Ques.1 Comment on "Quantitative Techniques is a scientific and for enhancing creative and judicious capabilities of a decision maker", also state the different elements of Decision.
Ques. 2 The raw data displayed here are the scores (out of 100 marks) of a market survey regarding the acceptability of a new product launch by a company for a random sample of 50 respondents
40 45 41 45 45 30 39 8 48
25 26 9 23 24 26 29 8 40
41 42 39 35 18 25 35 40 42
43 44 36 27 32 28 27 25 26
38 37 36 35 32 38 40 41 43
44 45 40 39 41
- Form a frequency distribution having 9 class intervals
- Form a percentage distribution from the frequency distribution (from part a)
- Form a histogram, frequency polygon and frequency curve of the frequency distribution (from part a)
Ques.3 Compute the mean, standard deviation and Coefficient of variation of the following data and comment on the result
|
Size
|
Frequency
|
|
12.5
13.0
13.5
14.0
14.5
15.0
15.5
16.0
|
4
19
30
63
66
29
18
1
|
Ques.4 Following figures give the rainfall in inches for the year and the production in 00' of Kgs. For the Rabi crop and Kharif crop. Calculate the Karl Pearson's coefficient of correlation, between rainfall and total production and comment on the result.
|
Rainfall
|
Rabi Production
|
Kharif Production
|
|
20
|
15
|
15
|
|
22
|
18
|
17
|
|
24
|
20
|
20
|
|
26
|
32
|
18
|
|
28
|
40
|
20
|
|
30
|
39
|
21
|
|
32
|
40
|
15
|
Ques.5 The marks obtained by Nine students in Physics and Mathematics are given below:
Marks in Physics: 35 23 47 17 10 43 9 6 28
Marks in Mathematics:30 33 45 23 8 49 12 4 31
Compute their ranks in the two subjects and coefficient of correlation of ranks.