Chapter 3, Problem 1UTA

Application

Using the software or calculator available to you, do the following:

1. Trade winds are one of the beautiful features of island life in Hawaii. The following data represent total air movement in miles per day over a weather station in Hawaii as determined by a continuous anemometer recorder. The period of observation is January 1 to February 15,1971.

26	14	18	14
13	50	13	22
27	57	28	50
72	52	105	138
16	33	18	16
32	26	11	16
17	14	57	100
35	20	21	M
18	13	18	28
21	13	25	19
11	19	22	19
15	20

Source: Untied States Department of Commerce. National Oceanic and Atmospheric Administration. Environmental Data Service. Climatological Data, Annual SummaryHawaii,. Vol, 67. No 13 Asheville: National Climatic Center, 1971, pp. 11, 24.

2. (a) Use the computer to find the sample mean, median, and (if it exists) mode. Also, find the range, sample variance, and sample standard deviation.

3. (b) Use the five-number summary provided by the computer to make a box-and-whisker plot of total air movement over the weather station.

4. (c) Four data values are exceptionally high: 113, 105, 138, and 100. The strong winds of January 5(113 reading) brought in a cold front that dropped snow on Haleakala National Park (at the 8000 ft elevation). The residents were so excited that they drove up to seethe snow and caused such a massive traffic jam that the Park Service had to close the road. The winds of January 15, 16, and 28 (readings 105, 138, and 100) accompanied a storm with funnel clouds that did much damage. Eliminate these values (i.e., 100, 105, 113. and 138) from the data hank and redo parts (a) and (b). Compare your results with those previously obtained. Which average is most affected? What happens to the standard deviation? How do the two box-and-whisker plots compare?