STA301 - Statistics and Probability Assignment No.1 Problems Discussion May 2014

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STA301 - Statistics and Probability Assignment No.1 Problems Discussion and Solution Spring 2014 Due Date: May 19 ,2014

assignment No: 1 (Lessons 1-11)
Question 1: Marks: 0.5x6 = 3
You have studied FOUR scales of measurement in your course. Looking at the following real life examples, can you determine which measurement scales is most suitable for each example?
Example
Suitable Scale
People categorized according to religion (Muslim, Hindu, Christian)
Positions obtained by students in a class (1st, 2nd, 3rd )
Temperature in different cities of Pakistan
Height of students in a college
Wight of students in a college

Occupations (Doctor, Lawyer, Teacher etc.) adopted by individuals

Question 2: Marks: 2+2+2=6
Class limits and there respective frequencies are given. Construct the columns of:

(i) Cumulative Frequency

(ii) Class Boundaries

(iii) Mid Points

Class Limits
Frequency = f
Cumulative Frequency
Class Boundaries
Mid Points
35-39
15


40-44
13

45-49
17

50-54
28


55-59
11

60-64
10


65-69
5

Total
99


Question 3: Marks: 2+2+2= 6

By using the given data set 150, 174,193, 211, 214, 219, 262, 271, 296, and 300; calculate the following measures of averages.

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1) Arithmetic Mean

2) Geometric Mean

3) Harmonic Mean

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Ans#2

Class limits and there respective frequencies are given. Construct the columns of:

(i) Cumulative Frequency

(ii) Class Boundaries

(iii) Mid Points



Class Limits
Frequency = f
Cumulative Frequency
Class Boundaries
Mid Points
35-39
15
15
34.5-39.5
(35+39)/2=37
40-44
13
15+13=28
39.5-44.5
42
45-49
17
28+17=45
44.5-49.5
47
50-54
28
45+28=73
49.5-54.5
52
55-59
11
73+11=84
54.5-59.5
57
60-64
10
84+10=94
59.5-64.5
62
65-69
5
94+5=99
64.5-69.5
67
Total
99

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STA301 - Statistics and Probability Assignment No.1 Solution




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