Thursday 1 March 2012


Statistic for Management

PART A
Q.1
_____ assumes a constant percentage increase each
year

A)
Arithmetic trend

B)
Semi Log trend

C)
Modified Exponential Curve

D)
Logistic Curve

Q.2
_____ is a type of correlation

A)
Positive

B)
Partial

C)
Multiple

D)
All of the above

Q.3
T\here are _____ percentiles for a frequency
distribution

A)
4

B)
16

C)
99

D)
100

Q.4
One of the requirements for using _____ is that the
probability of the outcome must be fixed over time

A)
Binomial Theorem

B)
Bernoulli Process

C)
Binomial Distribution

D)
None of the above

Q.5
There are _____ methods of selecting samples from
populations

A)
2

B)
3

C)
4

D)
6

Q.6
_____ Correlation is used in a situation where three
and four variables involved

A)
Positive

B)
Partial

C)
Rank

D)
All of the above

Q.7
The branch of Statistics which deals with problems in
Biology is _____

A)
Demography

B)
Biometry

C)
Bio-Informatics

D)
Bio-Graph

Q.8
_____ theory proceeds on the analysis of interplay
of current economic forces

A)
Sequence

B)
Cross Cut Analysis

C)
Economic Rhythm

D)
Specific Historical

Q.9
The central value around which there is
concentration is called measure of _____

A)
Central Tendency

B)
Class Interval

C)
Frequency Distribution

D)
None of the above

Q.10
When we observe numerical data at different points
of time the set of observations in known as _____

A)
Time Sequence

B)
Time Series

C)
Sequence

D)
Series

Q.11
_____ is used in testing the goodness of fit of a
theoretical distribution

A)
a2

B)
x2

C)
y2

D)
z2

Q.12
_____ is known as general Index of business activity
which refers to weighted or composite indices of
individual Index business activities

A)
Barometers relating to general business activities

B)
Business Barometers for specific business or industry

C)
Business Barometers concerning to individual business firm

D)
All of the above

Q.13
In _____, we infer something about a population
from information taken from a sample

A)
Statistical Inference

B)
Estimation

C)
Sampling

D)
Prediction

Q.14
Whenever we reject the hypothesis, the conclusion
we do accept is called the _____ hypotheseis

A)
Null

B)
Zero

C)
Choice

D)
Alternative

Q.15
If the Long Term Trend Curve is _____, that is called
a trend line

A)
Straight Line

B)
Parabolic

C)
Rounded

D)
All of the above

Q.16
_____ correlation method is developed by the British
Psychologist Charles Edward Spearman in 1904

A)
Positive

B)
Partial

C)
Rank

D)
All of the above

Q.17
The normal probability distribution is often called the
_____

A)
Binomial Theorem

B)
Bernoulli Process

C)
Gaussian Distribution

D)
Binomial Distribution

Q.18
The _____ interval is the range of the estimate we
are making

A)
Efficient

B)
Class

C)
Coefficient

D)
Confidence

Q.19
These agents who collect and hand over information
to the investigator are _____

A)
Investigator

B)
Informants

C)
Respondents

D)
Enumerators

Q.20
A _____ probability can take on only a limited
number of values, which can be listed

A)
Discrete

B)
Continuous

C)
Either A) or B)

D)
None of the above

Q.21
Classification of units on the basis of a single
characteristic is called as _____ classification

A)
Simple

B)
One-way

C)
Either A) or B)

D)
Mani-fold

Q.22
A _____ is an estimate based solely in past data of
the series under investigation

A)
Forecast

B)
Production

C)
Projection

D)
Prediction

Q.23
The probability of two or more independent events
occurring together or in succession is the _____ of their
marginal probabilities

A)
Product

B)
Difference

C)
Reciprocal

D)
Aggregate

Q.24
The primary purpose of _____ is to measure relative
temporal or cross-sectional changes in a variable or a
group of related variables which are not capable of
being directly measured

A)
Correlation Number

B)
Regression Number

C)
Index Number

D)
Value Relative

Q.25
In _____ sampling, we divide the population into
groups and then select a random sample of these
groups

A)
Systematic

B)
Stratified

C)
Cluster

D)
Random

Q.26
_____ survey is a small trial survey (survey of a few
units) undertaken before the main survey is conducted

A)
Pre

B)
Proto

C)
Pilot

D)
Prototype

Q.27
_____ sampling differs from simple random sampling
in that each element has an equal chance of being
selected but each sample does not have an equal
chance of being selected

A)
Systematic

B)
Stratified

C)
Cluster

D)
Random

Q.28
The sample observations should be _____
distributed

A)
Independently

B)
Normally

C)
Both A) and B)

D)
Proportionately

Q.29
. _____ exists when the probability of some event is
dependent on or affected by the occurrence of some
other event

A)
Mutually Exclusive Events

B)
Independent Event

C)
Statistical Dependence

D)
None of the above

Q.30
_____ always begins with zero at the meeting point
of the two axes

A)
Horizontal Axis

B)
Vertical Axis

C)
Rectangular Bar

D)
Vertical Bar

Q.31
In general, _____ is the chance something will
happen

A)
Probability

B)
Statistics

C)
Trigonometry

D)
Possibility

Q.32
The ratio V1 / V0 x 100 = p1q1 / p0q0 x 100 is called
_____

A)
Price Relative

B)
Production Relative

C)
Quantity Relative

D)
Value Relative

Q.33
The Example of Quantitative Characteristic is _____

A)
Height of a person

B)
Weight of an apple

C)
Both A) and B)

D)
Colour of a person

Q.34
Total Variance = _____

A)
Variance between the samples + Variance within the samples

B)
Variance between the samples - Variance within the samples

C)
Variance between the samples / Variance within the samples

D)
Variance between the samples * Variance within the samples

Q.35
Identity the correct formula

A)
P(A’) = 1 + P (A)

B)
P(A’) = 1 – P (A)

C)
P(A) = 1 – P (A’)

D)
P(A) = 1 + P (A’)

Q.36
_____ refers to the size of the standard error of the
statistic

A)
Unbiasedness

B)
Efficiency

C)
Consistency

D)
Sufficiency

Q.37
The relationship between the shape of the
population distribution and the shape of the sampling
distribution of the mean is called the _____ theorem

A)
Binomial

B)
Frequency

C)
Baye’s

D)
Central Limit

Q.38
When the probability of the occurrence of an event
is dependent on, or effected by in some way the
occurrence of another event or some other event, then
the events are known to be _____

A)
Mutually Exclusive

B)
Independent

C)
Statistically Dependent

D)
None of the above

Q.39
_____ tests enable us to test whether more than
two population proportions can be considered equal

A)
Chi-square

B)
F

C)
Variance Ratio

D)
Hypothesis

Q.40
Probability of the event A is expressed as _____

A)
P (A)

B)
P. A.

C)
P (A’)

D)
AP

Q.41
_____ assumes that each increment of growth will
be a constant per cent of the previous one

A)
Arithmetic trend

B)
Semi Log trend

C)
Modified Exponential Curve

D)
Logistic Curve

Q.42
The assumption we wish to test is called the _____
hypothesis

A)
Null

B)
Zero

C)
Choice

D)
Alternative

Q.43
_____ is the difference between the highest and the
lowest values in the data

A)
Range

B)
Class Interval

C)
Frequency

D)
None of the above

Q.44
_____ theory is based on the assumption that most
of the business data have the lag and lead relationships

A)
Sequence

B)
Cross Cut Analysis

C)
Economic Rhythm

D)
Specific Historical

Q.45
The Geometric mean of n values is the nth root of
the _____ of the values

A)
Product

B)
Difference

C)
Reciprocal

D)
Aggregate

Q.46
_____ is the “science of data” a science that will
enable us to become proficient data producers and
efficient data users

A)
Statistics

B)
Database

C)
Aggregate

D)
Probability

Q.47
_____ is/are used to measure the strength of
relationships between variable

A)
Correlation

B)
Regression

C)
Both A) and B)

D)
None of the above

Q.48
Frequency distribution of a single variable is called
_____ frequency distribution

A)
Univariate

B)
Multivariate

C)
Bivariate

D)
All of the above

Q.49
Early theoretical work on ‘_____’ distributions was
done by W. S. Gosset

A)
t

B)
f

C)
g

D)
h

Q.50
The middle most value of a class interval is called
_____

A)
Class mid-value

B)
Class mark

C)
Either A) or B)

D)
None of the above

Q.51
The assumption used in Hypothesis Testing when
population is not known is, use the t distribution
whenever the:

A)
Sample size is less than 30

B)
Population SD is not known

C)
Population is normal or approximately normal

D)
All of the above

Q.52
_____ is the means by which we select from among
the many possible relationships between variables in a
complex economy those which will be useful for
forecasting

A)
Business Barometers

B)
Time Series Analysis

C)
Extrapolation

D)
Regression Analysis

Q.53
The set of all possible outcomes’ of an experiment is
called the “_____” for the experiment

A)
Event

B)
Probability

C)
Possibility

D)
Sample Space

Q.54
_____ is a statistical measure which is designed to
express changes or differences in a variable or a group
of related variables, usually expressed in percentage
form

A)
Correlation Number

B)
Regression Number

C)
Index Number

D)
Value Relative

Q.55
_____ is the appropriate measure for averaging
growth rates

A)
H. M.

B)
Mean

C)
Median

D)
G. M.

Q.56
SSE = _____

A)
SST + SSC - SSR

B)
SST – SSC - SSR

C)
SST – SSC + SSR

D)
SST + SSC + SSR

Q.57
ANOVA stands for

A)
Analysis over variable

B)
Analysis of variable

C)
Analysis over variance

D)
Analysis of variance

Q.58
_____ data are the data which the investigator does
not collect directly from the field

A)
Primary

B)
Secondary

C)
Field

D)
Indirect

Q.59
‘History repeats itself’ is the main foundation of
_____ theory

A)
Sequence

B)
Cross Cut Analysis

C)
Economic Rhythm

D)
Specific Historical

Q.60
The range of correlation coefficient is from _____ +1

A)
-1

B)
0

C)
-8

D)
-16

Q.61
For a raw data and for a discrete distribution, the r
th Quartile is:

A)
[r (n+1) / 4] th

B)
[r (n-1) / 4] th

C)
[r (n+1) * 4] th

D)
[r (n-1) * 4] th

Q.62
A variable which assumes all the values in the range
is a _____ variable

A)
Discrete

B)
Continuous

C)
Isolated

D)
Separated

Q.63
The harmonic mean of n values is the ______ of the
arithmetic mean of the reciprocals of the given values

A)
Product

B)
Difference

C)
Reciprocal

D)
Aggregate

Q.64
The _____ of a set of values is the positive squareroot
of mean of the squared deviations of the values
from their arithmetic mean

A)
A.M.

B)
G. M.

C)
H. M.

D)
Standard Deviation

Q.65
A tabular presentation of frequency distribution is
called _______

A)
Frequency Table

B)
Class Intervals

C)
Continuous Distribution

D)
Discrete Distribution

Q.66
A _____ test of a hypothesis will reject the null
hypothesis if the sample mean is significantly higher
than or lower than the hypothesized population mean

A)
One tailed

B)
Two tailed

C)
Left tailed

D)
All of the above

Q.67
We use _____ when it is not possible to count

A)
Complete Enumeration

B)
Census

C)
Sampling

D)
Survey


PART B
Q.1
State the True points with respect to chi-square
tests
1. Chi-square x2 tests are used only for the equality of
several proportions
2. If we classify a population into several categories with
respect to two attributes (such as age and

A)
1-T, 2-T

B)
1-T, 2-F

C)
1-F, 2-T

D)
1-F, 2-F

Q.2
The True points with regards to Cross-Cut Analysis
are:
1. This theory proceeds on the analysis of interplay of
current economic forces
2. In this method, the combined effects of various
factors are not studied
3. Under this theory

A)
1 and 2

B)
2 and 3

C)
1 and 3

D)
1, 2 and 3

Q.3
Heights of six students are 163, 173, 168, 156, 162
and 165 cms. Find the arithmetic mean.

A)
164.5 cms

B)
197.4 cms

C)
164.3 cms

D)
198.3 cms

Q.4
The assumptions used in Hypothesis Testing when
population is not known are:
1. Use the t distribution whenever the sample size is less
than 30, population SD is not known and Population is
normal or approximately normal
2. Doing hypot

A)
1 and 2

B)
1 and 3

C)
2 and 3

D)
All of the above

Q.5
The different types of Mutually Exclusive Events are:
1. Collectively Exhaustive List of Events
2. Independent Event
3. Dependent Event

A)
1 and 2

B)
1 and 3

C)
2 and 3

D)
1, 2 and 3

Q.6
The reason (s) why the normal distribution occupies
such a prominent place in statistics is/are:
1. It has some properties that make it applicable to a
great many situations in which it is necessary to make
inferences by taking samples <br

A)
Only 1

B)
Only 2

C)
1 and 2

D)
None of the above

Q.7
State True or False with respect to Statistics
a) In singular form, it stands for numerical facts (facts
expressed in numbers) pertaining to a collection of
objects
b) In plural form, it stands for the science of collection
organizatio

A)
1-T, 2-T

B)
1-T, 2-F

C)
1-F, 2-T

D)
1-F, 2-F

Q.8
The types of probabilities under statistical
dependence are:
1. Independent
2. Joint
3. Marginal

A)
1 and 2

B)
1 and 3

C)
2 and 3

D)
1, 2 and 3

Q.9
Index Numbers based on Variables are:
a. Price Index
b. Quantity Index
c. Value Index
d. Production Index
e. Cost of Living Index
f. Wholesale Price Index

A)
a, b, e and f

B)
c, d, e and f

C)
a, b, c and d

D)
All of the above

Q.10
The various measures of variations which are in
common use are:
1. Range
2. Quartile Deviation
3. Standard Deviation
4. Mean Deviation
5. Mode

A)
1, 2, 3, 4

B)
1, 3, 4, 5

C)
2, 3, 4, 5

D)
1, 2, 3, 5

Q.11
State the True points with respect to Standard
Error of Estimate
1. The standard error of estimates helps to measure the
accuracy of the estimated figures in regression analysis
2. If the value of the standard error of estimate is small, <

A)
Only 1

B)
1 and 2

C)
2 and 3

D)
1, 2 and 3

Q.12
The merits of Modern Econometric Methods are:
1. Accurate and reliable results are obtained under this
method
2. Easy to construct growth model for every business
activity
3. Explains in detail and in quantitative terms the way in

A)
1 and 2

B)
2 and 3

C)
1 and 3

D)
1, 2 and 3

Q.13
The assumptions used in Testing of Hypothesis are:
1. Use sample results to decide whether to use a twotailed,
upper- tailed, or lower-tailed test
2. Before any data are collected, the form of the test is
determined by what the decision ma

A)
Only 1

B)
Only 2

C)
1 and 2

D)
None of the above

Q.14
IIM wants to conduct a survey of the annual
earnings of its graduates in international placements. It
knows from the past experience that the standard
deviation of its population of students is $1500. How
large a sample size should be take

A)
32.1

B)
33.4

C)
33.6

D)
34.6

Q.15
State the True points with regards to Random
Sampling:
1. Systematic sampling, stratified sampling, and cluster
sampling attempt to approximate simple random
sampling
2. The principles of simple random sampling are the
foundation f

A)
1-T, 2-T

B)
1-T, 2-F

C)
1-F, 2-T

D)
1-F, 2-F

Q.16
Match the Sets
Set A
1. Positive Correlation,
2. Simple Correlation,
3. Partial and Multiple Correlations
4. Linear Correlation
Set B
a. Relationship between two variables are studied
b. Relationship between three or more v

A)
1-a, 2-b, 3-c, 4-d

B)
1-d, 2-a, 3-b, 4-c

C)
1-c, 2-a, 3-b, 4-d

D)
1-d, 2-c, 3-a, 4-b

Q.17
Write the following steps of solving the x2 problems
in proper order:
1. Divide the values obtained in the above step by the
respective expected frequency and add all the values to
get the value according to the formula
2. Take the dif

A)
1, 2, 3

B)
2, 3, 1

C)
3, 2, 1

D)
1, 3, 2

Q.18
Calculate Mean Deviation from median.
Number of T.V. sets sold: 18, 16, 16, 19, 12, 14, 20

A)
2.143

B)
2.431

C)
2.453

D)
2.521

Q.19
The merits of Specific Historical Analogy are:
1. It is an easy method
2. Forecasting will be more reliable
3. Forecasting is made on a more scientific method

A)
1 and 2

B)
2 and 3

C)
1 and 3

D)
1, 2 and 3

Q.20
In case of continuous frequency distribution, in the
median formula, c and m stand for _____

A)
Cumulative Frequency, Median Class

B)
Cumulative Frequency, Cumulative Frequency corresponding to the class preceding the median class

C)
Width of the Median Class, Cumulative Frequency corresponding to the class preceding the median class

D)
Width of the Median Class, Median Class

Q.21
A _____ is a characteristic of a sample; a _____ is a
characteristic of a population

A)
Population, Parameter

B)
Population, Sample

C)
Parameter, Statistic

D)
Statistic, Parameter

Q.22
The following are the number of children for 20
couples. Find the mode.
No. of children per couple: 2 3 6 3 4 0 5 2 2 4 3 2 1 0 4
2 2 1 1 3

A)
1

B)
2

C)
3

D)
4

Q.23
Match the Sets
Set A
1. Secular Trend
2. Cyclic Fluctuations
3. Seasonal Fluctuations
Set B
a. How the series has been moving in the past and what
its future course is likely to be over a long period
b. Whether the business

A)
1-a, 2-b, 3-c

B)
1-b, 2-a, 3-c

C)
1-c, 2-a, 3-b

D)
1-c, 2-b, 3-a

Q.24
In the Method of Moving Averages, when the
period is even, the following are the steps. Arrange
them in proper order.
1. Compute 4-yearly moving totals and place them at
the centre of time span. The four-yearly moving totals
are compu

A)
5, 3, 1, 2, 4

B)
3, 5, 1, 2, 4

C)
1, 3, 5, 4, 2

D)
1, 2, 3, 4, 5

Q.25
The mean and the median of a slightly skew
distribution are 12 cms. and 12.7 cms. respectively. Find
the mode of the distribution.

A)
14

B)
14.01

C)
14.1

D)
14.2

Q.26
Match the Sets
Set A
1. Quantitative classification
2. Qualitative classification
3. Spatial classification
4. Temporal classification
Set B
a. Classification with regard to attribute
b. Geographical classification
c. C

A)
1-a, 2-b, 3-c, 4-d

B)
1-d, 2-a, 3-b, 4-c

C)
1-c, 2-a, 3-b, 4-d

D)
1-d, 2-c, 3-a, 4-b

Q.27
Value Index Numbers
1. Are not weighted
2. Do not take into account either the price or the
quantity
3. Are not very popular

A)
1

B)
2 and 3

C)
1, 2 and 3

D)
None of the above

Q.28
State the True point with respect to diagrammatic
way to illustrate probability concepts
1. We use a pictorial representation called a Venn
diagram, after the English mathematician John Venn
2. In these diagrams, the part of a sample space

A)
1 and 2

B)
1 and 3

C)
2 and 3

D)
1, 2 and 3

Q.29
State the True points with regards to Testing of
Hypothesis
1. The difference between the hypothesized population
parameter and the actual statistic is more often neither
so large that we automatically reject our hypothesis nor
so smal

A)
1-T, 2-T

B)
1-T, 2-F

C)
1-F, 2-T

D)
1-F, 2-F

Q.30
Arrange the steps of Execution of the Survey in
order of occurrence:
i) Collection of data
ii) Scrutiny, editing and presentation of data
iii) Analysis of data
iv) Interpretation of analyzed data

A)
1, 2, 3, 4

B)
1, 3, 2, 4

C)
3, 4, 1, 2

D)
3, 4, 2, 1

Q.31
Estimates about a population are:
1. Point estimate
2. Sample estimate
3. Interval estimate

A)
1 and 2

B)
2 and 3

C)
1 and 3

D)
1, 2 and 3

Q.32
The mean of marks scored by 30 girls of a class is
44%. The mean for 50 boys is 42%. Find the mean for
the whole class.

A)
42.25%

B)
42.75%

C)
43.25%

D)
43.75%

Q.33
The types of Correlation are:
a. Simple correlation
b. Partial correlation
c. Multiple correlation

A)
a and b

B)
b and c

C)
a and c

D)
a, b and c

Q.34
Weighted Index Numbers can be divided into:
1. Simple Aggregative Method
2. Simple Average of Relatives Method
3. Weighted Aggregative Method
4. Weighted Average of Relatives Method

A)
1 and 2

B)
3 and 4

C)
1 and 3

D)
2 and 4

Q.35
A small town has 20 textile companies of the same
size. All the companies are experiencing excessive labour
turnover. It has been found that the SD of the turn over
is 75 employees. If a sample of 5 companies is taken,
find the standard er

A)
28.7

B)
29.8

C)
30.3

D)
31.2

Q.36
Probability distributions are classified as either _____
or _____

A)
Discrete, Continuous

B)
Joint, Marginal

C)
Fixed, Variable

D)
Normal, Observed

Q.37
State the True points in the steps of Indirect
Personal Interview:
1. In this method, the investigator does not contact the
units directly
2. This method is costly; it consumes much time and
labour
3. In this method, there is no sc

A)
2, 3 and 4

B)
1, 2 and 4

C)
1, 3 and 4

D)
1, 2, 3 and 4


PART C
Q.1
The various methods of studying correlation are:
a. Scatter Diagram Method
b. Graphic Method
c. Karl Pearson’s Coefficient of Correlation
d. Concurrent Deviation Method
e. Multiple Regression Method
f. Method of Least Squares

A)
a, b, c, d and e

B)
b, c, d, e and f

C)
a, b, c, d and f

D)
All of the above

Q.2
The Merits of Arithmetic Mean are:
1. It is rigidly defined
2. The logic behind its computation can be easily
understood
3. It can be easily adopted for further statistical analysis
4. It is based on all the values
5. It is more st

A)
Except 3

B)
Except 3 and 6

C)
Except 6

D)
All of the above

Q.3
Assume that we have one box containing 10 balls
distributed as follows:
3 – Colored and Dotted
1 – Colored and Striped
2 – Gray and Dotted
4 – Gray and Striped
What is P(D/G), P(S/G), P(G/D) and P(C/D)?

A)
2/3, 1/3, 2/5, 3/5

B)
1/3, 2/3, 3/5, 2/5

C)
1/3, 2/3, 2/5, 1/5

D)
1/3, 2/3, 2/5, 3/5

Q.4
The underlying assumptions for the study of
analysis of variance are:
1. Each of the samples is a simple random sample
2. Population from which the samples are selected are
independently distributed
3. Each of the samples is independen

A)
2, 3, 4, 6

B)
1, 3, 4, 5

C)
2, 3, 4, 6

D)
1, 2, 4, 5

Q.5
A bank calculates that its individual savings
accounts are normally distributed with a mean of Rs.
2,000 and a standard deviation of Rs. 600. If the bank
takes a random sample of 100 accounts, what is the
probability that the sample mean w

A)
0.4525

B)
0.2967

C)
0.7492

D)
0.83

Q.6
State the True points in comparison of t and z
tables
1. The t table is more compact and shows areas and t
values for only a few percentages
2. The t table focuses on the chance that the population
parameter being estimated will fall w

A)
1 and 3

B)
2 and 3

C)
2 and 4

D)
All of the above

Q.7
General principles should be considered for Drafting
Questionnaire are:
1. The number of questions should be as less as possible
2. Questions should be short and simple
3. Questions should be such that the answers to them
are short <br

A)
1, 2, 3, 4 and 7

B)
2, 3, 4, 5 and 7

C)
2, 3, 5, 6 and 7

D)
All of the above

Q.8
The Characteristics of Business Forecasting are:
1. Based on past and present conditions
2. Based on mathematical and statistical methods
3. Period
4. Estimation of future
5. Scope

A)
Except 3

B)
Except 4

C)
Except 2

D)
All of the above

Q.9
Match the Sets
Set A
1. Population
2. Sample
Set B
a. Collection of items being considered
b. Parameters
c. Symbols: N, σ, P
d. Part or portion of the population chosen for study
e. Statistics
f. Symbols: n, , s

A)
1-a,b,c ; 2-d,e,f

B)
1-a,c,e ; 2-b,d,f

C)
1-a,b,f ; 2-d,e,c

D)
1-d,e,f ; 2-a,b,c

Q.10
The Utilities of Consumer Price Index Numbers are:
1. They are only approximate indicators of the relative
level of phenomenon
2. It is useful to measure the change in purchasing
power of currency, real income etc.
3. It helps the gove

A)
3, 4, 5, 6 and 7

B)
2, 3, 5, 6 and 7

C)
1, 2, 3, 5 and 7

D)
All of the above

Q.11
For the following data, find the quartile deviation
and the coefficient of quartile deviation.
No. of fruits per basket: 36 43 30 37 38 35 29 38 35 32
35 36

A)
32.75, 32.75

B)
32.75, 37.75

C)
37.75, 32.75

D)
37.75, 37.75

Q.12
The criteria of a good estimator are:
1. Unbiasedness
2. Efficiency
3. Consistency
4. Sufficiency

A)
1, 2 and 3

B)
2, 3 and 4

C)
1, 3 and 4

D)
All of the above

Q.13
The Merits of Moving Averages Method are:
1. This method is simple
2. This method is objective in the sense that any body
working on a problem with this method will get the
same results
3. This method is used for determining seasonal,

A)
3, 4, 5, 6 and 7

B)
2, 3, 5, 6 and 7

C)
1, 2, 3, 5 and 7

D)
All of the above

Q.14
The important measures for Central Tendency are:
1. Arithmetic Mean
2. Median
3. Mode
4. Geometric Mean
5. Harmonic Mean

A)
1, 2 and 3

B)
1, 2, 3 and 4

C)
2, 3, 4 and 5

D)
All of the above

Q.15
The Phases of Business Cycle are:
1. Prosperity
2. Accept
3. Depression
4. Improvement

A)
Except 3

B)
Except 4

C)
Except 2

D)
All of the above

Q.16
Take an example of the number of vehicles passing
through a tollbooth at rush hour. If we divide the rush
hour into periods of one second each, which of the
following statements will we find as true?
1. The probability that exactly one veh

A)
1, 2, 4

B)
2, 3, 4

C)
1, 2, 3

D)
All of the above

Q.17
The population of a city increase at the rates 18%
and 8% in two successive years. In the next two
successive years, it decreased at the rates 5% and 4%.
Find the average rate of growth.

A)
3.60%

B)
3.70%

C)
3.80%

D)
3.90%

Q.18
The characteristics of Statistics are:
1. Statistics means an average of facts
2. Statistics are affected to a marked extent by
multiplicity of causes
3. Statistics are numerically expressed
4. Statistics are enumerated or estimated ac

A)
1, 2, 3, 4 and 7

B)
2, 3, 4, 5 and 7

C)
2, 3, 5, 6 and 7

D)
All of the above

Q.19
The Main Advantages of Business Forecasting are:
1. Helpful in increasing profit and reduction in losses
2. Management decisions
3. Useful to administration
4. Basis for capital market
5. Useful in controlling the business cycles
6

A)
Except 5

B)
Except 5 and 8

C)
Except 8

D)
All of the above

Q.20
The probabilities of three events, A, B & C, occurring are
P(A) = 0.35, P(B) = 0.45 and P(C) = 0.2. Assuming that
A, B and C has occurred the probabilities of another
event X occurring are: P(X/A) = 0.8, P(X/B) = 0.65 and
P(X/C) = 0.3. <br

A)
0.4427, 0.4625, 0.0949, 0.6325

B)
0.6325, 0.4427, 0.4625, 0.0949

C)
0.4427, 0.6325, 0.4625, 0.0949

D)
0.4427, 0.4625, 0.6325, 0.0949

Q.21
Which of the following are the examples of
published sources of secondary data?
1. Reports and publications of Central and State
Government departments
2. Reports and publications of International bodies such
as U. N. O., l. M. F., etc

A)
1, 2, 3, 4

B)
2, 3, 4, 5

C)
3, 4, 5, 6

D)
All of the above

Q.22
Classify the below examples into Classical (C),
Relative Frequency (RF) or Subjective (S)
1. The probability of scoring a penalty shot in hockey is
0.47
2. The probability that the current minister will resign is
0.85
3. The probab

A)
RF, RF, C, RF, S

B)
C, S, S, RF, S

C)
RF, S, C, RF, S

D)
S, RF, C, C, S

Q.23
The characteristics of x2 tests are:
1. x2 test is based on parameters
2. It’s a non-parametric test where no parameters
regarding the rigidity of population or populations are
required
3. Additive property is also found in x2 test <br

A)
2, 3, 4, 5, 6

B)
1, 3, 4, 5, 6

C)
2, 3 and 6

D)
1, 4 and 5

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