AMITY (Assignment)

BBA

Semester 1

Business Statistics

BBA

Semester 1

Business Statistics

Module I : Introduction to Statistics

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

Select one:

- medicine
- agriculture
- transportation
- all of these

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

Select one:

- ordinal
- discreet
- categorical
- continuous

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

Select one:

- summarising data
- research on data
- sorting data
- organising data

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

Select one:

- both of these
- descriptive
- inferential
- none of these

Percentage bar diagrams are used when _______.

Select one:

- relative proportions of components are important
- total magnitude of the given variable is to be divided into various parts
- both of these
- none of these

Qualitative data can be further categorised into which types?

Select one:

- ordinal
- binary
- all of these
- nominal

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

Select one:

- lines
- dots
- curves
- bars

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

Select one:

- discrete
- continuous
- ordinal
- nominal

________ is facilitated by Statistics.

Select one:

- comparison
- all of these
- data representation
- easy interpretation

Line graph is used to represent _______.

Select one:

- all of these
- categorical data
- binary data
- time series

Which amongst the following are the characteristics of Histogram?

Select one:

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

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

Select one:

- None of these
- Frequency Polygon
- Frequency Curve
- 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:

- nominal
- ordinal
- ungrouped
- grouped

Which amongst the following are the characteristics of Bar Diagrams.

Select one:

- Categories are represented on one axis and a discrete

value on the other

- It may run horizontally as well as vertically
- all of these
- 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:

- 53
- 77
- 24
- 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:

- 24
- 77
- 10
- 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:

- 77
- 10
- 24
- 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:

- 2
- none of these
- 1
- 3

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

Select one:

- both of these
- inferential
- none of these
- descriptive

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

Select one:

- mean
- mode
- median
- none of these

For an individual series, mean is _______ divided by________

Select one:

- Sum of observations, number of observations
- Product of observations, number of observations
- number of observations, sum of observations
- number of observations, Product of observations

If a distribution is negatively skewed, then ________

Select one:

- mean < median < mode
- median > mean > mode
- mean = mode = median
- mean > median > mode

Mean of discrete series can also be named as ________

Select one:

- none of these
- harmonic average
- geometric average
- weighted average

If a distribution is positively skewed, then ________

Select one:

- mean > median > mode
- median > mean > mode
- mean < median < mode
- mean = mode = median

________ can be considered as balancing point of the data.

Select one:

- skewness
- mean
- mode
- all of these

The most frequent data value is called ______

Select one:

- mean
- median
- variance
- mode

If a distribution is symmetrical, then ________

Select one:

- median > mean > mode
- mean < median < mode
- mean > median > mode
- mean = mode = median

Median as quartiles can be termed as _____

Select one:

- Q4
- Q1
- Q2
- Q3

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

Select one:

- cumulative frequency preceding the median class
- Particular frequency of the median class
- Lower limit of the median class
- all of these

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

Select one:

- mean of first and second last observation
- mean of first and last observation
- mean of seconds and last observation
- 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:

- none of these
- upper limit of the interval
- mid point of the interval
- 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:

- 48
- 37
- 9
- 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:

- 48
- 32
- 46
- 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:

- 34
- 58
- 19
- 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:

- The number of observations
- The sum of observations
- The sum of frequencies
- none of these

Coefficient of variation is ______ measure of dispersion.

Select one:

- absolute
- relative
- Both of these
- none of these

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

Select one:

- Simple to understand and easy to compute
- Rigidly defined
- Based on each individual item of the distribution
- all of these

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

Select one:

- absolute
- relative
- both of these
- none of these

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

Select one:

- 1
- 2
- 3
- 4

_______ measure of dispersion facilitates comparison.

Select one:

- absolute
- relative
- both of these
- none of these

Dispersion can also be defined as degree of _____

Select one:

- spread
- diversity
- slatterns
- all of these

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

Select one:

- Dispersion
- Deviation
- Mean Deviation
- none of these

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

Select one:

- square
- square root
- cube
- cube root

Variance is the average of _________

Select one:

- All deviations
- squared diviations
- rooted deviations
- absolute deviations

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

Select one:

- mean
- median
- mode
- IQR

Mean deviation from mean is _______ measure of dispersion.

Select one:

- absolute
- relative
- both of these
- 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:

- n/4
- 2n/4
- 3n/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:

- 34
- 30
- 35.7
- 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:

- 10.5
- 22
- 26
- 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

- 6.85
- 6.32
- 10

Module IV : Correlation And Regression Analysis

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

Select one:

- positive
- negative
- partial
- zero

Correlation is denoted by _______

Select one:

- r
- ρ
- both of these
- none of these

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

Select one:

- increase
- decrease
- remains constant
- None of these

Range of Correlation coefficient is _____.

Select one:

- minus infinity to plus infinity
- minus one to plus 1
- minus one to zero
- zero to plus one

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

Select one:

- Partial
- Negative
- Multiple
- Positive

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

Select one:

- (x-x bar)=b _x y (y-y bar)
- (x-x bar)=b _y x (y-y bar)
- (x +x bar)=b _x y (y+ y bar)
- (y-y bar)=b _x y (x-x bar)

Regression line equation is in which form of equation?

Select one:

- intercept form of equation
- point slope form of equation
- two point form of equation
- none of these

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

Select one:

- Simple
- Multiple
- Zero
- none of these

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

Select one:

- positive
- negative
- zero
- none of these

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

Select one:

- increase
- decrease
- remains constant
- None of these

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

Select one:

- simple
- partial
- multiple
- zero

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

Select one:

- Difference between ranks
- Number of items
- Pearson correlation coefficient
- All of these

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

Select one:

- rho
- sigma
- phi
- alpha

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

Select one:

- simple
- b. partial
- multiple
- 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:

- y=3/4x+1
- y=4/3x-1
- y=3/4x-1
- 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:

- -0.45
- 0.29
- 0.36
- 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:

- 600
- 700
- 500
- 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:

- mutually exclusive
- equally likely
- exhaustive
- all of these

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

Select one:

- regular
- linear
- both of these
- none of these

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

Select one:

- regular seasonal fluctuations
- regular cyclical movements
- regular irregular variations
- all of these

Range or scale of probability is ____.

Select one:

- minus one to plus one
- zero to one
- minus one to zero
- none of these

Binomial distribution is symmetrical when ____ .

Select one:

- p>q
- p<q
- p=q
- p ≠q

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

Select one:

- equally likely
- complementary
- disjoint
- 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:

- p/M
- p*M
- p+M
- p-M

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

Select one:

- 99.7
- 13.5
- 68
- 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:

- seasonal fluctuations
- cyclical movements
- irregular variations
- none of these

Normal Distribution is a continuous frequency distribution of_______ range.

Select one:

- finite
- infinite
- both of these
- none of these

In which case will the binomial distribution be applied?

Select one:

- When we have to find the probability of 6 heads in 10 throws of a fair coin
- 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

- both of these
- None of these

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

Select one:

- B (0.3, 10)
- B (0.5, 10)
- B (0.8, 10)
- B (0.9, 10)

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

Select one:

- No. of defective screws per box of 100 screws
- No. of typographical errors per page
- both of these
- None of these

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

Select one:

- 2
- 4
- 8
- 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:

- 1/3
- 1/2
- 1/4
- 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:

- 0.3628
- 0.0723
- 0.7329
- 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:

- 0.183
- 0.213
- 0.546
- 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:

- 4
- 10
- 5
- 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:

- 7
- 5
- 6
- 4

Frequency of second interval 18.5 to 26.5 is _______.

Select one:

- 1
- 4
- 5
- 3

Frequency of first interval 10.5 to 18.5 is _______.

Select one:

- 1
- 3
- 5
- 4

Frequency of the last interval 50.5 to 58.5 is _______.

Select one:

- 4
- 3
- 2
- 5