1
Seat No.: Enrolment
GUJARAT TECHNOLOGICAL UNIVERSITY
BPLAN SEMESTER I • EXAMINATION WINTER-2017
Subject Code: 1015504 Date: 01/01/2018
Subject Name: Statistical and Quantitative Methods in Planning II
Time: 02:30 PM TO 04:30 PM Total Marks: 50
Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
Q.1

Prices of movie tickets increase during the weekend, what kind of variation is that?
06
Irregular
Cyclic
Seasonal
Secular
In a bar chart, what does y axis represent?
Frequency
Mean
Distribution
All of the above
Find out median and mode in the given data series
5 5
4 5
5.5 5
4.5 5
Data derived from focused group discussion is
Primary data
Secondary data
Both
None
With increase in value of standard deviation
Bell curve will be stiffer
It will be unaffected
Bell curve will have more bulge
None of the above
If we roll a dice for 12 times, the probability of getting 3& 6 will be
1 0.5
0.5 &0.17
0.17 0.25
0.17 0.17

Define following terms: (Any Two)
Union probability
Multimodal data
Pie chart
04
2
Q.2

Prepare an illustrative sample questionnaire for conducting a primary survey in a school to evaluate its transport facilities
05

Explain with example Bar chart, Histogram
05
OR

Explain with example Irregular variation, Cyclic variation
05
Q.3

Below given is the data of employees of a corporate firm in Ahmedabad and their mode of commuting
Mode of commuting Type of employees
Class 1
Class 2
Class 3
Class 4
Car
22
12
2
0
Two Wheeler
0
12
12
14
Shared car
3
18
12
4
Public transport
1
6
21
26
For the given data set
Draw a pie chart showing mode of commuting wise distribution of class 3 employees
05

Draw a histogram showing class wise distribution of employees coming by public transport
05
OR
Q.3

Draw a bar chart showing class wise distribution of employees coming by two wheeler
05

Draw a multiple bar chart showing class wise distribution of employees coming by various vehicles
05
Q.4
Below given is the data of employees of a corporate firm in Ahmedabad and their mode of commuting
Mode of commuting Type of employees
Class 1
Class 2
Class 3
Class 4
Car
22
12
2
0
Two Wheeler
0
12
12
14
Shared car
3
18
12
4
Public transport
1
6
21
26
3

1. What is the probability that any randomly picked employee is coming by public transport
2. What is the probability that any randomly picked employee is class 2 employee?
05

1. What is the probability that any randomly picked employee is from class 4 or coming by shared car?
2. What is the probability that any randomly picked employee is from class 3 and coming by two wheeler?
05
OR
Q.4

1. What is the probability that any randomly picked employee is coming by car
2. What is the probability that any randomly picked employee is class 1 employee?
05

1. What is the probability that any randomly picked employee is from class2 or coming by two wheeler?
2. What is the probability that any randomly picked employee is from class 4 and coming by public transport?
05
Q.5

1.5
1.25
3.33
3.75
4.2
2.1
2.7
1.8
1.2
2.1
4.9
3.7
2.4
3.2
1.9
4.3
4.1
4.8
2.9
2.5
2.7
2.1
1.4
1.9
5.1
For the above given data
Find out mean, variance and standard deviation
05

Find mode, median and coefficient of variation
05
OR
Q.5


Explain in detail with example primary data, secondary data and methods of their collection and sources
What is a sample? Explain various methods of sampling.
05
05