CS 4953 Experimentation in Computer Science Assignment 3: Spring 2003

Due Tuesday, March 4, 2003

These problems refer to the following data:
23, 33, 14, 15, 42, 28, 33, 45, 23, 34, 39, 21, 36, 23, 34, 36, 25, 9, 11, 19, 35, 24, 31, 29, 16, 23, 34, 24, 38, 15, 13, 35, 28

Show how you got your answers to each of the following. If you wrote a program to do it, turn in the source code with an explanation of what the program does.

1. Find the number of data points.
2. Find the mean.
3. Find the standard deviation.
4. Find the coefficient of variation.
5. Find the mode(s).
6. Find the 10th percentile.
7. Find the 90th percentile.
8. Find the median.
9. Find the range.
10. Find the semi-interquartile range (SIQR).
11. Find a 90% confidence interval for the mean.
12. Find a 99% confidence interval for the mean.
13. Find the probability that the mean is less than 25.
14. Redo all of the above using just the first 10 data points.