STATISTICS MCQS OF UGC NET COMMERCE

STATISTICS MCQS OF UGC NET COMMERCE

Certainly! Here are a few multiple-choice questions (MCQs) to test your understanding of how NTA ask such type of questions.

Q1. Who is the real giant in the development of the theory of Statistics?
(A) Sir Francis Galton
(B) Sir Charles William
(C) R.A Fisher
(D) John Maynard

Q2. Descriptive and Inferential statistics is a part of which statistics?
(A) Theoretical Statistics
(B) Applied Statistics
(C) Both A and B
(D) None of the above

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Q3. The value of mean is influenced by __ observation in the data.
(A) Highest value
(B) All observation
(C) Lowest value
(D) Mid value

Q4. Assertion: Median is not affected by extreme values.
Reason: Median is a potential measure.
Codes:

(A) Both A and R is correct and R is correct explanation of A
(B) Both A and R is correct but R is not the correct explanation of A
(C) A is true but R is false
(D) R is true but A is false

Q5. Which among the following is NOT an advantage of Inter-quartile range?
(A) Not affected by the presence of extreme values.
(B) Its value is very much affected by sampling fluctuations.
(C) Superior to range as a measure of dispersion.
(D) Useful in erratic or badly skewed distribution.

Q6. Variance tells us about the amount of while
Skewness gives the ___ of variability.
(A) Variability, Direction
(B) Direction, Variability
(C) Closeness, Relationship
(D) Distance, Direction

Q7. Identify the Statement given below is true or false. Skewness can be used for economical analysis in finance and investing.
(A) True
(B) False
(C) Partially true
(D) Can’t be determined

Q8. _ refers to a connection between two variables that appears to be causal but is not.
(A) Positive Correlation
(B) Negative Correlation
(C) No Correlation
(D) Spurious Correlation

Q9. Given below are some the type of correlation mentioned below. Identify the basis on which such classification is done?
i. Simple Correlation
ii. Partial Correlation
iii. Multiple Correlation
Codes:

(A) On the basis of direction of change
(B) On the basis of number of variance
(C) On the basis of proportion
(D) None of the above

Q10. The equation of the regression line is used to predict (or estimate) the value of the _ variable from a given value of the ___ variable.
(A) Explanatory, Response
(B) Response, Explanatory
(C) Response, Confounding
(D) None of the above

Q11. The variable you want to predict is called the _ variable. The variable you are using to predict the other variable’s value is called the _ variable.
(A) Independent, Dependent
(B) Dependent, Independent
(C) Dependent, Moderating
(D) Moderating, Intervening

Q12. Regression coefficients (bxy and byx) facilitates to calculate?
(A) Coefficient of determination
(B) Coefficient of Correlation
(C) Probable Error
(D) Both A and B

Q13. Two or more events are said to
be __ if the happening of
any one of them excludes the
happening of all others in the same
experiment.
(A) Favorable Events
(B) Mutually Exclusive Events
(C) Independent Events
(D) Complementary Events

Q14. Assertion: Hypothesis should be
very specific and limited to the piece
of research in hand.
Reason: It has to be tested.
Codes:

(A) Both A and R is correct and R is correct explanation of A
(B) Both A and R is correct but R is not the correct explanation of A
(C) A is true but R is false
(D) R is true but A is false

Q15. _ means the
composition of two or more variables
which are to be verified and,
_ means position of
these variables in specific frame of
reference.
(A) Thesis, Hypo
(B) Hypo, Thesis
(C) Relationship, time frame
(D) Interpretation, Conclusion

Q16. It is the _ hypothesis
we wish to reject and it is the
_ hypothesis we support.
(A) Null hypothesis, Directional
hypothesis
(B) Alternate hypothesis, Null
hypothesis
(C) Null hypothesis, Alternate
hypothesis
(D) Simple hypothesis, Complex
hypothesis

Q17. Which among the following is NOT
a type of Parametric Test?
i. T-test
ii. F-test
iii. Z-test
iv. H-test
v. U-test
Codes:

(A) ii, iii and iv Only
(B) iv Only
(C) iv and v Only
(D) ii, iv and v Only

Q18. _ Compare the
means of two populations and
Compare two
population variances.
(A) t-test, f-test
(B) f-test, t-test
(C) h-test, t-test
(D) u-test, h-test

Q19. Match:

1. A-1 B-2 C-4 D-3
2. A-3 B-1 C-2 D-4
3. A-2 B-1 C-4 D-3
4. A-3 B-2 C-1 D-2

Q20. Assertion: Ho and H1 are
mutually exclusive statements in the
sense that both cannot hold good
simultaneously.
Reason: Rejection of one implies the
acceptance of the other.
Codes:

(A) Both A and R is correct and R is correct explanation of A
(B) Both A and R is correct but R is not the correct explanation of A
(C) A is true but R is false
(D) R is true but A is false

Q21. Match List I with List II:

List 1.	List 2.
A. Significance Level	1. boundary of the regions of acceptance and rejection.
B. Type 1 Error	2. Also known as Rejection Region
C. Critical Region	3. Also called alpha
D. Critical Value	4. Represents a false hit

1. A-1 B-2 C-3 D-4
2. A-3 B-2 C-1 D-4
3. A-3 B-2 C-4 D-1
4. A-3 B-4 C-2 D-1

Q22. Assertion: The type I error is also
known as the false positive error.
Reason: It falsely infers the existence
of a phenomenon that does not exist.
Codes:

(A) Both A and R is correct and R is correct explanation of A
(B) Both A and R is correct but R is not the correct explanation of A
(C) A is true but R is false
(D) R is true but A is false

Q23. Match List I with List II:

List 1.	List 2. (Description)
A. Parametric Test	1. False Positive
B. Non-Parametric Test	2. Pearson Correlation Test
C. Type I Error	3. False Negative
D. Type II Error	4. Spearman Correlation test

1. A-1 B-2 C-3 D-4
2. A-3 B-4 C-2 D-1
3. A-3 B-2 C-4 D-1
4. A-2 B-4 C-3 D-1

Q24. Statement I: Hypothesis is a
tentative prediction or explanation of
the relationship between two
variables.
Statement II: It implies that there is a
systematic relationship between an
independent and moderating variable.
Codes:

(A) Statement I is correct
(B) Statement II is correct
(C) Both Statements are correct
(D) None are correct

Q25. Statement I: Possibility of error
reduced with the increase in sample
size in non-sampling error.
Statement II: Main cause of nonsampling error is deficiency and
analysis of data.
Codes:

(A) Statement I is correct Only
(B) Statement II is correct Only
(C) Both are correct
(D) None is correct

Q26. Which among the following are the
characteristics of Normal distribution.
i. Has a Bell Shape Curve and is Symmetric.
ii. The total area under the curve is 1 (or
100%).
iii. Has the same shape as Standard Normal
Distribution.
iv. It is Symmetric around the mean
Codes:

(A) i and ii Only
(B) ii, iii and iv Only
(C) i, iii and iv Only
(D) All of the above

Q27. Statement I: A finite subset of
the population, selected from it with
the objective of investigating its
properties is called a sample size.
Statement II: Number of units in the
sample is known as the sample.
Codes:
(A) Statement I is correct Only
(B) Statement II is correct Only
(C) Both are correct
(D) None is correct

Q28. Identify the type of discrete
probability distribution from the
options given below.
i. Binomial distribution
ii. Poisson distribution
iii. Normal distribution
Codes:

(A) i Only
(B) ii Only
(C) i and ii Only
(D) All of the above

Q29. Match List I with List II:

List 1.	List 2.
A. Sample Space	1. The list of all the outcomes in an experiment.
B. Possible Outcomes	2. Set of outcomes of all the trial in an experiment.
C. Probable Event	3. An event that is not a part of the experiment.
D. Impossible Event	4. An event that can be predicted.

1. A-2 B-1 C-4 D-3
2. A-3 B-2 C-4 D-1
3. A-4 B-3 C-2 D-1
4. A-2 B-4 C-3 D-1

Q30. Statement I: Statistical error
describes the difference between a
value obtained from a data collection
process and the ‘true’ value for the
population.
Statement II: The greater the error,
the more representative the data are
of the population.
Codes:

(A) Statement I is correct Only
(B) Statement II is correct Only
(C) Both are correct
(D) None is correct

Q31. Which among the following are the
assumptions on which f-test relies?
i. The population is normally distributed.
ii. Samples have been drawn randomly.
iii. Observations are independent.
iv. Ho may be one sided or two sided.
Codes:

(A) ii and iii Only
(B) i, ii and iii Only
(C) i and iv Only
(D) All are correct Only

Q32. Which among the following are advantages
of making hypothesis?
i. It creates new knowledge and enrich the stock of existing knowledge.
ii. It establishes the relationship between predictions and actual observations.
iii. It gives basis for separating relevant facts from irrelevant data information.
iv. Guide the researcher to increase his area of research and to keep him on right track.
Codes:

(A) i and ii Only
(B) i, ii and iii Only
(C) ii, iii and iv Only
(D) All of the above

Q33. Identify the correct statement in
context of discrete variable.
i. Assumes any value between the two
values.
ii. Assumes distinct or separate value.
iii. Values are obtained by counting.
iv. Classification is non-overlapping.
Codes:

(A) iii and iv Only
(B) i, ii and iii Only
(C) i, iii and iv Only
(D) All of the above

Q34. Assertion: Regression analysis
has much wider applications.
Reason: It studies linear as well as
non-linear relationship between the
variables.
Codes:

(A) Both A and R is correct and R is correct explanation of A
(B) Both A and R is correct but R is not the correct explanation of A
(C) A is true but R is false
(D) R is true but A is false

Q35. In regression analysis
independent variable is also known
as:
i. Regressor
ii. Explanator
iii. Predictor
iv. Explained
Codes:

(A) ii and iii Only
(B) i, ii and iii Only
(C) ii, iii and iv Only
(D) All of the above

Q46. Statement I: The literal or
dictionary meaning of the word
‘Regression’ is ‘stepping back or
returning to the average value’.
Statement II: It is the measure of the
average relationship between two or
more variables in terms of the original
unit of data.
Codes:

(A) Statement I Only
(B) Statement II Only
(C) Both are correct Only
(D) Both are Incorrect

Q47. Identify the incorrect statement in
context of Kurtosis.
i. The word kurtosis comes from the Greek word “Kurtos” meaning humped.
ii. Gives an idea about the shape of a frequency distribution.
iii. Indicates whether a frequency distribution is flat, normal or peaked shape.
Codes:

(A) i Only
(B) ii Only
(C) i and ii Only
(D) All are correct Only

Q48. Match List I with List II:

List 1. (Moments)	List 2. (Description)
A. First Moment	1. Kurtosis
B. Second Moment	2. Skewness
C. Third Moment	3. Mean
D. Fourth Moment	4. Variance

1. A-1 B-2 C-3 D-4
2. A-3 B-2 C-1 D-4
3. A-3 B-2 C-4 D-1
4. A-3 B-4 C-2 D-1

Q49. Which Relative measure of
dispersion based on all items?
i. Coefficient of Range
ii. Coefficient of QD
iii. Coefficient of MD
iv. Coefficient of SD & Variation
Codes:

(A) i and ii Only
(B) ii and iii Only
(C) iii and iv Only
(D) i, ii and iii Only

Q50. Statement I: Semi Inter-quartile
range- (Q3 – Q1)/2
Statement II: Coefficient of quartile
deviation- (Q3 – Q1)/(Q3 + Q1)
Codes:

(A) Statement I is correct Only
(B) Statement II is correct Only
(C) Both are correct
(D) None is correct

Q51. Given below are some of the
properties of?
i. It may not be an actual observation in the data set.
ii. It can be applied in ordinal level.
iii. cannot be manipulated algebraically.
Codes:

(A) Arithmetic Mean
(B) Median
(C) Mode
(D) Harmonic Mean

Q52. Statement I: The Kruskal-Wallis H test (sometimes also called the “one-way
ANOVA on ranks”) is a rank-based nonparametric test.
Statement II: It can be used to determine if there are statistically significant
differences between two or more groups of an independent variable on a
continuous or ordinal dependent variable.
Codes:

(A) Statement I is correct
(B) Statement II is correct
(C) Both Statements are correct
(D) None are correct

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