Are some cities more windy than others? Does Chicago

Chapter 1, Problem 2E

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QUESTION:

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:

\(\begin{array}{rrrrrrrrr} 8.9 & 12.4 & 8.6 & 11.3 & 9.2 & 8.8 & 35.1 & 6.2 & 7.0 \\ 7.1 & 11.8 & 10.7 & 7.6 & 9.1 & 9.2 & 8.2 & 9.0 & 8.7 \\ 9.1 & 10.9 & 10.3 & 9.6 & 7.8 & 11.5 & 9.3 & 7.9 & 8.8 \\ 8.8 & 12.7 & 8.4 & 7.8 & 5.7 & 10.5 & 10.5 & 9.6 & 8.9 \\ 10.2 & 10.3 & 7.7 & 10.6 & 8.3 & 8.8 & 9.5 & 8.8 & 9.4 \end{array}\)

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?

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QUESTION:

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:

\(\begin{array}{rrrrrrrrr} 8.9 & 12.4 & 8.6 & 11.3 & 9.2 & 8.8 & 35.1 & 6.2 & 7.0 \\ 7.1 & 11.8 & 10.7 & 7.6 & 9.1 & 9.2 & 8.2 & 9.0 & 8.7 \\ 9.1 & 10.9 & 10.3 & 9.6 & 7.8 & 11.5 & 9.3 & 7.9 & 8.8 \\ 8.8 & 12.7 & 8.4 & 7.8 & 5.7 & 10.5 & 10.5 & 9.6 & 8.9 \\ 10.2 & 10.3 & 7.7 & 10.6 & 8.3 & 8.8 & 9.5 & 8.8 & 9.4 \end{array}\)

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 7

Relative frequency is a statistical measure that represents the proportion of times a particular event occurs in each number of trials. It is calculated by dividing the number of times the event occurs by the total number of trials. Relative frequency is often expressed as a percentage, but it can also be expressed as a decimal or a fraction.

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