Mth302 Assignment No. 2 Idea Solution

by good luck Sun Jun 12, 2011 9:20 am

MTH302 (Spring 2011)

Total marks: 40
Lecture # 23 to 29
Due date: 16-06-2011

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Question 1: Marks=10
A shopkeeper wants to know whether there exists any correlation between sale of shampoo and sale of conditioner or not. Suppose that he selects a random sample of four brands out of all brands that he sale. The following information is obtained:
Brands
Sale of Shampoo

A
5
2
B
7
3
C
10
7
D
14
10

Question 2: Marks=10
The weekly sale of a product A was recorded as below. Find the coefficient of variation of weekly sale for the Product A.
Product A
60
58
42
25
35
45
15

Question 3: Marks=10
Find the Relative Frequency, Cumulative Frequency, and Percent Relative Frequency of the data given in the table below.

Class
Frequency
( f )
10 – 15
5
15 – 20
4
20 – 25
6
25 – 30
2
30 – 35
3
35 – 40
7
40 – 45
5

Question 4: Marks=10
The given data is 69, 93, 53, 45, 66, 71, 89, 95, 97, 103, 75
Determine the 5-point summary ( i.e. Smallest value, 1st Quartile (Q1), Median (Q2), 3rd Quartile (Q3), Largest value ).

by good luck Sun Jun 12, 2011 9:26 am

Idea Solution:

Q No. 2 Solution:

See Handouts:
60 58 42 25 35 45 15
Lecture Number 28 Page 204
Coefficient of variation is equal to the standard deviation divided by mean
multiply by 100.
Coefficient of variation=standard deviation/mean * 100
c.v=s/mean *100
Solve By yourself

Q No. 3 Solution
See Page # 170 Of handouts
Lecture Number 24
Relative frequency :
Relative Frequency of a class = Frequency of the class interval
---------------------------------------
Total Frequency
Cumulative Frequency:
If we add frequency of the second interval to the frequency of the first interval , then the
cumulative frequency for the second interval is obtained
Percent cumulative relative frequency:
This can be calculated same as cumulative frequency except now percent relative
frequency for each class interval is considered. The percent cumulative relative
frequency of the last class interval is 100% as all observations have been added.
Class
10 – 15
15 – 20
20 – 25
25 – 30
30 – 35
35 – 40
40 – 45
Frequency
(f)
5
4
6
2
3
7
5
32

Relative% Relative
Frequency Frequency
0.1616
0.1212
0.1919
0.066
0.099
0.2222
0.1616
1100

Q No. 4:

See on Handouts
Lecture 26 Page Number 186
Quartiles divide data into 4 equal parts
Syntax
1st Quartile Q1=(n+1)/4
2nd Quartile Q2= 2(n+1)/4
3rd Quartile Q3= 3(n+1)/4

Lecture 27 Page Number 194
5-NUMBER SUMMARY:
5 number summary is:
• Smallest value
• 1st Quartile (Q1)
• Median (Q2)
• 3rd Quartile (Q3)
•Largest

Arrange the data in ascending order
45, 53, 66, 69, 71, 75, 89, 93, 95, 97, 103
Smallest Value = 45
1st Q= (n+1)/4
= (11+1)4
= (12)/4
=3
2nd Q= 2(n+1)/4
=2(11+1)/4
=2(12)/4
=2(3)
=6
3rd Q= 3(n+1)/4
=3(11+1)/4
=3(3)
=9
Largest Value= 103

Mth302 Assignment No. 2 Idea Solution

Mth302 Assignment No. 2 Idea Solution

Re: Mth302 Assignment No. 2 Idea Solution