Assignment No.1 (Course STA301)
Fall
2016 (Total Marks 15)
Deadline
Your Assignment
must be uploaded/ submitted before or on 9th Nov, 2016
STUDENTS ARE STRICTLY
DIRECTED TO SUBMIT THEIR ASSIGNMENT
BEFORE OR BY DUE DATE. NO ASSIGNMNENT AFTER DUE DATE WILL BE ACCEPTED VIA
E.MAIL).
Rules for Marking
It should be clear that your
Assignment will not get any credit IF:
·
The Assignment submitted, via email, after due date.
·
The submitted Assignment is not found as MS
Word document file.
·
There will be unnecessary, extra or
irrelevant material.
·
The
Statistical notations/symbols are not well-written i.e., without using MathType software.
·
The Assignment will be copied from
handouts, internet or from any other student’s file. Copied material (from
handouts, any book or by any website) will be awarded ZERO
MARKS. It is PLAGIARISM and an Academic
Crime.
·
The medium of the course is English.
Assignment in Urdu or Roman languages will not be
accepted.
·
Assignment means Comprehensive yet precise
accurate details about the given topic quoting different sources
(books/articles/websites etc.). Do not rely only on handouts. You can take
data/information from different authentic sources (like books, magazines,
website etc) BUT express/organize all the collected material in YOUR
OWN WORDS. Only then you will get good marks.
Objective(s) of this
Assignment:
- The assignment is being uploaded to
strengthen the students’ BASIC concepts about statistics.
- Practice for arranging and
displaying already collected data into an organized form, using given
statistical method.
Assignment.1
(Lessons 1-5)
Question 1:
Marks: 2.5+2.5=5
Calculate the relative frequencies, percentage relative
frequencies from the following table.
Classes
|
Frequencies
|
60-64
|
2
|
65-69
|
1
|
70-74
|
2
|
75-79
|
7
|
80-84
|
2
|
85-89
|
7
|
90-94
|
4
|
95-99
|
9
|
Question 2:
Marks: 5+5=10
Construct the (i) Frequency
polygon (ii) Ogive for the
following distribution:
Class Limit
|
8-12
|
13-17
|
18-22
|
23-27
|
28-32
|
Frequency
|
5
|
1
|
3
|
6
|
5
|
Solution:
Question 1: Solution
Calculate the relative frequencies, percentage relative
frequencies from the following table.
Classes
|
Frequencies
|
R.F
|
% R.F
|
60-64
|
2
|
2/34=
0.058824
|
5.882353
|
65-69
|
1
|
1/34=
0.029412
|
2.941176
|
70-74
|
2
|
2/34=
0.058824
|
5.882353
|
75-79
|
7
|
7/34=
0.205882
|
20.58824
|
80-84
|
2
|
2/34=
0.058824
|
5.882353
|
85-89
|
7
|
7/34=
0.205882
|
20.58824
|
90-94
|
4
|
4/34=
0.117647
|
11.76471
|
95-99
|
9
|
9/34=
0.264706
|
26.47059
|
Total
|
34
|
1
|
100
|
Question 2: Solution
Construct the (i) Frequency
polygon (ii) Ogive for the
following distribution:
Class Limit
|
8-12
|
13-17
|
18-22
|
23-27
|
28-32
|
Frequency
|
5
|
1
|
3
|
6
|
5
|
(i) Frequency
polygon
Class
Limit
|
Class
Boundaries
|
Mid
Point
|
Frequency
|
8-12
|
7.5-12.5
|
10
|
5
|
13-17
|
12.5-17.5
|
15
|
1
|
18-22
|
17.5-22.5
|
20
|
3
|
23-27
|
22.5-27.5
|
25
|
6
|
28-32
|
27.5-32.5
|
30
|
5
|
Mid Point
|
Frequency
|
5
|
0
|
10
|
5
|
15
|
1
|
20
|
3
|
25
|
6
|
30
|
5
|
35
|
0
|
(ii) Ogive
Class
Limit
|
Class
Boundaries
|
Frequency
|
C.F
|
8-12
|
7.5-12.5
|
5
|
5
|
13-17
|
12.5-17.5
|
1
|
6
|
18-22
|
17.5-22.5
|
3
|
9
|
23-27
|
22.5-27.5
|
6
|
15
|
28-32
|
27.5-32.5
|
5
|
20
|
Class
Boundaries
|
Upper Class Boundary
|
C.F
|
2.5-7.5
|
7.5
|
0
|
7.5-12.5
|
12.5
|
5
|
12.5-17.5
|
17.5
|
6
|
17.5-22.5
|
22.5
|
9
|
22.5-27.5
|
27.5
|
15
|
27.5-32.5
|
32.5
|
20
|
0 comments: