This section includes MCQs from importance of statistics, Variables (Quantitative, Qualitative or categorical) , Sources of Data (Primary and secondary), Representation of data (Classification of data, Tabulation of data, Frequency distribution, Graphical representation of data, Bivariate Frequency Distribution), Measure of Locations (Mean, Median, Mode, Weighted Mean, Geometric Mean, Harmonic Mean, Percentiles Deciles, Quartiles), Measure of dispersion (Range, Quartile Deviation, Mean deviation, Variance, Standard Deviation) etc.
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Question 1

The mean of a distribution is 14 and the standard deviation is 5. What is the value of the coefficient of variation?

A

60.4%

B

48.3%

C

35.7%

D

27.8%

Question 1 Explanation:

CV=$\frac{SD}{Mean}\times 100$

Question 2

The mean of a distribution is 23, the median is 24, and the mode is 25.5. It is most likely that this distribution is:

A

Positively Skewed

B

Symmetrical

C

Asymptotic

D

Negatively Skewed

Question 2 Explanation:

For Negative Skewed Mean is likely to be less than mode and median

Question 3

Which of the following describe the middle part of a group of numbers?

A

Measure of Variability

B

Measure of Central Tendency

C

Measure of Association

D

Measure of Shape

Question 4

According to the empirical rule, approximately what percent of the data should lie within $\mu \pm 2 \sigma$?

A

75%

B

68%

C

99.7%

D

90%

E

95%

Question 5

The sum of the deviations about the mean is always:

A

Range

B

Zero

C

Total Standard Deviation

D

Positive

E

Negative

Question 6

The middle value of an ordered array of numbers is the

A

Mode

B

Mean

C

Median

D

MidPoint

Question 7

Which of the following is not a measure of central tendency?

A

Percentile

B

Quartile

C

Standard deviation

D

Mode

Question 7 Explanation:

Standard Deviation is measure of Dispersion or variability its not measure of central tendency.

Question 8

Which of the following divides a group of data into four subgroups?

A

Percentiles

B

Deciles

C

Median

D

Quartiles

E

Standard Deviation

Question 9

If the standard deviation of a population is 9, the population variance is:

A

9

B

3

C

21

D

81

Question 9 Explanation:

variance is Square of standard deviation

Question 10

If a distribution is abnormally tall and peaked, then is can be said that the distribution is:

A

leptokurtic

B

pyrokurtic

C

platykurtic

D

mesokurtic

Question 10 Explanation:

A leptokurtic curve is "long peaked" . It is (lepto is Greek for thin or small; kurtos is Greek for bulge; thus, a curve which is "thin bulge").

Question 11

Sum of dots when two dice are rolled is

A

a discrete variable

B

a continuous variable

C

a constant

D

a qualitative variable

Question 12

The weights of students in a college/school is a

A

Discrete Variable

B

Continuous Variable

C

Qualitative Variable

D

None of these

Question 13

The number of accidents in a city during 2010 is

A

Discrete variable

B

Continuous variable

C

Qualitative variable

D

Constant

Question 14

Which of these represent qualitative data

A

Height of a student

B

Liking or disliking of (500) persons of a product

C

Income of a government servant in a city

D

Yield from a wheat plot

Question 15

Life of a T.V picture tube is a

A

Discrete variable

B

Continuous variable

C

Qualitative variable

D

Constant

Question 16

The first hand and unorganized form of data is called

A

Secondary data

B

Organized data

C

Primary data

D

None of these

Question 17

The data which have already been collected by some one are called

A

Raw data

B

Array data

C

Secondary data

D

Fictitious data

Question 18

Census reports used as a source of data is

A

Primary source

B

secondary source

C

Organized data

D

none

Question 19

The grouped data is also called

A

Raw data

B

Primary data

C

Secondary data

D

Qualitative data

Question 20

Primary data and _____________ data are same

A

Grouped

B

Secondary data

C

Ungrouped

D

None of these

Question 21

Questionnaire survey method is used to collect

A

Secondary data

B

Qualitative variable

C

Primary data

D

None of these

Question 22

Data collected by NADRA to issue computerized identity cards (CICs) are

A

Unofficial data

B

Qualitative data

C

Secondary data

D

Primary data

E

None of these

Question 23

Population census is conducted through

A

Sample survey

B

Accounting

C

Investigation

D

Complete enumeration

Question 24

A parameter is a measure which is computed from

A

Population data

B

Sample data

C

Test statistics

D

None of these

Question 25

Given $X_1=12, X_2=19 ,X_3=10, X_4=7$, then $\sum_{i=1}^4$ equals?

A

36

B

48

C

41

D

29

E

None of these

Question 25 Explanation:

12+19+10+7=48

Question 26

A chance variation in an observational process is

A

Dispersion/ Variability

B

Measurement error

C

Random error

D

Instrument error

Question 27

A constant variable can take values

A

Zero

B

Fixed

C

Not fixed

D

nothing

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Test 2

MCQs from Basic Statistics

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Question 1

Data in the Population Census Report is:

A

Grouped data

B

Ungrouped data

C

Secondary data

D

Primary data

E

Arrayed data

Question 2

Which of the following is not based on all the observations?

A

Arithmetic Mean

B

Geometric Mean

C

Harmonic Mean

D

Weighted Mean

E

Mode

Question 3

Which branch of statistics deals with the techniques that are used to organize, summarize, and present the data:

A

Advanced Statistics

B

Probability Statistics

C

Inferential Statistics

D

Descriptive Statistics

E

Bayesian Statistics

Question 4

Statistic is a numerical quantity, which is calculated from:

A

Population

B

Sample

C

Data

D

Observations

Question 5

In statistics, conducting a survey means

A

Collecting information from elements

B

Making mathematical calculations

C

Drawing graphs and pictures

D

None of the above

Question 6

When data are collected in a statistical study for only a portion or subset of all elements of interest we are using:

A

A sample

B

A Parameter

C

A Population

D

Both b and c

Question 7

In inferential statistics, we study

A

the methods to make decisions about population based on sample results

B

how to make decisions about mean, median, or mode

C

how a sample is obtained from a population

D

None of the above

Question 8

In descriptive statistics, we study

A

The description of decision making process

B

The methods for organizing, displaying, and describing data

C

How to describe the probability distribution

D

None of the above

Question 9

In statistics, a population consists of:

A

All People living in a country

B

All People living in the are under study

C

All subjects or objects whose characteristics are being studied

D

None of the above

Question 10

Which one of the following measurement does not divide a set of observations into equal parts?

A

Quartiles

B

Standard Deviations

C

Percentiles

D

Deciles

E

Median

Question 11

The height of a student is 60 inches. This is an example of --------------

A

Qualitative data

B

Categorical data

C

Continuous data

D

Discrete data

Question 12

The algebraic sum of deviations from mean is:

A

Maximum

B

Zero

C

Minimum

D

Undefined

Question 13

You asked five of your classmates about their height. On the basis of this information, you stated that the average height of all students in your university or college is 67 inches. This is an example of:

A

Descriptive statistics

B

Inferential Statistics

C

Parameter

D

Population

Question 14

Which one is the not measure of dispersion.

A

The Range

B

50th Percentile

C

Inter-Quartile Range

D

Variance

Question 15

In statistics, a sample means

A

A portion of the sample

B

A portion of the population

C

all the items under investigation

D

none of the above

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Test 3

MCQs about Measure of Dispersion I

This test contains MCQS about Measure of Dispersion/ Variation such as Standard Deviation, Variance, Mean Deviation, Coefficient of Variation, Moments, Symmetry and Skewness, Kurtosis, Quartiles Deviations, Range etc.

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Question 1

If X and Y are independent then SD (X − Y) is

A

$SD(X)-SD(Y)$

B

$SD(X)+SD(Y)$

C

$\sqrt{SD(X)+SD(Y)}$

D

$\sqrt{Var(X)+Var(Y)}$

Question 2

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

A

Zero

B

Maximum

C

Least

D

None

Question 3

Standard deviation is calculated from the Harmonic Mean (HM)

A

Always

B

Sometimes

C

Never

D

None of these

Question 4

The sum of squares of deviation is least if measure from

A

Mean

B

Mode

C

Median

D

Variance

Question 5

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

A

$a\pm b Var(X)$

B

$Var(a) \pm Var(X)$

C

$\pm b Var(X)$

D

$b^2 Var(X)$

E

$(a \pm b) Var(X)$

Question 6

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

A

50

B

70

C

50/20

D

50-20=30

E

50

Question 7

The mean deviation of the values, 18, 12, 15 is

A

6

B

zero

C

3

D

2

Question 7 Explanation:

$MD=\frac{\sum_{i=1}^n |x_i-\overline{x}|}{n}$

Question 8

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

A

4

B

8

C

2

D

12

E

0

Question 9

The variance of a constant is

A

zero

B

constant

C

a

D

None

Question 10

Which of these is a relative measure of dispersion
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A

Standard Deviation

B

Variance

C

Coefficient of Variation

D

Non of these

Question 11

A measure of dispersion is always ________

A

zero

B

Positive

C

Negative

D

Infinity

Question 12

The measure of dispersion is changed by a change of

A

Origin

B

Scale

C

Algebraic Signs

D

None

Question 13

Variance remains unchanged by change of

A

Origin

B

Scale

C

Both

D

None of these

Question 14

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

A

5 Var(X)

B

4 Var(X)

C

4 Var(X)+3

D

5 Var(X) + 3

Question 15

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

A

20

B

5

C

2.5

D

5.5

E

0

Question 16

The measure of Dispersion can never be

A

Positive

B

Negative

C

0

D

1

Question 17

The standard deviation is always _________ than mean deviation

A

Greater

B

Less

C

Equal

D

None

Question 18

For a symmetrical distribution approximately 68% of the cases are included between
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A

$\overline{X}-S\,$ and $\overline{X}+S$

B

$\overline{X}-2S\,$ and $\overline{X}+2S$

C

$\overline{X}-3S\,$ and $\overline{X}+3S$

D

None of these

Question 19

Lowest value of variance can be

A

1

B

-1

C

3

D

-3

E

0

Question 19 Explanation:

Variance can not be negative

Question 20

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

A

68.26%

B

95.45%

C

99.7%

D

65%

E

99%

Question 21

If Y=−8X − 5 and SD of X is 3, then SD of Y is

A

8

B

3

C

5

D

24

E

None

Question 22

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

A

1

B

0

C

Mean

D

Mode

E

Median

Question 23

Variance is always calculated from

A

Mode

B

Varaince

C

Geometric Mean

D

Median

E

Mean

Question 24

If the standard deviation of the values 2, 4, 6, 8 is 2.33, then the standard deviation of the values 4, 6, 8, 10 is

A

0

B

2.58

C

5

D

4.66

E

2.33

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Test 4

MCQs about Measure of Dispersion II

Prepare yourself by taking http://itfeature.com 's online MCQs test about Measure of Dispersion/ Variation. It includes MCQs on Standard Deviation, Variance, Mean Deviation, Coefficient of Variation, Moments, Symmetry and Skewness, Kurtosis, Quartiles Deviations, Range etc.

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The mean of 10 numbers is 9, then sum of these numbers will be

A

70

B

0.9

C

9

D

90

Question 6

Arithmetic Mean is ________ affected by extreme values

A

None of these

B

Not

C

Highly

D

Less

Question 7

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

A

$\sum(X-10)^2$

B

$\sum(X-14)^2$

C

$\sum(X-15)^2$

D

$\sum(X-12)^2$

Question 8

If "X" is a constant then $\sum_{i=1}^2 a =$ ________________

A

2X

B

X

C

nX

Question 9

_______ is based on all observations of data

A

Mode

B

Mean

C

None of these

D

Median

Question 10

The average of first n natural numbers is

A

None of these

B

$\frac{n}{2}$

C

$\frac{n+1}{2}$

Question 11

The mean of a constant "b" is

A

Zero

B

b

C

None

Question 12

The sum of values divided by their number is called

A

None of these

B

Harmonic Mean

C

Mode

D

Mean

E

Median

Question 13

The sum of squared deviation is least from

A

Mean

B

Mode

C

Median

D

Standard Deviation

Question 14

The calculation of mean and variance is based on

A

Extreme values only

B

Large values only

C

Small values only

D

All values

Question 15

Sum of deviations will be zero if it is taken from

A

Standard Deviation

B

Median

C

Mean

D

Mode

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Test 6

This test contains statistical MCQs about measure of central tendencies such as Geometric Mean (GM), Harmonic Mean (HM), Median, Mode and Arithmetic Mean (AM). Some of the MCQs are from different examinations relation to school, colleges, universities and Job related exams on statistics.

MCQS on Measure of Central Tendencies

This test covers MCQs on Measure of central tendencies such as Geometric Mean (GM), Harmonic Mean (HM), Median and Mode. This online test by http://itfeature.com will help you to pass your education or job related exam about subject statistics.

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Question 1

The most repeated (popular) value in a data set is called

A

Mean

B

Mode

C

Median

D

Geometric Mean

E

Harmonic Mean

Question 2

The Harmonic Mean of any two numbers is

A

$a+b$

B

$\frac{2ab}{a+b}$

C

$\frac{a+b}{2}$

D

$\sqrt{ab}$

Question 3

The Geometric Mean of -2, 4, 03, 6, 0 will be

A

0

B

None of these

C

Cannot be Computed

D

-3

E

3

Question 4

If 10% is added to each value of variable, the geometric mean of new variable is added by

Student and Instructor of Statistics and business mathematics.
Currently Ph.D. Scholar (Statistics), Bahauddin Zakariya University Multan.
Like Applied Statistics and Mathematics and Statistical Computing.
Statistical and Mathematical software used are: SAS, STATA, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel.
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Mean: Measure of Central Tendency The measure of Central Tendency Mean (also know as average or arithmetic mean) is used to describe the data set as a single number (value) which represents the middle (center) of the data, that is average measure (performance, behaviour, etc) of data. This measure of central tendency is also known […]

Probability sampling In probability each unit of the population has known (non-zero) probability of being included in the sample and samples are selected randomly by using some random selection method. That’s why, probability sampling may also be called random sampling. In probability sampling reliability of the estimates can be determined. In probability sampling, samples are […]

It is often required to collect information from the data. There two methods for collecting the required information. Complete information Sampling Complete Information In this method the required information are collected from each and every individual of the population. This method is used when it is difficult to draw some conclusion (inference) about the population […]

Research is inquiry. It is a process of discovering some new knowledge, that involves multiple elements such as theory development and testing, empirical inquiry, and sharing the generated knowledge with others such as experts and colleagues. A short description about elements of theory is: Theory is a set of ideas and perceptions that helps people […]

Question 1: How can I retrieve (load) the work that is saved using history function in R? Answer: The loadhistory() function will load an “.Rhistory“file. > loadhistory(“d:/file_name.Rhistory”) This function will load file named “file_name.Rhistory” from D: drive. The other way may be to access .Rhistory file through the file menu. For this click File and … Continue reading “R Basics”

Question: How one can get help about different command in R Language? Answer: There are many ways to get help about different command (functions). R has built-in help facility which is similar to man facility in Unix. For beginners of R language, help() function or ? can be used to get help about different commands … Continue reading “R FAQs: Getting Help in R”

Question: Can I save my work in R Language? Answer: R language facilitates to save ones R work. Question: How to save work done in R? Answer: All of the objects and functions that are created (you R workspace) can be saved in a file .RData by using the save() function or the save.image() function. … Continue reading “R FAQs: Saving and Loading R workspace”

Question: What are the differences of missing values in R and other Statistical Packages? Answer: Missing values (NA) cannot be used in comparisons, as already discussed in previous post on missing values in R. In other statistical packages (softwares) a “missing value” is assigned some code either very high or very low in magnitude such … Continue reading “R FAQs: Handling Missing values in R”

Question: What is matrix in R? Answer: In R language matrices are two dimensional arrays of elements all of which are of the same type, for example numbers, character strings or logical values. Matrices may be constructed using the built in function “matrix”, which reshapes its first argument into a matrix having specified number of … Continue reading “R FAQS about Matrix | Data Structure for Matrix in R”

Question: Can missing values be handled on R? Answer: Yes, in R language one can handle missing values. The way of dealing with missing values is different as compared to other statistical softwares such as SPSS, SAS, STATA, EVIEWS etc. Question: What is the representation of missing values in R Language? Answer: In R missing … Continue reading “R FAQ missing values”

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