values are the same then the measure of dispersion will be

 
 
 
 
 

24. The variance of 5 numbers is 10. If each number is divided by 2, then the variance of new numbers is

 
 
 
 
 

25. The lowest value of variance can be

 
 
 
 
 

MCQs Introductory Statistics with Answers

MCQs Introductory Statistics with Answers
  • A measure of dispersion is always
  • Which of these is a relative measure of dispersion
  • The measure of spread/dispersion is changed by a change of
  • Mean Deviation, Variance, and Standard Deviation of the values 4, 4, 4, 4, 4, 4 is
  • The mean deviation of the values, 18, 12, and 15 is
  • The sum of squares of deviation is least if measured from
  • The sum of squared deviations of a set of $n$ values from their mean is
  • Variance is always calculated from
  • The lowest value of variance can be
  • The variance of a constant is
  • Variance remains unchanged by the change of
  • $Var(2X+3)\,$ is
  • If $a$ and $b$ are two constants, then $Var(a + bX)\,$ is
  • Suppose for 40 observations, the variance is 50. If all the observations are increased by 20, the variance of these increased observations will be
  • Standard deviation is calculated from the Harmonic Mean (HM)
  • The variance of 5 numbers is 10. If each number is divided by 2, then the variance of new numbers is
  • If $X$ and $Y$ are independent then $SD(X-Y)$ is
  • If $Y=-8X-5$ and SD of $X$ is 3, then SD of $Y$ is
  • The standard deviation is always ———– than the mean deviation
  • If the standard deviation of the values 2, 4, 6, and 8 is 2.58, then the standard deviation of the values 4, 6, 8, and 10 is
  • For the symmetrical distribution, approximately 68% of the cases are included between
  • The percentage of values lies between $\overline{X}\pm 2 SD\,$ is
  • The measure of Dispersion can never be
  • If all values are the same then the measure of dispersion will be
  • The range of the values -5, -8, -10, 0, 6, 10 is
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2 thoughts on “MCQs Introductory Statistics 3”

    • It becomes very difficult to identify that about which question you are asking about. There is seven MCQs Test for Basic Statistics and for online test most of the questions are randomly generated. However, for I traced option having 2.33 from the text MCQs, and found that answer is correct.
      Perhaps the question is related to the standard deviation of 2, 4, 6, and 8. And the standard deviation of 4, 6, 8, and 10.
      If this is not the MCQ you are asking about then it is better to mention the test number and question rather just mentioning the 1st question.

      Reply

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