Module I : Introduction to Statistics

 

Which fields among the following requires the use of statistics necessarily?

Select one:

1. medicine
2. agriculture
3. transportation
4. all of these

 

Number of employees working in a company is an example of which type of data?

Select one:

1. ordinal
2. discreet
3. categorical
4. continuous

 

Inferential statistics can be defined as a part of statistics related to _______.

Select one:

1. summarising data
2. research on data
3. sorting data
4. organising data

 

 

Measures of central tendency are part of which type of statistics?

Select one:

1. both of these
2. descriptive
3. inferential
4. none of these

 

Percentage bar diagrams are used when _______.

Select one:

1. relative proportions of components are important
2. total magnitude of the given variable is to be divided into various parts
3. both of these
4. none of these

 

Qualitative data can be further categorised into which types?

Select one:

1. ordinal
2. binary
3. all of these
4. nominal

 

Histogram visualizes the distribution of data over a continuous interval or certain time period in the form of _____.

Select one:

1. lines
2. dots
3. curves
4. bars

 

Data collected on weight of students in a class of 50 students isa _________ type of data.

Select one:

1. discrete
2. continuous
3. ordinal
4. nominal

 

________ is facilitated by Statistics.

Select one:

1. comparison
2. all of these
3. data representation
4. easy interpretation

 

Line graph is used to represent _______.

Select one:

1. all of these
2. categorical data
3. binary data
4. time series

 

Which amongst the following are the characteristics of Histogram?

Select one:

1. Histograms help give an estimate as to where values are concentrated and what the extremes are
2. all of these
3. Each bar in a histogram represents the tabulated frequency at each interval
4. It visualises the distribution of data over a continuous interval or certain time period

Which amongst the following studies “whole-part” relationship?

Select one:

1. None of these
2. Frequency Polygon
3. Frequency Curve
4. Histogram

 

List of children per family in a society as2,3,0,1,2,1,12,0,3,1,2,1,2,2,1,1,2,0, is an example of _______ data.

Select one:

1. nominal
2. ordinal
3. ungrouped
4. grouped

 

Which amongst the following are the characteristics of Bar Diagrams.

Select one:

1. Categories are represented on one axis and a discrete

value on the other

1. It may run horizontally as well as vertically
2. all of these
3. The longer the length of the bar, the greater is its value

 

For a continuous data distribution, 10-20 with frequency 10, 20-30 with frequency 24 and 30-40 with frequency 43, at which point less than cumulative o give will start.

Select one:

1. 53
2. 77
3. 24
4. 10

 

For a continuous data distribution, 10-20 with frequency 10, 20-30 with frequency 24 and 30-40 with frequency 43, at which point more than cumulative o give will start.

Select one:

1. 24
2. 77
3. 10
4. 53

 

For a continuous data distribution, 10-20 with frequency 10, 20-30 with frequency 24 and 30-40 with frequency 43, at which point more than cumulative o give will end.

Select one:

1. 77
2. 10
3. 24
4. 53

 

Module II : Measure of Central Tendency

 

 

The data set 32,41,52,11,53,74,21,44,26,75, has _______ number of modes.

Select one:

1. 2
2. none of these
3. 1
4. 3

 

Measures of central tendency are part of which type of statistics?

Select one:

1. both of these
2. inferential
3. none of these
4. descriptive

 

________ can be considered as the mid point of the distribution.

Select one:

1. mean
2. mode
3. median
4. none of these

 

For an individual series, mean is _______ divided by________

Select one:

1. Sum of observations, number of observations
2. Product of observations, number of observations
3. number of observations, sum of observations
4. number of observations, Product of observations

 

If a distribution is negatively skewed, then ________

Select one:

1. mean < median < mode
2. median > mean > mode
3. mean = mode = median
4. mean > median > mode

 

Mean of discrete series can also be named as ________

Select one:

1. none of these
2. harmonic average
3. geometric average
4. weighted average

 

 

If a distribution is positively skewed, then ________

Select one:

1. mean > median > mode
2. median > mean > mode
3. mean < median < mode
4. mean = mode = median

 

 

________ can be considered as balancing point of the data.

Select one:

1. skewness
2. mean
3. mode
4. all of these

 

 

The most frequent data value is called ______

Select one:

1. mean
2. median
3. variance
4. mode

If a distribution is symmetrical, then ________

Select one:

1. median > mean > mode
2. mean < median < mode
3. mean > median > mode
4. mean = mode = median

 

 

Median as quartiles can be termed as _____

Select one:

1. Q4
2. Q1
3. Q2
4. Q3

 

 

For finding median in continuous series, which amongst the following are of importance?

Select one:

1. cumulative frequency preceding the median class
2. Particular frequency of the median class
3. Lower limit of the median class
4. all of these

 

Median for individual series in ascending order, where number of observations is even can be found by finding _____.

Select one:

1. mean of first and second last observation
2. mean of first and last observation
3. mean of seconds and last observation
4. mean of middle two observation

 

In continuous type of series, for finding mean, which amongst the following is considered as X variable value?

Select one:

1. none of these
2. upper limit of the interval
3. mid point of the interval
4. lower limit of the interval

 

For the discrete series given as, X variable values - 32 with frequemcy 2, 37 with frequency 5, 46 with frequency 3 and 48with frequency 9, mode is _______

Select one:

1. 48
2. 37
3. 9
4. 5

 

 

For the discrete series given as, X variable values - 32 with frequemcy 2, 37 with frequency 5, 46 with frequency 3 and 48with frequency 9, median is _______

Select one:

1. 48
2. 32
3. 46
4. 37

 

 

For the discrete series given as, X variable values - 32 with frequency 2, 37 with frequency 5, 46 with frequency 3 and 48with frequency 9, mean is _______

Select one:

1. 34
2. 58
3. 19
4. 43

 

 

Module III: Measure of Dispersion

 

 

While finding mean deviation from mean for unclassified data, the sum of deviations is divided by the ____ .

Select one:

1. The number of observations
2. The sum of observations
3. The sum of frequencies
4. none of these

 

 

Coefficient of variation is ______ measure of dispersion.

Select one:

1. absolute
2. relative
3. Both of these
4. none of these

 

Which amongst the following is a property of a good measure of dispersion?

Select one:

1. Simple to understand and easy to compute
2. Rigidly defined
3. Based on each individual item of the distribution
4. all of these

 

_________measures of dispersion are expressed in the same units in which the original data is expressed.

Select one:

1. absolute
2. relative
3. both of these
4. none of these

 

In the concept of Inter quartile range (IQR), it divides the whole data set into ____ parts.

Select one:

1. 1
2. 2
3. 3
4. 4

 

_______ measure of dispersion facilitates comparison.

Select one:

1. absolute
2. relative
3. both of these
4. none of these

 

Dispersion can also be defined as degree of _____

Select one:

1. spread
2. diversity
3. slatterns
4. all of these

 

 

_____ is a measure of difference between the observed value of a variable and some other value.

Select one:

1. Dispersion
2. Deviation
3. Mean Deviation
4. none of these

 

In a data distribution, standard deviation value is _______ of variance value.

Select one:

1. square
2. square root
3. cube
4. cube root

 

Variance is the average of _________

Select one:

1. All deviations
2. squared diviations
3. rooted deviations
4. absolute deviations

 

 

Standard deviation is a special form of average deviation from the _______.

Select one:

1. mean
2. median
3. mode
4. IQR

 

Mean deviation from mean is _______ measure of dispersion.

Select one:

1. absolute
2. relative
3. both of these
4. None of these

 

 

In the concept of Inter quartile range, Q1 is at the position _____, where n is the total number of observations.

Select one:

1. n/4
2. 2n/4
3. 3n/4
4. 4n/4

 

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50with frequency 1, the value of Q_3 is ________.

Select one:

1. 34
2. 30
3. 35.7
4. 32.6

 

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50with frequency 1, the value of Q_1 is ________.

Select one:

10. 10.5
11. 22
12. 26
13. 24

 

For a continuous data distribution, 10-20 with frequency 3, 20-30 with frequency 5, 30-40 with frequency 7and 40-50with frequency 1, the value of quartile deviation is ________.

Select one:

a.2

6. 6.85
7. 6.32
8. 10

Module IV : Correlation And Regression Analysis

 

 

On the basis of number of variables __________correlation is a type of correlation.

Select one:

1. positive
2. negative
3. partial
4. zero

 

Correlation is denoted by _______

Select one:

1. r
2. ρ
3. both of these
4. none of these

 

If cove (x, y) is positive, then variable x ______ as variable y increase.

Select one:

1. increase
2. decrease
3. remains constant
4. None of these

 

Range of Correlation coefficient is _____.

Select one:

1. minus infinity to plus infinity
2. minus one to plus 1
3. minus one to zero
4. zero to plus one

 

 “If a car increases speed, travel time to a destination decreases”, is an example of _______ correlation.

Select one:

1. Partial
2. Negative
3. Multiple
4. Positive

 

General equation of the regression line x on y is ________.

Select one:

1. (x-x bar)=b _x y (y-y bar)
2. (x-x bar)=b _y x (y-y bar)
3. (x +x bar)=b _x y (y+ y bar)
4. (y-y bar)=b _x y (x-x bar)

 

Regression line equation is in which form of equation?

Select one:

1. intercept form of equation
2. point slope form of equation
3. two point form of equation
4. none of these

 

On the basis of change in proportion, which amongst the following is a type of correlation.

Select one:

1. Simple
2. Multiple
3. Zero
4. none of these

 

If c o v (x ,y) = 0 is zero, then is ______ correlation.

Select one:

1. positive
2. negative
3. zero
4. none of these

 

If co v (x, y) is negative, then variable x ______ as variable y increase.

Select one:

1. increase
2. decrease
3. remains constant
4. None of these

 

Variable of sales dependent upon both advertisement and price variables, can be considered as an examples of ______correlation.

Select one:

1. simple
2. partial
3. multiple
4. zero

 

Which amongst the following is not required to find rank correlation coefficient?

Select one:

1. Difference between ranks
2. Number of items
3. Pearson correlation coefficient
4. All of these

 

Regression coefficient b _y x can be calculated as _____ * [S.D. (y) / S.D. (x)]

Select one:

1. rho
2. sigma
3. phi
4. alpha

 

Variables like Advertisement and Sales which would yield a positive correlation, can be considered as an examples of______ correlation.

Select one:

1. simple
2. b. partial
3. multiple
4. zero

 

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800.Regression equation y on x is ______.

Select one:

1. y=3/4x+1
2. y=4/3x-1
3. y=3/4x-1
4. y=1-3/4x

 

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y). X variable values with corresponding Y variable values can be listed as,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Find the correlation coefficient.

Select one:

1. -0.45
2. 0.29
3. 0.36
4. 0.75

 

Following data refers to the years of service (variable X) put in by seven specialized workers in a factory and their monthly incomes (variable Y) in hundreds of rupees. X variable values with corresponding Y variable values can be list e das,, 11 years of service with income 700, 7 years of service with income 500, 9 years of service with income 300, 5 years of service with income 200, 8 years of service with income 600, 6 years of service with income 400, 10 years of service with income 800. Bases on the regression equation y on x, for 12 years of service in the similar field, what would be there commended salary in hundreds of rupees?

Select one:

1. 600
2. 700
3. 500
4. 800

 

Module V  : Probability Theory and Distributions and Time Series Analysis

 

 

In an experiment of tossing a coin. If A = getting a head and B =getting a tail. Then A and B are _________ events.

Select one:

1. mutually exclusive
2. equally likely
3. exhaustive
4. all of these

 

Increase and decrease noticed in the general trend of any time series is always _________.

Select one:

1. regular
2. linear
3. both of these
4. none of these

 

 

Method of moving average is especially useful in the case of the time series with ________.

Select one:

1. regular seasonal fluctuations
2. regular cyclical movements
3. regular irregular variations
4. all of these

 

Range or scale of probability is ____.

Select one:

1. minus one to plus one
2. zero to one
3. minus one to zero
4. none of these

 

Binomial distribution is symmetrical when ____ .

Select one:

1. p>q
2. p<q
3. p=q
4. p ≠q

 

Events are said to be _______ when one does not occur more often than the others.

Select one:

1. equally likely
2. complementary
3. disjoint
4. mutually exclusive

 

If p represents the probability of success of a player in any game and M represents the sum of money he will receive in case of success Then his expectation = ______.

Select one:

1. p/M
2. p*M
3. p+M
4. p-M

According to empirical rule _____ percentage of data lies between one standard deviation of data.

Select one:

99. 99.7
100. 13.5
101. 68
102. none of these

 

Which component of time series can be considered to be present due to the occurrence of business or trade cycles in the economic world

Select one:

1. seasonal fluctuations
2. cyclical movements
3. irregular variations
4. none of these

 

Normal Distribution is a continuous frequency distribution of_______ range.

Select one:

1. finite
2. infinite
3. both of these
4. none of these

 

 

In which case will the binomial distribution be applied?

Select one:

1. When we have to find the probability of 6 heads in 10 throws of a fair coin
2. When we have to find the probability that 3 out of 10 items produced by a machine, which produces 8 %

defective items on an average, will be defective

1. both of these
2. None of these

 

Which of the following will present a symmetrical graph when plotted?

Select one:

1. B (0.3, 10)
2. B (0.5, 10)
3. B (0.8, 10)
4. B (0.9, 10)

 

In which case amongst the following can we use Poisson Distribution?

Select one:

1. No. of defective screws per box of 100 screws
2. No. of typographical errors per page
3. both of these
4. None of these

 

Total number of items in the sample space of an event of tossing two coins together is _____.

Select one:

1. 2
2. 4
3. 8
4. 16

 

 

A table of 4 students has 1 is senior and 3 juniors. The teacher is going to pick 2 students at random from this group to present homework solutions. Probability that both students selected are juniors is _____.

Select one:

1. 1/3
2. 1/2
3. 1/4
4. 1/6

 

Births in a hospital occur randomly at an average rate of 1.8births per hour. What is the probability of observing 4 births in a given hour at the hospital?

Select one:

1. 0.3628
2. 0.0723
3. 0.7329
4. none of these

 

Regarding a certain normal distribution concerning the income of the individuals we are given that mean = 500 rupees and standard deviation = 100 rupees. Find the possibility that an individual selected at random will belong to the income group R s. 420 to R s. 570.

Select one:

1. 0.183
2. 0.213
3. 0.546
4. none of these

 

 

Assignment 2

 

 

CASE STUDY

A nutritionist need to study the daily protein intake of a client(during 3 week period), present in different food items and the data collected by him is as follows:

32, 21, 12, 43, 16, 48, 56, 24, 40, 45, 34, 11, 43, 33, 25, 34, 55, 32, 22, 20,42

Making 6 class intervals for the range, the length of each interval would approximately be _______.

Select one:

1. 4
2. 10
3. 5
4. 8

 

 

Starting to make the intervals from 10.5 and ending at 58.5,each interval being of length 8 units, how many intervals would exist?

Select one:

1. 7
2. 5
3. 6
4. 4

 

Frequency of second interval 18.5 to 26.5 is _______.

Select one:

1. 1
2. 4
3. 5
4. 3

 

 

Frequency of first interval 10.5 to 18.5 is _______.

Select one:

1. 1
2. 3
3. 5
4. 4

 

Frequency of the last interval 50.5 to 58.5 is _______.

Select one:

1. 4
2. 3
3. 2
4. 5

 

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