Page 77 - Demo
P. 77
Lesson 1.4 %u2022 Displaying Quantitative Data: Stemplots 37State EV State EV State EV State EV Alabama 9 Illinois 19 Montana 4 Rhode Island 4 Alaska 3 Indiana 11 Nebraska 5 South Carolina 9 Arizona 11 Iowa 6 Nevada 6 South Dakota 3 Arkansas 6 Kansas 6 New Hampshire 4 Tennessee 11 California 54 Kentucky 8 New Jersey 14 Texas 40 Colorado 10 Louisiana 8 New Mexico 5 Utah 6 Connecticut 7 Maine 4 New York 28 Vermont 3 Delaware 3 Maryland 10 North Carolina 16 Virginia 13 District of Columbia 3 Massachusetts 11 North Dakota 3 Washington 12 Florida 30 Michigan 15 Ohio 17 West Virginia 4 Georgia 16 Minnesota 10 Oklahoma 7 Wisconsin 10 Hawaii 4 Mississippi 6 Oregon 8 Wyoming 3 Idaho 4 Missouri 10 Pennsylvania 19 SOLUTION: 0 3000080040111123456 6333333444444 4 5 5 6 67 9 96 6 6 6 7 7 8889 912345KEY: 1|5 is a state with 15electoral votes. FOR PRACTICE TRY EXERCISE 7. 1. Make stems. The number of electoral votes varies from 3 to 54. Think of single-digit numbers like 3 as 03, and use the first digit of each value as the stem. We need stems from 0 to 5. 2. Add leaves. Place a 9 on the 0 stem for Alabama%u2019s 9 electoral votes, a 3 on the 0 stem for Alaska, a 1 on the 1 stem for Arizona, and so on. 3. Order leaves. 4. Add a key. We can get a better picture of the electoral vote data by splitting stems. In Figure%u00a01.5(a) , the leaves from 0 to 9 are placed on the %u201c0%u201d stem. Figure 1.5(b) shows another stemplot of the same data. This time, leaves 0 through 4 are placed on one stem, while leaves 5 through 9 are placed on another stem. Now we can see the shape of the distribution and potential outliers more clearly. FIGURE 1.5 Two stemplots showing the electoral vote data. The graph in (b) improves on the graph in (a) by splitting stems. 000400000111123456679983333333444444455666666778889912345KEY: 1|5 is a state with 15electoral votes. (a) 08004566799000001111234556666667788899333333344444440112233445KEY: 1|5 is a state with15 electoral votes. (b) %u00a9 Bedford, Freeman & Worth Publishers. For review purposes only. Do not distribute.