91Ó°ÊÓ

How long did real cowboys live? One answer may be found in the book The Last Cowboys by Connie Brooks (University of New Mexico Press). This delightful book presents a thoughtful sociological study of cowboys in west Texas and southeastern New Mexico around the year \(1890 .\) A sample of 32 cowboys gave the following years of longevity: $$ \begin{array}{lllllllllll} 58 & 52 & 68 & 86 & 72 & 66 & 97 & 89 & 84 & 91 & 91 \\ 92 & 66 & 68 & 87 & 86 & 73 & 61 & 70 & 75 & 72 & 73 \\ 85 & 84 & 90 & 57 & 77 & 76 & 84 & 93 & 58 & 47 & \end{array} $$ (a) Make a stem-and-leaf display for these data. (b) Consider the following quote from Baron von Richthofen in his Cattle Raising on the Plains of North America: "Cowboys are to be found among the sons of the best families. The truth is probably that most were not a drunken, gambling lot, quick to draw and fire their pistols." Does the data distribution of longevity lend credence to this quote?

A data set has values ranging from a low of 10 to a high of 50\. What's wrong with using the class limits \(10-20,20-30,30-40,40-50\) for a frequency table?

It's not an easy life, but it's a good life! Suppose you decide to take the summer off and sign on as a deck hand for a commercial fishing boat in Alaska that specializes in deep-water fishing for groundfish. What kind of fish can you expect to catch? One way to answer this question is to examine government reports on groundfish caught in the Gulf of Alaska. The following list indicates the types of fish caught annually in thousands of metric tons (Source: Report on the Status of U.S. Living Marine 91Ó°ÊÓ, National Oceanic and Atmospheric Administration): flatfish, \(36.3\); Pacific cod, \(68.6\); sablefish, \(16.0\); Walleye pollock, \(71.2\); rockfish, 18.9. Make a Pareto chart showing the annual harvest for commercial fishing in the Gulf of Alaska.

The following data represent tonnes of wheat harvested each year (1894-1925) from Plot 19 at the Rothamsted Agricultural Experiment Stations, England. \(\begin{array}{lllllllllll}2.71 & 1.62 & 2.60 & 1.64 & 2.20 & 2.02 & 1.67 & 1.99 & 2.34 & 1.26 & 1.31 \\ 1.80 & 2.82 & 2.15 & 2.07 & 1.62 & 1.47 & 2.19 & 0.59 & 1.48 & 0.77 & 2.04 \\ 1.32 & 0.89 & 1.35 & 0.95 & 0.94 & 1.39 & 1.19 & 1.18 & 0.46 & 0.70 & \end{array}\) (a) Multiply each data value by 100 to "clear" the decimals. (b) Use the standard procedures of this section to make a frequency table and histogram with your whole-number data. Use six classes. (c) Divide class limits, class boundaries, and class midpoints by 100 to get back to your original data values.

The following data represent baseball batting averages for a random sample of National League players near the end of the baseball season. The data are from the baseball statistics section of the Denver Post. \(\begin{array}{lllllllll}0.194 & 0.258 & 0.190 & 0.291 & 0.158 & 0.295 & 0.261 & 0.250 & 0.181 \\ 0.125 & 0.107 & 0.260 & 0.309 & 0.309 & 0.276 & 0.287 & 0.317 & 0.252 \\ 0.215 & 0.250 & 0.246 & 0.260 & 0.265 & 0.182 & 0.113 & 0.200 & \end{array}\) (a) Multiply each data value by 1000 to "clear" the decimals. (b) Use the standard procedures of this section to make a frequency table and histogram with your whole-number data. Use five classes. (c) Divide class limits, class boundaries, and class midpoints by 1000 to get back to your original data.