Introduction To Statistics MCQs With Answers

Introduction to statistics mcqs with answers for basic statistical test preparation online.

Introduction To Statistics MCQs With Answers

Arithmetic mean is __ by change of origin and scale of measurement?

A. Vary
B. Negative
C. Affected
D. Not affected

The arithmetic mean ___by 10 if 10 is added to all values?

A. Decease
B. Smaller
C. Largest
D. Increase

We must arrange the data before calculating _______?

A. Mean
B. Median
C. Mode
D. G.M

The most frequent value in data is called ____?

A. Mean
B. Mode
C. Median
D. H.M.

H.M. _____ G.M. _______ A.M?

A. <
B. ≥
C. ≤
D. >

The sum of square of deviation is least when measured from ______?

A. Arbitrary value
B. Mean
C. Mode
D. G.M.

If the smallest observation in a data is decreased, the average which is not affected is ______?

A. G.M.
B. Median
C. Mean
D. Harmonic mean

Median = Q2 = D5 = ________?

A. P25
B. P55
C. P75
D. p50

__________ deviation taken from A.M. is always equal to zero?

A. Mean
B. Sum
C. Average
D. 2.D.

Mean is relatively ____ measure?

A. Stable
B. manipulation
C. Change
D. Group

Third quartile = Q3 = _______?

A. P33
B. D3
C. Median
D. None of these

In moderately skewed distribution if _______?

A. Mode = 3 median – 2 mean
B. Mode = 2 median -3 mean
C. Median = 2 median-3 mean
D. Mean- mode

Deciles means are 1/( )?

A. 1000
B. 10
C. 100
D. 10000

If any value in the data is zero, then which of the following average vanishes ____?

A. A.M.
B. G.M.
C. H.M.
D. None of these

Group data formula for mode _______?

A. 1+ fm – f2/f1 – f2 x h
B. 1+ f1 – f2/f2 – fm x h
C. 1 + fm – f1/ (fm – f1) + (fm1 – f2) x h
D. 1+ fm1 – f2/f1 – fm x h

If any value in the data is zero, then it is not possible to have ______?

A. A.M.
B. Medain
C. Mode
D. H.M.

Coded method of calculation is only used in ______?

A. Median
B. Combined mean
C. A.M.
D. None of these

The arithmetic mean of 10,8,6,4, and 2 is ______?

A. 5
B. 15
C. 6
D. 30

Confidence interval is a measure of?

A. Accuracy
B. Precision
C. Error
D. All of above

Confidence interval should be ________?

A. Shorter
B. Wider
C. Large
D. Small

Normal distribution is a probability distribution of _____ random variable?

A. Continuous
B. Constant
C. Discrete
D. Normal

Normal distribution has ______ parameter?

A. Three
B. Two
C. Four
D. One

The quartile deviation is ____ (S.D.) is normal dist?

A. .6734
B. .7879
C. .6745
D. .4567

In normal distribution u2 = S2 and u4 =___________?

A. 3S2
B. 3S
C. 3S4
D. 4S2/x

The equation of standard normal distribution is f(z) ____?

A. 1/σ√2∏e 1/2×2
B. 1/σ√2∏e -1/2×2
C. 1/√2∏
D. 1/σ√2∏

Normal distribution has ____shaped?

A. u-shaped
B. Bell shaped
C. T-shaped
D. Normal shaped

For a normal distribution having µ = 241 and σ = 2 P (X≥235) is:_______?

A. 0.9986
B. 0.5
C. 0.475
D. 0.235

P(µ – σ≤x≤µ + σ)=_________?

A. .6826
B. .6743
C. .6745
D. .2345

The shape of normal distribution does depend upon _____ and variance?

A. x
B. S/σ2
C. u
D. 2 µ2

Normal distribution has ______?

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

100% of values lies in the limits are equal to ______?

A. 40 and 60
B. 20 and 70
C. 20 and 30
D. 20 and 80

The range of normal distribution lies between _________?

A. -∞ to +∞
B. 0 to ∞
C. -∞ to 0
D. None of these

N(µ, 2σ) means normally distribution with mean u and variance2σ then (3σ, 4) means ______?

A. 46
B. 76
C. 36
D. 47

In a standard normal distribution z = 0 corresponds to ____?

A. Mean
B. S.D.
C. M.D.
D. Q.D.

As the normal distribution is symmetrical, its mean, median and mode are _____?

A. Coincide
B. Not equal
C. Different
D. None of These

The maximum of function is at _____?

A. X = σ2
B. X = µ
C. X = µ + σ
D. X = 0

If β1 = 0 it means the distribution is ______?

A. Symmetrical
B. + vely skewed
C. -vely skewed
D. Non of these

P95 means _____?

A. The central 95% area
B. The point above above which95% area lies
C. The point above below which 95% area lies
D. Both (a) and (b) but not (c)

In normal distribution Q.D. ( quartile deviation)is equal to ______?

A. σ
B. 0.7979 σ
C. 0.6745 σ
D. None of these

The normal distribution is ______?

A. Platykurtic
B. Leptokurtic
C. Mesoukurtic
D. None of these

____ is a value of sample statistics?

A. Estimate
B. Estimator
C. Probability
D. Numerical

The Estimation and testing of hypothesis are main branches of ____?

A. Sampling
B. Probability distribution
C. Regression
D. Statistical Inference

95% confidence limits for P are ________?

A. P±2.18√p2q2/n
B. P±1.65(pq/n)
C. P±1.96 p2q2/√n
D. P±1.96√p2q2/n

The hypothesis which is being tested is called ______?

A. Composite hypothesis
B. Alternative hypothesis
C. Null hypothesis
D. Simple hypothesis

Type II error is committed when the null hypothesis is _____?

A. Rejected when it is true
B. Rejected when it is false
C. Accepted when it is true
D. Accepted when it is false

Which of the following cannot be Ho _____?

A. Q ≤ Qo
B. Q ≥ Qo
C. Q = Qo
D. Q ≠ Qo

If Ho is stated as Q = Qo< the alternate hypothesis in general stated ______?

A. Q Qo
C. Q ≠ Qo
D. None of these

The first and starting point in test Hypothesis is _____?

A. stating H1
B. stating Ho
C. L of significance
D. Test statistics

Criteria to check a point estimator to be good are _____?

A. Consistency
B. All Above
C. Unbiasedness
D. Efficiency

Consistency of an estimator can be checked by comparing ______?

A. Standard Deviation
B. Mean
C. mean Square Error
D. Variance

The t distribution are ____?

A. Symmetrical
B. None of these
C. Same as Normal Curve
D. Skewed

The Mann-Whitney U test is preferred to a t-test when ____?

A. Sample are dependent
B. The assumption of normality is not met
C. Sample sizes are small
D. Data are paired

The sign test assumes that the ______?

A. Samples are independent
B. Samples have same mean
C. Sample are dependent
D. The Wilcoxon Signed Rank test is used

To perform a Runs test for randomness the data must be ______?

A. Divided into at least two classifications
B. Divided into exactly two classifications
C. Quantitative
D. Qualitative

The Spearman Rank-Correlation test requires that the ____?

A. Data must be measured on the same scale
B. Data should be of ordinal scale at least
C. Data must be distribution at least approximately as a t-distribution
D. Data must be from two independent samples

In a Wilcoxon Rank-Sum test ______?

A. Ties within one sample may affect the decision
B. Ties always affect the decision
C. Ties never affect the decision
D. Ties between the two sample may affect the decision

When using the sign test, if two scores are tied, then _____?

A. We count them
B. We discard them
C. We depends upon the scores
D. non of these

Wilcoxon Rank-Sum test can be of ______?

A. Lower tailed
B. Upper tailed
C. Either of the above
D. None of the above

Which of the following test use Rank Sums _____?

A. Kruskal-Wallis and Wilcoxon tests
B. Runs test
C. Chi-Square and sign test
D. F test

Ratio between given year and base year is called _____ in percentage?

A. Price relative
B. Link relative
C. Retail prices
D. None of these

Weighted Index number can be classified into _____ categories?

A. Four
B. Three
C. Five
D. Two

Price in proceeding year used in the method is called _______?

A. Fixed Method
B. Chain Method
C. Aggregation Method
D. Volume

Measure the change in quantity of goods are called _______?

A. Simple 1. No.
B. Aggregative 1. No.
C. Appropriate
D. Quantity Index Number

1. Nos. is a ____ for measuring changes in a variable or a group of related variables?

A. variable
B. Region of goods
C. Device
D. Cost

Index Number is an important role in the field of Economic and ____?

A. Science
B. Education
C. Intelligence
D. Business

Qon means _________ for the given year?

A. Price
B. Commodity
C. Quantity in current
D. Quantity Index

Volume Index in Marshall is ________?

A. ∑Pn(Po + Pn)/∑Pn(Po + Pn)
B. ∑Pn(qo + qn)/∑Pn
C. ∑Pn(Po + Pn)/∑Pn(Po + Pn) x100
D. Non of these

In Chain base method, the base period is _______?

A. Fixed
B. Constant
C. Change
D. None of these

Link relative = ______?

A. Pn/pn-1 x100
B. Pn/Po x10
C. Pn/Po x100
D. None of these

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