

CS  08 Numerical & Statistical Computing

Income 
No. of families 
400600 
10 
600800 
15 
8001000 
35 
10001200 
20 
Calculate the mode.
g) Fit a straight line of the data given by the following table:
Income 
No. of families 
2 
4 
3 
7 
5 
3 
6 
5 
7 
2 
8 
1 
h) Compute the mean deviation for the following set of data where mean is 46.70:
Marks 
No. of students 
2030 
5 
3040 
14 
4050 
10 
5060 
8 
6070 
6 
7080 
4 
i) there are 10 identical balls, 6 of blue and 4 of red colour. One ball is drawn at random. Find the probability that ball drawn is red.
Q. 2. Write a program in FORTRAN to sum up the following series using
DO loop:
i) 1,3,5,7,9,....,101
ii) 2,5,10,17,26,37,50,65,82,101
iii) 3,10,29,66,127,218,345,514,731,1002
Q. 3. a) You are given the following five numbers:
10,5,7,20,9
Write a program in FORTRAN to find out the largest number out of these
numbers.
b) Draw (lessthan type) cumulative frequency polygon for the following frequency class distribution:
Class 
Frequency 
Class 
Frequency 
14 
6 
1619 
12 
47 
4 
1922 
8 
710 
5 
2225 
4 
1013 
3 
2528 
1 
1316 
2 
2831 
3 
Q. 4 a) The probability that a regular scheduled flight departs on time
is 0.83, the probability that it arrives on time is 0.82, and the probability
that it departs and srrives on time is 0.78.
Find the probability that a plane
i) arrives on time given that is departed on time
ii) departed on time given that it has arrived on time.
b) The probability that a student passes statistics is 2/3 and the probability that he passes mathematics is 4/9. if the probability of passing both courses is 1/4, what is the probability that the student will pass at least one of these courses.
Q. 5. a) Calculate correlation coefficients for the following data:
X 
Y 
5 
21 
15 
14 
10 
28 
20 
7 
25 
35 
40 
42 
b) After analysing the wage pattern of the workers of two firms A and B, following results were obtained:

Firm A 
Firm B 
No. of workers 
400 
500 
Average monthly income 
350 
225 
Standard devaition 
8 
9 
Find which of these have the larger variation.
Q.6. A college principle is interested in measuring how the prices of
certain commodities have changed during his past five years of expierence.
Commodity 
Unit of purchase 
Typical annual consumption 
Price 

1990 
1995 

Pen 
12 pieces 
4 
60 
75 
Board pen 
6 pieces 
1/2 
72 
92 
Registers 
1 box 
1 
950 
1100 
Aspirin 
1 pack 
6 
59 
75 



1141 
1342 
Calculate index numbers for 1995 by taking 1990 as base year by weighted aggregate method.
(b) From the following table of values of x and y, obtain dy/dx for x = 1.2.
x 
y 

1.0 
2.7183 
1.2 
3.3201 
1.4 
4.0552 
1.6 
4.953 
1.8 
6.0496 
2.0 
7.3891 
2.2 
9.025 




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