1
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
M.Sc.DEGREE EXAMINATION STATISTICS
THIRDSEMESTER APRIL 2018
16PST3ID01- MATHEMATICAL AND STATISTICAL COMPUTING
Date: 21-04-2018 Dept. No. Max. 100 Marks
Time: 09:00-12:00
Part A
Answer all the questions 10 X 2 20
1. Write a Python program to print 1 to 10 numbers
2. How to calculate standard deviation of a variable from the given table?
3. How to calculate 5 to the power 26 in Python.
4. Write a short note on subset of data using Python.
5. Convert 'LOYOLA COLLEGE' into lower case using Python code
6. Explain the output of "ins_data.iloc[::100,8:]"
7. Name the four default windows in MATLAB.
8. Specify the use of the command format loose and format compact in command window.
9. How does the polynomial is represented in MATLAB.
10. Let X 10, 22}. Write down the MATLAB command to compute mean and median of X.
Part B
Answer any five questions 5 X 8 40
11. What are the importance of the statement "describe" and "goupby" in Python with examples?
12. Write a Python programme using for loop statement to print "Welcome to Python" 5 times.
13. Explain the application of Python in real world.
14. Explain Pearson correlation and Spearman correlation coefficients using Python.
15. Generate random sample of size 2000 from Normal distribution between 100 and 200 for three variables and hence construct pairwise scatter plot.
16. Mention the uses of: fliplr, flipud, rot90 repmat keywords in MATLAB.
17. Write a short note on output statements in MATLAB using appropriate examples.
18. For a matrix compute the following
Inverse of A.
a. Determinant of A.
b. Trace of A.
c. Upper triangular matrix of A.
2
Part C
Answer any two questions 2 X 20 40
19. In a study of diabetic patients, the following data were obtained
Age (in years)
10-20
20-30
30-40
40-50
50-60
60-70
Number of male patient
4
8
16
10
6
3
Number of female patient
3
5
12
17
5
1
Draw a suitable diagram
Draw a pie diagram using python code to represent the following population in a town:
Males Females Girls Boys
2000 1800 4200 2000
20. How do merge concepts work in python?. Explain with suitable examples.
Explain any two testing of hypotheses tests using python.
21. Write MATLAB commands to evaluate the following mathematical expressions:


Explain the method to change the plot colour, line styles, and data markers. (10 10)
22. Explain descriptive statistics in Python with suitable example
Write a script areaMenu that will print a list consisting of "cylinder", "circle", and
"rectangle". It prompts the user to choose one, and then prompts the user for the
appropriate quantities (e.g., the radius of the circle) and then prints its area. If the user
enters an invalid choice, the script simply prints an error message (10 10)