Hall Ticket No Question Paper Code: CMB005
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
M.Tech I Semester End Examinations (Supplementary) July, 2017
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 origin and development of statistics.
Explain the qualities of a statistician .Discuss the significance of statistical investigation.
2. Examine the various functions of statistics and limitations of statistics.
Explain the scope of statistics .Explain the managerial implications of statistics.
UNIT II
3. Calculate the median and compute the mean deviation from the median.
Table 1
Class frequency
0-10 5
10-20 8
20-30 12
30-40 15
40-50 20
50-60 14
60-70 12
70-80 6
Compute the quartile deviation and its coefficient from the Table 2.
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Table 2
Class frequency
0-100 12
100-200 18
200-300 35
300-400 42
400-500 50
500-600 45
600-700 20
700-800 8
4. Calculate Bowley's coefficient of skewness for the data given in Table 3
Table 3
CI f
Below 99 1
100-109 14
110-119 66
120-129 122
130-139 145
140-149 121
150-159 65
160-169 34
170-179 12
180-189 5
190-199 2
200 and over 2
The median of the following distribution is known to be 25. Find the missing values in Table 4.

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Table 4
CI f
0-10 3
10-20 X
20-30 5
30-40 Y
40-50 2
Total 20
UNIT III
5. Differentiate between classification and tabulation and explain the different types of classification.

Represent the data given in Table 5 by means of a histogram.
Table 5
Monthly Income No:of workers
3000-3500 7
3500-4000 19
4000-4500 27
4500-5000 15
5000-6000 12
6000-8000 12
8000-10000 8
6. Explain the various types of one dimensional diagrams.
Explain the general rules for constructing diagrams.
UNIT IV
7. Explain the assumptions, properties and applications of t-test.
Calculate the Spearman's rank correlation coefficient between the following 2 series shown in
Table 6.
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Table 6
Series A Series B
57 113
59 117
62 126
63 126
64 130
65 129
55 111
58 116
57 112
8. Differentiate between Karl Pearson's correlation co-efficient of Spearman's rank correlation.[7M]
Perform a two way ANOVA on the data given in Table
Table 7
Plots of land Treatment Treatment Treatment Treatment
A B C D
I 38 40 41 39
II 45 42 49 36
III 40 38 42 42
UNIT V
9. Explain the characteristics and uses of index numbers.
Fit a straight line to the following data given in Table 8 by least squares method.
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Table 8
x y
0 1
1 1.8
2 3.3
3 4.5
4 6.3
10. Explain the significance of trend analysis and discuss the methods of estimating trend.
For the following data given in Table 9 obtain the 2 regression equations.
Table 9
X 6 2 10 4 8
Y 9 11 5 8 7