Mth302 VU Current Assignment No. 2 Spring 2012 Solution

Assignment # 2
MTH302 (Spring 2012)
Total marks: 20
Lecture # 23 to 29
Due date:14-06-2012

Question No. 1:

In a Rice Mill the weights (in Kilograms) of 50 packets are given below:

Observations Frequency
10 4
15 5
20 9
40 16
60 8
80 5
100 3

Find the Mean and Mode. Also, find the Median using the Empirical Relationships of Mean, Median and Mode.

Question No. 2:

Suppose that the manager of a company wants to know if there exists any correlation between the sales of the product A and the product B. Suppose that he selects a random sample of the total sales of these products in  different days of the month. If you are a manager, then how will you calculate the correlation coefficient? (Use Manual Formula)

Days of

the month

Total sale of

the product A

Total sale of

the product B

1st day

4th day

7th day

10th day

15th day

18th day

22nd day

25th day

27th day

30th day

 

 

 

 

 

 

 

 

.

.

.

.

.

.

.

.

.

.

Idea Solution Hint:

mean=43.2
mode=40
median=40
correlation coefficient = 2.34
found these answers i am sharing. can any one plz share the formulas and solution according to these answers?

the following are the answers:
Mean=42.3
Median=16
Mode=the middle value of data= 5
ab in ka
Empirical Relationships of Mean, Median and Mode.
Mean= 21.5
Mode=1033.59
Median=86.9

Correlation coefficient = 0.77

……..

Observations (X)

Frequency (F)

FX

10

4

40

15

5

75

20

9

180

40

16

640

60

8

480

80

5

400

100

3

300

     
 

ΣF = 50

ΣFX = 2115

Mean = ΣFX/ ΣF

=   42.3

Mode = 40

Median using Empirical Relation

Mean – Mode = 3(Mean – Median)

Median = 1/3[mode + 2mean]

=  1/3[40 + 2(42.3)]

= 41.533

Days of

the month

Total sale of

the product A

(X)

Total sale of

the product B

(Y)

XY

X2

Y2

1st day

15

16

240

225

256

4th day

14

13

182

196

169

7th day

10

11

110

100

121

10th day

18

19

342

324

361

15th day

15

13

195

225

169

18th day

20

22

440

400

484

22nd day

16

15

240

256

225

25th day

15

17

255

225

289

27th day

12

16

192

144

256

30th day

13

17

221

169

289

148

159

2417

2264

2619

 

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