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 | |
| Weight 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.
1) Arithmetic Mean
2) Geometric Mean
3) Harmonic Mean
idea solution :
Q#2
Ans#
Class limits and there respective frequencies are given. Construct the columns of:
(i) Cumulative Frequency
(ii) Class Boundaries
(iii) Mid Points
Ans#
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
|
