MTH302 assignment Solution?

[M habib ur rehman]

Assignment # 2
MTH302 (Fall 2012)

Total marks: 20
Lecture # 23 to 29
Due date: 17-01-13


Question # 1 (Marks: 10)


a) Consider 48 customers entered in a super store in a week. Find the Stem and Leaf Display for the following data:

23 20 31 22 42 25 20 24 28 33 31 21
23 37 25 27 40 21 22 20 20 20 23 31
32 18 19 22 27 22 26 22 23 23 21 41
24 20 22 18 21 34 23 32 20 25 38 23


b) Also find the mean, median and mode of the above data.



Question # 2 (Marks: 10)

The weights and heights of 10 animals are recorded as follows:

Weight(X) Length(Y)
4 6
6 7
8 9
8 7
10 10
12 10
16 14
16 18
18 18
20 20

Find out the coefficient of correlation and also determine that whether the correlation is positive, negative or there is no correlation between the measured variables.

[abdulsaboor]

Here are the answers:
Q1:
Mean = 26 approx.
Median = 23
Mode = 20, 23
Q2:
S(X) = 5.17
S(Y)= 4.93
S (XY) = 24.58
Correlation Co-efficient (R) = 0.96 (Positive correlation)

[abdulsaboor]

r = ƩXY – (ƩX) (ƩY)/n / √ [Ʃx² - (Ʃx) ² / n] [Ʃy² - (Ʃy) ² / n]
The answer is 0.99 i.e. 99% correlation(positive correlation),answer is approximately the same, can we use it? Please somebody guide...
Answer of Q1:(a)
Stem Leaf
4 012
3 111223478
2 000000011112222223333333445556778
1 889