statistics mcqs(1)

8/10/2019 Statistics MCQs(1)

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Question No 1

Subject Statistics

Topic Survey sampling and sampling distribution

Sub-Topic SamplingQuestionStatement

One of the difference between a population parameter and a sample statisticis that::

PossibleChoices

A A population parameter changes each time you try tomeasure it, but a sample statistic remains fixed acrosssamples.

B A population parameter is only based on conceptualmeasuress, but a sample statistic is based on a combinationof real and conceptual measuress.

C A sample stat is t ic changes each t ime you try tomeasure it, but a pop ulation parameter remains f ixed

D The true value of a sample statistic can never be known butthe true value of a population parameter can be known.

E

Correct Choice A B C D EEducationalLevel

EntryLevel

Under Graduate (Candidates having 12/14 Years ofEducation)

Exit Level Post Graduate (Candidates having 16 Years ofEducation)

MS/ M-Phil (Candidates having 18 Years of Education)

DifficultyIndex

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Time Index(Seconds)

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QuestionType

Logical Practical/ Numerical Conceptual/ Theoretical

Note: For Reviewer only: (Please fill in the following information onevery page)

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2/100

Question No 2

Subject Statistics



A magazine made a survey in its monthly issue and askedreaders to fill a form and send it bock to publisher. Over 1500readers did so. This type of sample is called

PossibleChoices

A A stratified sample..

B A cluster sample

C A simple random sample.

D a self-selected samp le..

ECorrect Choice A B C D EEducationalLevel

EntryLevel



MS/ M-Phil (Candidates having 18 Years of Education)DifficultyIndex


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3/100

Question No 3

Subject Statistics

Topic Survey sampling and sampling distributionSub-Topic Sampling

QuestionStatement

Which of the following would be most likely to produce selectionbias in a survey about a political party at a city.

PossibleChoices

A Using a random sample of voters at a city toestimate the proportion of people who areworker of same party

B Conducting interviews by telephone instead of inperson.

C Only receiving responses from half of the people inthe sample.

D Using questions with biased wording.


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Question No 4

Subject Statistics


4/100



Which variable is not categorical?:

PossibleChoices

A Marital status of a person.

B Age of a person.

C Choice on a test item (true or false).

D Gender of a person

E

Correct Choice A B C D E

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Question No 5

Subject Statistics


5/100

Topic Statistical inference

Sub-Topic Testing of HypothesisQuestionStatement

A agency conducted a survey of 100 doctors on the questionAre you willing to serve in rural area? The conservative

margin of error associated with the 95% confidence interval forthe percent who say 'yes' is

PossibleChoices

A 20%

B 10%

C 5%

D 2.5 %

ECorrect Choice A B C D E

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Time Index(Seconds)

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QuestionType


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Question No 6

Subject Statistics


6/100

Topic Measures of dispersion

Sub-Topic SkewnessQuestionStatement

Which one of the following statistics is unaffected by outliers?

PossibleChoices

A MeanB Standard deviation

C Range

D Inter quarti le range


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Question No 7

Subject Statistics


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Topic Measures of Central Tendency

Sub-Topic MedianQuestionStatement

A list of 5 numbers is 70, 64, 80, 74, 92. What is the median for this

list?

PossibleChoices

A 70B 64

C 80

D 74


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Question No 8

Subject Statistics


Sub-Topic medianQuestionStatement

Which would indicate that a dataset is not bell-shaped?:

PossibleChoices

A The range is larger than the interquartile range.

B The range is equal to 5 standard deviations

C There are no outliers.

D The mean is much smal ler than the median.


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Question No 9

Subject Statistics

Topic Measures Of Statistical Data

Sub-Topic CorrelationQuestionStatement

The value of a correlation in variables X and Y is reported to ber = 0.5. Which of the following statements is correct:

PossibleChoices

A The X-variable explains 50% of the variability inthe Y-variable

B The X-variable explains 50% of the variability inthe Y-variable

C The X-variable explains 25% of th e variabi l i ty inthe Y-variable.

D The X-variable explains 25% of the variability inthe Y-variable


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Question No 10

Subject Statistics


Sub-Topic CorrelationQuestionStatement

Effect of an outlier on the value of a coefficient of correlation isthat:

PossibleChoices

A An outlier will always increase a correlationcoefficient.

B An outlier will have no effect on a correlationcoefficient.

C An out l ier migh t ei ther decrease or in crease acorrelat ion c oeff ic ient, depending o n w here i t

is in relat ion to the other p oints.

D An outlier will always decrease a correlationcoefficient


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Question No 11

Subject Statistics


Sub-Topic RegressionQuestionStatement

One use of a regression line y = a + bx is:

PossibleChoices

A to est imate the change in y for a one-uni tchange in x .

B to determine if a change in x causes a change in y.

C To determine if any y-values are outliers.

D To determine if any x-values are outliers.


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Question No 12

Subject Statistics


Sub-Topic RegressionQuestionStatement

The regression line relating the final exam score (Y) and themidterm exam score (X) for students is Y= 50 + 0.5X. Oneinterpretation of the its slope is:

PossibleChoices

A students only receive half as much credit (.5) for acorrect answer on the final exam compared to acorrect answer on the midterm exam

B a student who sc ored 10 points h igher thananother student on the midterm would be

predicted to score 5 points higher than the

other stud ent on the f inal exam.

C a student who scored 0 on the final exam would bepredicted to score 50 on the midterm

D a student who scored 0 on the midterm would bepredicted to score 50 on the final exam

E


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Question No 13

Subject Statistics



A chi-square test of the relationship between personalperception of emotional health and marital status led torejection of the null hypothesis, indicating that there is arelationship between these two variables. One conclusion thatcan be drawn is:

PossibleChoices

A There are l ikely to be con found ing v ar iablesrelated to b oth emotional heal th and mar i tal

status.

B Marriage leads to better emotional health.

C Better emotional health leads to marriage.

D More emotionally healthy someone is, the morelikely they are to be married.

E


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Question No 15

Subject Statistics



If a relationship between two variables is called statisticallysignificant, it means the variables are:

PossibleChoices

A Very important.

B Related in the sample due to chance alone.

C Not related in the population represented by thesample.

D Related in the pop ulat ion represented b y thesample.

E


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Question No 16

Subject Statistics



A :Simpson's Paradoxoccurs when:

PossibleChoices

A The results of a test are statistically significant butare really due to chance.

B The direct ion o f the relat ionship between twovar iables changes w hen the categor ies of a

confo und ing var iable are taken into acco unt.

C A confounding variable rather than the explanatoryvariable is responsible for a change in theresponse variable.

D No baseline risk is given, so it is not know whetheror not a high relative risk has practical importance.

E


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Question No 17

Subject Statistics


QuestionStatement

The specific statistical methods used to summarize or todescribe a collection of data is called:

PossibleChoices

A Quantitative Statistics

B Analytical statistics

C Inferential statistics

D Descriptivestatistics.

E


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Question No 18

Subject Statistics


QuestionStatement

The inferential statistical methods are derived from the need for:

PossibleChoices

A Sampling

B Population

C Association

D Probability.


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Question No 19

Subject Statistics



A term population, is the collection of all values of the:

PossibleChoices

A Amount that is under study

B Instance that is under study

C Variablethat is under study

D Measure that is under study


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Question No 20

Subject Statistics



Non-sampling errors are technically faulty observations duringthe:

PossibleChoices

A Collection of data

B Sequencing of data

C Analysis of data

D Processing of data


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Question No 21

Subject Statistics


Sub-Topic Presentation Of Statistical DataQuestionStatement

In the chronological classification, the data is classified on thebasis of:

PossibleChoices

A Location

B Quality

C Time

D Volume


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Question No 22

Subject Statistics



The classification of data according to the location is called:

PossibleChoices

A Geographicalclassification

B Qualitative classification

C Quantitative classification

D Chronological classification


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Question No 23

Subject Statistics



The magnitude of a class is derived by getting the:

PossibleChoices

A sum of lower limit and upper limit

B difference of upper limit and lower limit

C product of lower limit and upper limit

D Mean of lower limit and upper limit


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Question No 24

Subject Statistics



The value lying half way between the upper and lower classlimit is called:

PossibleChoices

A Mid point

B Cumulative Frequency

C Class interval

D Class boundary


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Question No 25

Subject Statistics



one dimensional diagrams used to define the data is:

PossibleChoices

A Pictogram

B Pie diagrams

C Linediagram

D Sub divided diagram


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Question No 26

Subject Statistics



The diagram, most commonly used to presenting businessand economic data is:

PossibleChoices

A Pictogram

B Pie diagrams

C Line diagram

D Bar diagram


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Question No 27

Subject Statistics



The Pie diagram is also known as:

PossibleChoices

A Pictogram

B Angular diagram

C volume diagram

D Bar diagram


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29/100

Question No 29

Subject Statistics



We can find the median of a frequency distribution graphicallywith the help of:

PossibleChoices

A Ogive

B Frequency polygon

C Frequency curve

D Histogram


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Question No 30

Subject Statistics



The mode of a frequency distribution can be obtainedgraphically with the help of:

PossibleChoices

A Frequency curve

B Ogive

C Histogram

D Frequency polygon


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32/100

Question No 32

Subject Statistics


Sub-Topic Mean DeviationQuestionStatement

The value of mean deviation obtained from the median is:

PossibleChoices

A Less than that measured from any value

B Greater than that measured from any other value

C Maximum if all the observations are positive

D Equal to that measured from another value


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Question No 33

Subject Statistics


Sub-Topic MeanQuestionStatement

Determine the sum of the deviation of the variable values 3, 4,6, 8, 14 from their mean

PossibleChoices

A 0

B 17.5

C 6

D 1


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Question No 34

Subject Statistics


Sub-Topic MedianQuestionStatement

Find the median of the following scores:18, 6, 12, 10, 14

PossibleChoices

A 6

B 12

C 14

D 10


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Question No 35

Subject Statistics

Topic Probability

Sub-Topic Normal DistributionQuestionStatement

Approximately percentage fall within one standard deviation ofthe mean in a normal distribution is:

PossibleChoices

A 34%

B 68%

C 95%

D 99%


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Question No 36

Subject Statistics

Topic Measures Of Statistical DataSub-Topic Normal Distribution

QuestionStatement

The denominator of the z-score formula is

PossibleChoices

A The standard deviation

B The mean

C The range

D The difference between a score and the mean


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Question No 37

Subject Statistics



From a sample of 200 packets fifty were found 'Marked' andremain were 'not Marked', assuming Marked means asuccess, which of the following is correct

PossibleChoices

A Sample proportion p=0.34

B Sample prop ort ion p=0.25

C Population proportion p= 0.34

D Population proportion p= 0.25


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Question No 38

Subject Statistics

Topic Measures Of Statistical DataSub-Topic Regression

QuestionStatement

Given a regression equation Y = 25 + .5X1+10X

2,

where X1= years of education and X

2= aptitude test score.

What is the predicted score for someone with 10 years ofeducation and a aptitude test score of 5?

PossibleChoices

A 50

B 60

C 70

D 80


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Question No 39

Subject Statistics

Topic Measures Of Statistical DataSub-Topic Regression

QuestionStatement

in multiple regression how many dependent variables are used:

PossibleChoices

A One

B Two

C More than one

D More than two


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Question No 40

Subject Statistics

Topic Measures of Central TendencySub-Topic Median

QuestionStatement

Which of the following represents the fiftieth percentile:

PossibleChoices

A Variance

B Mean

C Median

D Mode


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Question No 41

Subject Statistics

Topic Measures of dispersionSub-Topic skewness

QuestionStatement

If a distribution is skewed to the left, then this distribution iscalled:

PossibleChoices

A Symmetrical distribution

B Symmetrically skewed distribution

C Positively skewed distribution

D Negatively skewed distribution


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43/100

Question No 43

Subject Statistics

Topic ProbabilitySub-Topic Random Variables

QuestionStatement

if a coin is flipped and out of 50 flips 29 are heads then therelative frequency is:

PossibleChoices

A 50

B

C 29/50

D 29


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Question No 44

Subject Statistics


QuestionStatement

The Union of two events is when you want to know :

PossibleChoices

A Event A OR Event B.

B Event A AND Event B.C Event A + Event B.

D Event A / Event B.


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Question No 45

Subject Statistics


QuestionStatement

Let P(A) = 0.3 and P(B) = 0.2 and P(A B) = 0.15. What is theP(A U B).

PossibleChoices

A 0.35

B 0.5

C 0.65

D 0.60


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Question No 46

Subject Statistics


QuestionStatement

If the intersection of the events is the null set, then the eventsare:

PossibleChoices

A independent

B not mutually exclusive

C mutu al ly exclusive

D Dependent


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Question No 47

Subject Statistics


QuestionStatement

If the probability of intersection of two events is equal to theproduct of their probabilities, then the events are:

PossibleChoices

A independent

B Dependent

C mutually exclusive

D not mutually exclusive


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Question No 48

Subject Statistics

Topic ProbabilitySub-Topic Probability distributions

QuestionStatement

In the case of only two Random Variables, the joint probabilitydistribution is called a

PossibleChoices

A Poisson distribution

B Binomial distribution

C multivariate distribution

D bivariate distribution


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Question No 49

Subject Statistics

Topic Probability

Sub-Topic Random Variables

QuestionStatement

The event of getting a 6 the first time if a die is rolled and theevent that the sum of the numbers seen on the first and secondtrials is 8 are:

PossibleChoices

A mutually exclusive

B not mutually exclusive

C Independent

D not independent

E


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Question No 50

Subject StatisticsTopic Probability

Sub-Topic Random Variables

QuestionStatement

The event of getting a 6 the first time a die is rolled and theevent of getting a 6 the second time are:

PossibleChoices

A Independent

B Not independent

C mutually exclusive

D not mutually exclusive

E


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Question No 51

Subject Statistics


QuestionStatement

Two events are called mutually exclusive events if:

PossibleChoices

A Occurrence of one event effects on occurrence ofother event.

B Occurrence of one event does not effect on theoccurrence of other event.

C they cannot occur at the same time

D they can occur at the same time


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Question No 52

Subject Statistics


QuestionStatement

If X and Y are Random Variables then E(X-Y) equal to::

PossibleChoices

A X - E (Y)

B E (X) - Y

C E (X) + E (Y)

D E (X)E (Y)


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Question No 53

Subject Statistics

Topic Measures of dispersionSub-Topic Skewness

QuestionStatement

If the value of Pearsons coefficient of skewness is greater thenzero then the shape of distribution will be:

PossibleChoices

A Positively skewed

B Negatively skewed

C J-shaped

D Symmetrical


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Question No 54

Subject Statistics

Topic Measures of dispersionSub-Topic Skewness

QuestionStatement

In measures of relative dispersion the unit of measures is

PossibleChoices

A Vanished

B Dependent

C Not changed

D Changed


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Question No 55

Subject Statistics

Topic Statistical InferenceSub-Topic Testing of Hypothesis

QuestionStatement

The range of F-distribution is always from:

PossibleChoices

A 0 to -

B 0 to +

C - to +

D 0 to 1


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58/100

Question No 58

Subject Statistics


QuestionStatement

The distribution used to find the confidence interval for the ratioof two variance is:

PossibleChoices

A T-distribution

B Chi-square distribution

C Z-distribution

D F-distribution


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Question No 59

Subject Statistics


QuestionStatement

In a symmetric distribution how many percent of values are lessthen 5

thdeciles?

PossibleChoices

A 5

B 25

C 50

D 75


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Question No 60

Subject Statistics


QuestionStatement

with a sample of size 15, the degrees of freedom for T-test is:

PossibleChoices

A 0

B 1

C 14

D 15


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62/100

Question No 62

Subject Statistics


QuestionStatement

Which is true for the binomial distribution b(x: n, p):

PossibleChoices

A Mean = Variance

B Mean > Variance

C Mean < Variance

D Mean > Standard Deviation


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Question No 63

Subject Statistics

Topic Measures of Central TendencySub-Topic Mode

QuestionStatement

What is stand for f m in the formula of mode:

PossibleChoices

A First frequency

B Last frequency

C highest frequency

D middle frequency


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65/100

Question No 65

Subject Statistics


QuestionStatement

In the Poisson distribution, which is true:

PossibleChoices

A mean = Standard Deviation

B mean = variance

C mean > variance

D mean < variance

E


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Question No 66

Subject Statistics


QuestionStatement

If a significance level of 1% is used rather than 5%, the nullhypothesis is:

PossibleChoices

A Just as likely to be not rejected

B Just as likely to be rejected

C Less l ik ely to be rejected

D More likely to be rejected


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70/100

Question No 70

Subject Statistics


QuestionStatement

The ANOVA table was introduced by a statistician named:

PossibleChoices

A R.A Fish er

B Helmert

C Francis

D Pearson


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Question No 71

Subject Statistics


QuestionStatement

The test statistic used in analysis of variance (ANOVA)procedure is:

PossibleChoices

A Z- distribution

B F- distribution

C T-distribution

D X2 distribution

E


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Question No 72

Subject Statistics


QuestionStatement

For Testing of Hypothesis about population proportion, thefollowing distribution is used:

PossibleChoices

A T-distribution

B F- distribution

C X2 distribution

D Z- distribution

E


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Question No 73

Subject Statistics

Topic ProbabilitySub-Topic Random Variable

QuestionStatement

If a die is rolled. What is the probability that the numberappeared is greater than 2 and odd:

PossibleChoices

A 5/6

B 1/6

C 1/3

D 2/3

E


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Question No 74

Subject Statistics

Topic ProbabilitySub-Topic Random Variable

QuestionStatement

What is the probability if a card is drawn from a pack of 52cards and it is a king of spade:

PossibleChoices

A

B 1/52

C 1/13

D 1/26

E


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Question No 75

Subject Statistics

Topic Statistical InferenceSub-Topic Estimation

QuestionStatement

An estimator T is called to be unbiased estimator of if the:

PossibleChoices

A E (T) =0

B E (T) =1

CE T) =

D E (T) =T

E


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76/100

Question No 76

Subject Statistics

Topic Statistical Inference

Sub-Topic Estimation

QuestionStatement

How many value(s) we always get from a point estimationprocedure?

PossibleChoices

A Zero values

B Singlevalue

C Two values

D Range of values

E


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77/100

Question No 77

Subject Statistics

Topic Statistical InferenceSub-Topic Estimation

QuestionStatement

The best unbiased estimator for population variance is:

PossibleChoices

A Sample variance

B Sample standard deviation

C Sample mean

D Sample median

E


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78/100

Question No 78

Subject Statistics


QuestionStatement

If C is a constant, then E(C) is equal to:

PossibleChoices

A -C

B C

C 1

D 0


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79/100

Question No 79

Subject Statistics

Topic Measures of dispersionSub-Topic Variance

QuestionStatement

Var (5X+4) =

PossibleChoices

A 25Var(X)+4

B 25Var(X)+16

C 25Var(X)

D 5Var(X)


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80/100

Question No 80

Subject Statistics


QuestionStatement

A hyper geometric Random Variable is:

PossibleChoices

A An independent variable

B An undefined

CA discrete variable

D A continuous variable


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81/100

Question No 81

Subject Statistics


Sub-Topic Mean deviationQuestionStatement

Following percent of values fall in the interval .Median QD

PossibleChoices

A 99%

B 95%

C 68%

D 50%

E


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83/100

Question No 83

Subject Statistics


Sub-Topic quartile deviationQuestionStatement

relative counterpart of quartile deviation is

PossibleChoices

A Q3Q1

B (Q3 Q1 )/ (Q3 Q1 )

C (Q3Q1)/ (Q3 + Q1)

D Q3 + Q1


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84/100

Question No 84

Subject Statistics


Sub-Topic Standard deviationQuestionStatement

SD is the basis of relative measure of dispersion known as:

PossibleChoices

A Coefficient of Variance

B Coefficient of Standard deviation

C Coefficient of Co-Variance

D Variance


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85/100

Question No 85

Subject Statistics



In a normal distribution the relation among mean, median andmode is:

PossibleChoices

A Mean>Median>Mode

B Mean


86/100

Question No 86

Subject Statistics



Which is a graphical way of showing dispersion in any datadistribution.

PossibleChoices

A Exponential curve

B Logarithmic curve

C Normal curve

D Lorenz Curve


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87/100


88/100

Question No 88

Subject Statistics

Topic Probability

Sub-Topic Random VariableQuestionStatement For the Poisson distribution

!3

124.0

124.

e

the mean value is:

PossibleChoices

A 0.124

B 1.24

C 12.4

D 3

E


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89/100

Question No 89

Subject Statistics

Topic Probability

Sub-Topic Random VariableQuestionStatement

In general, the rate parameter may change over time; such aprocess is called :

PossibleChoices

A non-homogeneous Poisson process

B homogeneous Poisson process

C Poisson probability distribution

D Cox process


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90/100

Question No 90

Subject Statistics

Topic Probability


If a continuous probability distribution has 2 then itspeakedness will be:

PossibleChoices

A Moderately skewed

B Leptokutic

C Mesokurtic

DPlatykurtic

ECorrect Choice A B C D EEducational

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91/100

Question No 91

Subject Statistics



The variance (

of the t-distribution is

PossibleChoices

A = v-2/v

B = v/v-1C = v/v-2

D = v-1/v-2


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92/100

Question No 92

Subject Statistics



The mean () of the F-distribution is

PossibleChoices

A v2-2/v2 for v2>2B v2/v2-2 for v2>2C v2/v2-1 for v2>2D v2-1/v2 for v2>2E

Correct Choice A B C D EEducational

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93/100

Question No 93

Subject Statistics



Analysis of variance is a procedure used to test the equality of several:

PossibleChoices

A Mean

B Variance

C Proportions

D GroupsE


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95/100

Question No 95

Subject Statistics

Topic Probability


EventsAandBare defined to bestatistically independent if P (AB)

is equal to:

PossibleChoices

A P(A) + P(B)

B P(A).P(B)

C P(A).P(B/A)

D P(B).P(A/B)


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http://en.wikipedia.org/wiki/Independence_%28probability_theory%29http://en.wikipedia.org/wiki/Independence_%28probability_theory%29


96/100


97/100

Question No 97

Subject Statistics



Find variance of given data,

5, 5, 5, 5, 5, 5, 5, 5

PossibleChoices

A 0

B 5

C 25

D 1


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statistics mcqs(1)

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