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5.3 Displaying Distributions: Stemplots z The population of the United States is

ID: 3356669 • Letter: 5

Question

5.3 Displaying Distributions: Stemplots z The population of the United States is aging, though less rapidly than in other developed countries. Figure 5.19 is a stemplot of the percents of residents aged 65 and over in the 50 states, according to the 2010 Census. The stems e whole percents and the leaves are tenths of a percent. ar 718 10 479 11 49 12 223334 899 13 P02334555566778889 14 012344555599 15 69 16 1 174 Figure 5.19 Stemplot of the percentages of residents aged 65 and over in the 50 states, for Exercise 7 (a) Alaska is an outlier with the lowest percentage of older residents (Florida has the highest). What is the percentage for Alaska? (b) Ignoring Alaska, describe the shape, center, and variability of this distribution

Explanation / Answer

(a)

It is given that Alaska is an low outlier so it must be minimum value of the distribution. So required value is 7.8%.

(b)

If we ignore Alaks then stem and leaf will be from stem 9 to stem 17.

The ned stem and leaf is almots symmetric. There is no outlier.

The center should be between 13% to 14%. Spread of the distribution is from 9.0% to 17.4%.

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