Hall Ticket No Question Paper Code: CMBB05
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
MBA I Semester End Examinations (Supplementary) December, 2018
Regulation: IARE-R18
STATISTICS FOR MANAGEMENT
Time: 3 Hours Max Marks: 70
Answer ONE Question from each Unit
All Questions Carry Equal Marks
All parts of the question must be answered in one place only
UNIT I
1. Define Statistics and explain the characteristics of Statistics.

Write the limitations of statistics and its branches of study.
2. Write Short notes on:
i. Descriptive Statistics
ii. Inferential Statistics
What are all the ways Statistics can be misused?
UNIT II
3. Enlist the characteristics of Mean and Median.
The following Table 1 gives some frequency data, find Mode using bimodal series.
Table 1
Size of Item Frequency
10-20 10
20-30 18
30-40 25
40-50 26
50-60 17
60-70 4
4. What are the properties of good Dispersion?
From the Table calculate the measure of Skewness using the mean, Median and Standard
Deviation.
Page 1 of 4
Table 2
X 10 20 20 30 30 40 40 50 50 60 60 70 70 80
f 18 30 40 55 38 20 16
UNIT III
5. Discuss the general rules for drawing graphs and diagram.
Construct a bargraph to compare the growth of sex-ratio in different state from the Table 3.

Table 3
States UT 1961 1971 1981 1991 2001
Delhi 785 801 808 827 821
Haryana 868 867 870 860 846
Uttar Pradesh 907 876 882 876 898
6. Write short notes on:
i. Histogram
ii. Pie Chart
iii. Scatter Diagram
Draw a multiple bar diagram for the following data in table 4.
Table 4
Literacy Rate Year Total Population Male Female
1951 18 27 8
1961 28 40 15
1971 34 45 21
1981 43 56 29
1991 52 64 39
2001 64 75 54
UNIT IV
7. List out the procedure in one way ANOVA.
A company keeps a records of accidents as in Table 5. During a recent safety review, a random
sample of 60 accidents was selected by the day of the week on which they occurred.T Test whether
there is any evidence that accidents are most likely on some days than other.

Page 2 of 4
Table 5
Day MON TUE WED THU FRI
No of accidents 8 12 9 14 17
8. Calculate the Rank Coefficient of Correlation from the following data given in Table
Table 6
X 75 88 95 70 60 80 81 50
Y 120 134 150 115 110 140 142 100
The data on price and quantity purchased relating to a commodity for 5 months is given below
in Table

Table 7
Month January February March April May
Prices(Rs) 10 10 11 12 12
Quantity(Kg) 5 6 4 3 3
Find the Pearson Correlation Coefficient between prices and quantity and comment on its sign
and magnitude.
UNIT V
9. Explain the characteristics and uses of index number.
The following Table 8 shows the number of motor registrations in a certain territory for a term
of 5 years and the sale of motor tyres by a firm in that territory for the same period. Find the
Regression equation to estimate the sale of tyres when the motor registration is known. Estimate
sale of tyres when registration is 850.
Table 8
Year Motor Registrations No of Tyres sold
1 600 1250
2 630 1100
3 720 1300
4 750 1350
5 800 1500

Page 3 of 4
10. Below in Table 9 are the figures of production (in thousand quintals) of a sugar factory:
Table 9
Year 1992 1993 1994 1995 1996 1997 1998
Production 80 90 92 83 94 99 92
i. Fit a straight line trend to these figures.
ii. Plot these figures on a graph and show the trend line.
iii. Estimate the production in 2001.
Given are the following price-quantity data in Table 10, with price quoted in Rs per kg and
production in qtls.
Table 10
Item 1980 1985
Price Production Price Production
Fish 15 500 20 600
Mutton 18 590 23 640
Chicken 23 450 24 500
Find
i. Laspeyre's Price Index for 1985, using 1980 as the base
ii. Laspeyre's Quantity Index for 1985, using 1980 as the base
iii. Paasche's Price Index for 1985, using 1980 as the base
iv. Paasche's Quantity Index for 1985, using 1980 as the base
Page 4 of 4