Many states face a shortage of fully credentialed teachers. The percentages of teachers who are fully credentialed for each county in California were published in the San Luis Obispo Tribune (July 29, 2001) and are given in the following table:

a. Construct a stem-and-leaf display for this data set using stems 7, 8, 9, and 10. Truncate the leaves to a single digit. Comment on the interesting features of the display.

b. Construct a stem-and-leaf display using repeated stems. Are there characteristics of the data set that are easier to see in the plot with repeated stems, or is the general shape of the two displays similar?

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County Alameda Alpine Amador Butte Calaveras Colusa Contra Costa Del Norte El Dorado Fresno Glenn Humbolt Imperial Inyo Kern Kings Lake Lassen Los Angeles Madera Marin Mariposa Mendicino Percentage Credentialed 85.1 100.0 97.3 98.2 97.3 92.8 87.7 98.8 96.7 91.2 95.0 98.6 79.8 94.4 85.1 85.0 95.0 89.6 74.7 91.0 96.8 95.5 97.2