Indira Gandhi National Open University (IGNOU) 2005 Diploma Computer Applications CS08 Numerical and Statistical Computing - - Question Paper

(i) V = X/Y - 37,375.15
(ii) Z = 7.52 E+(2*I)
(iii) MAX/N = P

(d) After analysing the wage pallen of the workers of 3 firms A, B and C, the subsequent outcomes were found :

Firm A Firm B Firm C
No. of workers 400 500 600
avg. monthly income 250 200 150
Standard deviation eight nine 10

obtain which of these have the larger variation. (4)

3. (a) The sum of the squares of the 1st n natural numbers is provided by
S = n(n+1)(2n+1)/6
Write a FORTRAN program that will obtain S for n = 10[10] 250, i.e., n = 10, 20, 30,. . . ,250. (4)

(b) Write a FORTRAN program to learn 50 numbers a1, a2, a3, . . . , a50 and print them in the order a50, a49, a48,.., a1.(4)

(c)Calculate the mean, median, and mode of the subsequent data relating to weight of 120 articles : (5)

Weight (in gm) No. of Articles
0 - 10 14
11 - 20 17
21 - 30 22
31 - 40 26
41 - 50 23
51 - 60 18

(d) A speak the truth in 70% cases and B speaks the truth in 80% cases. What is the probability that they will say the identical thing while describing a single event ? (2)

4. (a) A factory manufacturing televisions has 4 units A, B, C and D. The units A, B, C, D manufacture 15%, 20%, 30%, and 35% of the total output, respectively. It was obtained that out of their output 1%, 2%, 2% and 3% are defective, A television is chosen at random from the total output, and obtained to be detective. What is the probability that it came from unit D ? (3)

(b) In a partially destroyed laboratory record, only the lines of regression of y on x, and x on y are available as
4x - 5y + 33 = 0 and 20x - 9y = 107
respectively. compute xBar, YBar and the co-efficient of correlation ranging from x and y. (5)

(c) Write a program using FORTRAN 77 to check the consistency of the subsequent system of equations:
2x - five = 3y + 7z
6x + y + 2z = 3
x - 5y = 20
Further, list the changes required, if any, for effective program execution. If the program were written using FORTRAN 90 instead. (7)

5. (a) compute the Cost of residing Index Number from the subsequent data : (5)

Items Price Weights
Base Year Current Year
Food 400 500 five
Fuel 90 120 two
Clothing 150 200 three
House Rent 300 250 two
Miscellaneous 300 380 one

(b) provided beneath is a series of weekly demand for out-patient Care at an ambulatory centre. Also shown are forecasts of demand computed by 2 forecasting methods that are under consideration.

Demand Forecast Model A Forecast Model B
536 575 550
590 600 580
554 580 545
622 595 600
718 610 670
673 625 645
640 630 650
595 640 645

(i) calculate the MAD for every forecast model.
(ii) Indicate which model you think is better-and why. (6)

(c) The Mother Dairy Ice Cream Shoppe has recorded the demand for a particular flavour during the past six weeks, as shown beneath :

Week Gallons Week Gallons
1st Week, February 19 fourth Week, February 27
2nd Week, February 17 Ist Week, March 29
3rd Week, February 22 second Week, March 33

(i) compute a 3-week moving avg. for the data to forecast demand for the next week.
Caculate a weighted avg. forecast for the data, using a weight of 0.6 for the most latest data and weights of 0.3 and 0.1 for successively older data. (4)

Earning:   Approval pending.