Hall Ticket No Question Paper Code: CMB005
INSTITUTE OF AERONAUTICAL ENGINEERING
(Autonomous)
MBA I Semester End Examinations (Regular) February, 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. "Statistics helps to predict future course of action in business" Substantiate.
Describe the characteristics of statistics in Plural sense.
2. Describe the need for collecting data in business statistics .
State any four Management applications of statistics with one example each.
UNIT II
3. The table 1 shows the number of skilled and unskilled operators in two small cities.
Table 1
Category
City A City B
No Wage/Hours No Wage/Hours
Skilled 150 180 350 175
Unskilled 850 130 650 125
Compute average hourly wage for each community and Comment on the difference in the daily
wage the average wage between the cities
Compute Karlpearson's co-efficient of skewness and comment for following data given in Table

Table 2
Size 1 2 3 4 5 6 7
Frequency 10 18 30 25 12 3 2
4. Compute the Geometric Mean for the following data given in Table
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Table 3
Marks 0-10 10-20 20-30 30-40 40-50
No of students 5 7 15 25 8
Given the following distribution shown in Table
Table 4
Class interval 0-15 15-30 30-45 45-60 6-75 75-90 90-105
Frequency 8 26 30 45 20 17 4
Compute Inter quartile range, Quartile deviation and Coefficient of Quartile deviation.
UNIT III
5. Describe the following data given in Table 5 using histogram.
Table 5
Variable 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
Frequency 5 15 20 25 35 30 15 10
In a sample study about coffee in two towns, the following information was obtained; Town
Female were Total coffee drinkers are 45% and male coffee drinkers are 20% Town
Males were Male non coffee drinkers were 30% and female coffee drinkers were 15%.Select
a suitable data representation table and represent the same .
6. Describe with an example derived tables used in practice
Draw a suitable diagram to represent the following information given in Table 6.
Table 6
Selling Price/ Unit Quantity sold
Unit
Wagess Materials Misc. Total
Factory X 400 20 3200 2400 1600 7200
Factory Y 600 30 6000 6000 9000 21000
UNIT IV
7. Ten cartoons are taken at random from an automatic filling machine. The mean net weight
of the 10 cartoons is 11.8 KG and standard deviation is 0.15 kg. Does the sample mean differ
significantly from the intended weight of 12 kg? given significance is 2.26.
The number of absenteeism per month in one of the company for past Ten month are 12, 20,
14, 10, 15, 9 and 4 members per month. Is the there a consistency in conditions prevailing
to absenteeism using chisquare test.
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8. Write standard one way ANOVA Table format and explain the contents.
Find the correlation between Sales and advertisement expenses incurred during the last 10
months, data is given in Table 7.
Table 7
Advertisement 39 65 62 90 82 75 25 98 36 78
Sales 47 53 58 86 62 68 60 91 51 84
UNIT V
9. Find the fisher's index for following data given in Table 8.
Table 8
Commodities
Base year Current year
Price per unit(Rs) Expenditure(Rs) Price per unit(Rs) Expenditure(Rs)
A 2 40 5 75
B 4 16 8 40
C 1 10 2 24
D 5 25 10 60
The following results were obtained during the computation of fisher's index.
Ep0q0=1040, Ep0q1=1056, Ep1q0=1420, Ep1q1=1448 Compute the Fisher's index, Factor reversal
test and Time reversal test
10. From the following data given in Table find the regression equation X on Y
Table 9
Sales(X) 91 97 108 121 67 124 51 73 111 57
Purchase(Y) 71 75 69 97 70 91 39 61 80 47
Write short note on
i. Graphic method of Trend Measurement
ii. Method of Moving Averages
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