Ivo Dinov UCLA Statistics, Neurology, LONI, Math/PIC |
|
STAT
110 A Spring 2004 |
Probability & Statistics for Engineers I |
Department
of Statistics |
Instructor: Ivo Dinov |
Homework 1 |
Due Date:
Friday, April 16, 2004 |
Class interval for the clearness index |
Number of days |
Relative Frequency |
Cumulative Relative Frequency |
0.16 - 0.20 |
3 |
0.008219 |
0.00822 |
0.21 - 0.25 |
5 |
0.013699 |
0.02192 |
0.26 - 0.30 |
6 |
0.016438 |
0.03836 |
0.31 - 0.35 |
8 |
0.021918 |
0.06027 |
0.36 - 0.40 |
12 |
0.032877 |
0.09315 |
0.41 - 0.45 |
16 |
0.043836 |
0.13699 |
0.46 - 0.50 |
24 |
0.065753 |
0.20274 |
0.51 - 0.55 |
39 |
0.106849 |
0.30959 |
0.56 - 0.60 |
51 |
0.139726 |
0.44932 |
0.61 - 0.65 |
106 |
0.290411 |
0.73973 |
0.66 - 0.70 |
84 |
0.230137 |
0.96986 |
0.71 - 0.75 |
11 |
0.030137 |
1.00000 |
389 |
356 |
359 |
363 |
375 |
424 |
325 |
394 |
402 |
373 |
373 |
370 |
364 |
366 |
364 |
325 |
339 |
393 |
392 |
369 |
374 |
359 |
356 |
403 |
334 |
397 |
- Construct a stem-and-leaf display of the data. How does it suggest that the sample mean and median will compare?
- Calculate the sample mean and median
- By how much can the largest time be increaded without effecting the value of the sample median?
- What are the values of the sample mean and median when the observations are reexpressed in minutes?
14.5 | 25.6 | 52.4 | 66.3 | 69.3 | 69.8 | 76.2 |
- Calculate the values of the sample mean and median. What do their values, relative to one another, tell you about the sample?
- Calculate the sample variance and standard deviation.
Homeowner’s |
Auto | N | L | M | H |
L | 0.04 | 0.06 | 0.05 | 0.03 |
M | 0.07 | 0.10 | 0.20 | 0.10 |
H | 0.02 | 0.03 | 0.15 | 0.15 |
Ivo
Dinov's Home |
http://www.stat.ucla.edu/~dinov |
Visitor number |
© I.D.Dinov 1997-2004 |