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Seat No: ……………………………….
Enrollment No: ………………………………
GUJARAT TECHNOLOGICAL UNIVERSITY
MBA (INTEGRATED) SEMESTER 02 EXAMINATION SUMMER 2017
Subject Code: 4120503
Date:11-05-2017
Subject Name: Business Statistics
Time: 10.30 AM TO 01.30 PM
Total Marks: 70
Instructions:
1.
Attempt all questions.
2.
Make suitable assumptions wherever necessary
3.
Figures to the right indicate full marks.
Q.1

Explain following terms with example.
Range Standard Deviation Coefficient of Variation
07
Q.1

A sample of 12 small accounting firms reveals the following numbers of professionals per office.
7 10 9 14 11 8
5 12 8 3 13 6
a. Determines the mean absolute deviation.
b. Determines the variance.
c. Determines the Interquartile Range.
07
Q.2

Write a detailed note on Sampling Techniques.
07
Q.2

Determine the probabilities for the following normal distribution problems
a. 604, σ 56.8, x 635
b. 48, σ 12, x 20
c. 37, σ 4.35, x 35
d. 156, σ 11.4, x 170
07
OR
Q.2

Write a short note on Uniform distribution and Normal Distribution.
07
Q.3

Write a detailed note on Measures of Central Tendency.
07
Q.3

Determine the mode and median of the following numbers.
2 4 8 4 6 2 7 8
4 3 8 9 4 3 5
07
OR
Q.3

Explain the practical applications of business statistics.
07
Q.3

Construct a histogram and frequency polygon for the following data.
Class Interval Frequency
10-under 20 9
20-under 30 7
30-under 40 10
40-under 50 6
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50-under 60 13
60-under 70 18
70-under 80 15
Q.4

Explain detail note on probabilities.
07
Q.4

A bag contains 8 red and 5 white balls. Three balls are drawn at random. Find the probability that
a. All the three balls are white.
b. All the three balls are red.
07
OR
Q.4

The following table gives a distribution of wages of 1000 workers.
Wages (in Rs.) No. of Workers
120 140 9
140 160 118
160 180 478
180 200 200
200 220 142
220 240 35
240 260 18
An individual is selected at random from above group. What is the probability that his wages are:
Under Rs. 160 Above Rs. 200 Between Rs. 160 and Rs. 200
07
Q.4

Explain the following:
Addition rule for any two events A and B. What happens if the events A and B are mutually exclusive?
Multiplication rule for any two events A and B. What happens if the events A and B are independent?
07
Q.5

A random sample of voters is classified by age group, as shown by the following data.
Age group
Frequency
18- under 24
17
24- under 30
22
30- under 36
26
36- under 42
35
42- under 48
33
48- under 54
30
54- under 60
32
60- under 66
21
66- under 72
15
Calculate the mean, mode and standard deviation of the data.
07
Q.5

Explain following terms with example.
Inter Quartile Range
Mean Absolute Deviation
Variance
07
OR
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Q.5

From the following data find out mean and standard deviation where indicates the probability of X.
X 0 1 2 3 4
.35 .25 .18 .13 .09
07
Q.5

What do you mean by regression? Point out the usefulness of regression in business analysis.
07