Problem 15E
Refer to Exercise 1.4 and repeat parts (a) and (b) of Exercise 1.13.
Reference
The top 40 stocks on the overthecounter (OTC) market, ranked by percentage of outstanding shares traded on one day last year are as follows:
a Construct a relative frequency histogram to describe these data.
b What proportion of these top 40 stocks traded more than 4% of the outstanding shares?
c If one of the stocks is selected at random from the 40 for which the preceding data were taken, what is the probability that it will have traded fewer than5%of its outstanding shares?
Refer to Exercise 1.2.
a Calculate and s for the data given.
b Calculate the interval ± ks for k = 1, 2, and 3. Count the number of measurements that fall within each interval and compare this result with the number that you would expect according to the empirical rule.
Reference
Are some cities more windy than others? Does Chicago deserve to be nicknamed “The Windy City”? Given below are the average wind speeds (in miles per hour) for 45 selected U.S. cities:
Source: The World Almanac and Book of Facts, 2004.
a Construct a relative frequency histogram for these data. (Choose the class boundaries without including the value 35.1 in the range of values.)
b The value 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the magnitude of its average wind speed?
c The average wind speed for Chicago is 10.3 miles per hour. What percentage of the cities have average wind speeds in excess of Chicago’s?
d Do you think that Chicago is unusually windy?
Answer:
Step 1 of 2:
(a)
In this question, we are asked to find the sample mean and sample variance for the data given.
The top stocks on the overthecounter market, ranked by percentage of outstanding shares traded on one day last year are as follows:
Stocks Traded 
Ordered Stocks

Square of Stocks 
11.88 
2.61 
6.8121 
6.27 
2.62 
6.8644 
5.49 
2.63 
6.9169 
4.81 
2.68 
7.1824 
4.4 
2.69 
7.2361 
3.78 
2.74 
7.5076 
3.44 
2.74 
7.5076 
3.11 
2.88 
8.2944 
2.88 
2.89 
8.3521 
2.68 
2.99 
8.9401 
7.99 
3.03 
9.1809 
6.07 
3.11 
9.6721 
5.26 
3.2 
10.24 
4.79 
3.26 
10.6276 
4.05 
3.36 
11.2896 
3.69 
3.44 
11.8336 
3.36 
3.48 
12.1104 
3.03 
3.62 
13.1044 
2.74 
3.69 
13.6161 
2.63 
3.78 
14.2884 
7.15 
3.93 
15.4449 
5.98 
3.94 
15.5236 
5.07 
4.05 
16.4025 
4.55 
4.4 
19.36 
3.94 
4.43 
19.6249 
3.62 
4.55 
20.7025 
3.26 
4.79 
22.9441 
2.99 
4.81 