Using the software or calculator available to you, do thefollowing.

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 14 113 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 34

18 13 18 28 21 13 25 19 11 19 22 19 15 20

Source: United States Department of Commerce, NationalOceanic and Atmospheric Administration, Environmental Data Service. Climatological Data, Annual Summary, Hawaii, Vol. 67, No. 13. Asheville: National Climatic Center, pp.11, 24.

(a) Use the computer or calculator to find the sample mean, median, and (if it exists) mode.

(b) Also, find the range, sample variance, and sample standard deviation of total air movement over the weather station.

(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 see the 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 bank and redo parts (a) and (b). Compare your results with those previously obtained. Which average is most affected? What happens to the standard deviation?