Important Basic Statistics MCQs 5

The post is about Basic Statistics MCQs with Answers. There are 20 multiple-choice questions covering the topics related to measures of central tendency, measures of dispersion, and Basics of Statistics. Let us start with Basic Statistics MCQs

Online MCQs Basic Statistics with Answers

1. If $X$ is a constant then $\sum\limits_{i=1}^2 X =$ ___________

 $ X $

 $ 2X $

 $\frac{X}{n}$

 $ nX $

2. The mean of 10 numbers is 9, then the sum (total) of these numbers will be

 0.9

 90

 9

 70

3. Arithmetic mean of two positive numbers $X$ and $Y$ is

 $ \frac{2a}{2} $

 $ \frac{a-b}{2} $

 $ \frac{2}{a+b} $

 $ \frac{a+b}{2} $

 $\frac{ab}{2}$

4. The __________ is highly affected by extreme values.

 Measure of Dispersions

 Median

 Mode

 Arithmetic Mean

5. Step deviation or coding method is used for computation of the

 Arithmetic mean

 Geometric mean

 Harmonic mean

 Weighted mean

6. For a certain distribution if $\sum(x-2)=18, \sum(x-24)=0, \sum(x-28)=-24$ then arithmetic mean is

 0

 24

 28

 21

7. The sum of values divided by their number is called

 Harmonic Mean

 Mode

 None of these

 Mean

 Median

8. If $C= A – B$ then $\overline{C}$ is

 $ \overline{A}+\overline{B} $

 $ \overline{X} \times \overline{Y} $

 $ \overline{A}-\overline{B} $

 0

9. Which of the following is least if $\overline{X}=14$

 $ \sum(X-14)^2 $

 $ \sum(X-10)^2 $

 $ \sum(X-15)^2 $

 $ \sum(X-12)^2 $

10. The average of lower and upper-class limits is called

 Class mark

 Class frequency

 Class boundary

 Class limit

11. The sum of deviations will be zero if it is taken from

 Standard Deviation

 Mean

 Median

 Mode

12. The calculation of mean and variance is based on

 Extreme values only

 Small values only

 All values

 Large values only

13. A statistic which is not measurable is called:

 Parameter

 Constant

 Variable

 Attribute

14. The sample mean ($\overline{X}$) is a

 Constant

 Variable

 Statistic

 Parameter

15. The mean of a constant $b$ is

 $ \frac{b}{n} $

 Zero

 None of These

 $ b $

16. The arithmetic mean is __________ affected by extreme values

 Highly

 None of these

 Not

 Less

17. The variance is zero only if all observations are

 Different

 Variance cannot be zero

 Same

 Negative

18. The average of the first $n$ natural numbers is

 $ \frac{n+1}{2} $

 None of these

 $ \frac{n-1}{2} $

 $ \frac{n}{2} $

19. __________ is based on all observations of data

 Mode

 Median

 Mean

 None of these

20. The combined arithmetic mean is calculated as

 $ \frac{n_1+n_2}{2} $

 $ \frac{n_1 X_1 + n_2 X_2 }{n_1+n_2} $

 $ \frac{\overline{X}_1 + \overline{X}_2}{n_1 + n_2} $

 $ \frac{n_1 \overline{X}_1 + n_2 \overline{X}_2 }{n_1+n_2} $

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Basic Statistics MCQS with Answers

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• The sum of values divided by their number is called
• ———– is based on all observations of data
• The calculation of mean and variance is based on
• The arithmetic mean is ——— affected by extreme values
• The ———- is highly affected by extreme values.
• Arithmetic mean of two positive numbers $X$ and $Y$ is
• The mean of 10 numbers is 9, then the sum (total) of these numbers will be
• For a certain distribution if $\sum(x-2)=18, \sum(x-24)=0, \sum(x-28)=-24$ then arithmetic mean is
• If $C= A – B$ then $\overline{C}$ is
• The sum of deviations will be zero if it is taken from
• If $X$ is a constant then $\sum\limits_{i=1}^2 X =$ ————
• The mean of a constant $b$ is
• Which of the following is least if $\overline{X}=14$
• The average of the first $n$ natural numbers is
• The combined arithmetic mean is calculated as
• The average of lower and upper-class limits is called
• Step deviation or coding method is used for computation of the
• The sample mean ($\overline{X}$) is a
• The variance is zero only if all observations are
• A statistic which is not measurable is called:

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