Hall Ticket No Question Paper Code: CMB005
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
MBA I Semester End Examinations (Regular) Regular, 2018
Regulation: IARE-R16
STATISTICS FOR MANAGEMENT
(Master of Business Administration)
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. Explain the application of statistics in business and management.
Explain the functions and limitations of statistics.
2. Explain the stages involved in a statistical investigation.
Define statistics. Explain distrust of statistics
UNIT II
3. Calculate the mode of the following distribution by the grouping method.
Table 1
Weight No of students
Below 100 4
Below 110 6
Below 120 24
Below 130 46
Below 140 67
Below 150 86
Below 160 96
Below 170 99
Below 180 100
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The Table 2 shows the distribution of weights of 60 individuals. If the mean weight is 110.917,
find the missing frequencies
Table 2
Weights No of people
93-97 2
98-102 5
103-107 12
108-112
113-117 14
118-122
123-127 3
128-132 1
Total 60
4. Calculate the Karl Pearson's coefficient of skewness from Table 3.
Table 3
X F
12.5 28
17.5 42
22.5 54
27.5 108
32.5 129
37.5 61
42.5 45
47.5 33
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Compute the range, quartile deviation coefficient of quartile deviation from Table 4.

Table 4
Wages(Rs. Per day) F
Less than 35 14
35-37 62
38-40 99
41-43 18
Over 43 7
UNIT III
5. Explain the different types of 2 dimensional diagrams.
Draw a histogram and frequency polygon for the data shown in Table 5.
Table 5
Profit No of shops
0-100 12
100-200 18
200-300 27
300-400 20
400-500 17
500-600 6
6. Discuss the advantages and limitations of diagrammatic presentation of statistical data.
Represent the data by a subdivided bar diagram
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Table 6
Year Marine Inland Total
1998-99 26.96 26.02 52.98
1999-00 28.52 28.23 56.75
2000-01 28.11 28.45 56.56
2001-02 28.30 31.20 59.56
2002-03 29.90 32.10 62.00
2003-04 29.41 34.58 63.99
2004-05 27.78 35.26 63.04
2005-06 28.16 37.55 65.71
2006-07 30.24 38.45 68.69
UNIT IV
7. Explain the significance of ANOVA and explain the techniques for one way and two way classifications.

Calculate the Karl Pearson's coefficient of correlation and interpret the value for series shown in
Table 7.
Table 7
Price(Rs) Demand(Kgs)
10 420
11 410
12 400
13 310
14 280
15 260
16 240
17 210
18 210
19 200
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8. Explain scatter diagrams, Karl Pearson's correlation and Spearman's rank correlation .
A certain drug is claimed to be effective I curing cold .In an experiment of 500 persons with cold,
half of them were given the drug and the other half were given sugar pills.The patient's reaction
to the treatment are recorded as shown in Table
Table 8
Helped Harmed No effect Total
Drug 150 30 70 250
Sugar Pills 130 40 80 250
Total 280 70 150 500
Can it be concluded that there is a significant difference in the effect of the drug and sugar pills.
UNIT V
9. Explain the properties of regression co-efficients .Explain the calculation procedure of regression.

For the data given in Table 9. Calculate the index number by taking 200 as the base year.pg

Table 9
Year 2000 2001 2002 2003 2004 2005 2006 2007 2008
Price of commodity X 4 5 6 7 8 10 9 10 11
10. Explain the components of time series.
Compute the 2 regression co efficients equations and the correlation coefficient for data shown
in Table 10.
Table 10
X Y
7 6
4 5
8 9
6 8
5 2
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