Assignment # 3
MTH302 (Spring 2015)
Total marks: 10
Lecture # 23 to 30
Due Date: July 31, 2015
DON’T MISS THESE: Important instructions before attempting the solution of this assignment:
Section A
Question 1:
(i) Arrange the following set of data in ascending order and write down the frequency table showing the frequency of each term in front of it 9,10,9,8,7,5,3,9,8,8,7,5,5,5,5,3,2,2,3,1,1,2,3,3,2,1,6,7,8,3.
(ii) Find first second and third quartile of the following data
12, 18, 13,19,16,14,15,17,20.
Question 2:
Find the slope of the regression line “Y = a + bX” with the help of the following data:
X 
4 
3 
5 
7 
Y 
7 
8 
9 
12 
Section B
Question 1:
In a Honda center sales man collected spare part prices $8, $2, $14, $13, $22, $18, $30, $25, $52, $46, $63 in one day. Find out the lower quartile, upper quartile and interquartile range for the above given data.
Question 2:
Find the correlation coefficient r between variables X and Y using the following table (Do not use excel formulas to find correlation coefficient)
X 
8 
9 
10 
11 
Y 
10 
5 
12 
11 
Section C
Question 1:
60 
80 
90 
96 
120 
150 
200 
360 
480 
520 
1060 
1200 
1450 
2500 
7200 
The annual incomes (in thousands of $) of fifteen families is as
Calculate the
for the given data.
Question 2:
Find the correlation between candidates score in interview and written test for a random sample of 6 candidates, which is as
X 
2 
4 
5 
6 
8 
11 
Y 
18 
12 
10 
8 
7 
5 
Where X=Interview marks, Y=Marks of written test.
Section D
Question 1:
A company expenditures on advertising (in hundreds of $) are as follows:

Find
1) Range
2) Mid Range
3) Median
4) Mode
Question 2:
From the data ‘x’ values 22, 35, 38, 33, 28, 37, 40, 20, 26, calculate
1) Mean deviation
2) Variance
Tags:
Section C
Question 1:
60 
80 
90 
96 
120 
150 
200 
360 
480 
520 
1060 
1200 
1450 
2500 
7200 
The annual incomes (in thousands of $) of fifteen families is as
Calculate the
for the given data.
Solution:
As
Here,
For Harmonic mean
So, in this case
For Quartiles,
Hence Quartile deviation is
Question 2:
Find the correlation between candidates score in interview and written test for a random sample of 6 candidates, which is as
X 
2 
4 
5 
6 
8 
11 
Y 
18 
12 
10 
8 
7 
5 
Where X=Interview marks, Y=Marks of written test.
Solution:
In order to compute the correlation coefficient, we carry out the following calculations
X 
Y 
X^{2} 
Y^{2} 
XY 
2 
18 
4 
324 
36 
4 
12 
16 
144 
48 
5 
10 
25 
100 
50 
6 
8 
36 
64 
48 
8 
7 
64 
49 
56 
11 
5 
121 
25 
55 
∑X=36 
∑Y=60 
∑X^{2}=266 
∑Y^{2}=706 
∑XY=293 
Section D
Question 1:
A company expenditures on advertising (in hundreds of $) are as follows:

Find
1) Range
2) Mid Range
3) Median
4) Mode
Solution:
Arrange the data in ascending order
X 
10 
11 
12 
14 
15 
18 
20 
22 
27 
27 
33 
Maximum Value = =33
Minimum Value = =10
1) Range ==3310 = 13
2) Mid Range = =13/2 = 6.5
3) Median = (n+1/2 )th item = (11+1)/2 th item = 6^{th} item = 18
4) Mode = Most frequent value = 27
Question 2:
From the data ‘x’ values 22, 35, 38, 33, 28, 37, 40, 20, 26, calculate
1) Mean deviation
2) Variance
Solution:


22 
9 
9 
81 
35 
4 
4 
16 
38 
7 
7 
49 
33 
2 
2 
4 
28 
3 
3 
9 
37 
6 
6 
36 
40 
9 
9 
81 
20 
11 
11 
121 
26 
5 
5 
25 
279 
=0 
=56 
=422 
1) Mean Deviation =
2) Variance =
How to Get This Badge at Your Profile DP

Management: Admins ::: Moderators
© 2021 Created by + M.Tariq Malik. Powered by
Promote Us  Report an Issue  Privacy Policy  Terms of Service
We are usergenerated contents & noncommercial site. All product, videos, pictures & others contents on site don't seem to be beneath our Copyrights & belong to their respected owners & freely available on public domains. All Contents on site are for personal & noncommercial use.We believe in Our Policy & do according to them. If Any content is offensive in your Copyrights then please email at m.tariqmalik@gmail.com with copyright detail & We will happy to remove it immediately.
Management: Admins ::: Moderators
Awards Badges List  Moderators Group
All Members  Featured Members  Top Reputation Members  Angels Members  Intellectual Members  Criteria for Selection
Become a Team Member  Safety Guidelines for New  Site FAQ & Rules  Safety Matters  Online Safety  Rules For Blog Post