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 stemandleaf 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 
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