The accompanying data set consists of observations on shower- ow rate (L/min) for a sample of n 129 houses in Perth, Australia ( An Application of Bayes Methodology to the Analysis of Diary Records in a Water Use Study, J. Amer. Statist. Assoc., 1987: 705-711):
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4.6
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12.3
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7.1
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7.0
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4.0
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9.2
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6.7
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6.9
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11.5
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5.1
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11.2
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10.5
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14.3
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8.0
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8.8
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6.4
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5.1
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5.6
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9.6
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7.5
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7.5
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6.2
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5.8
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2.3
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3.4
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10.4
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9.8
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6.6
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3.7
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6.4
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8.3
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6.5
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7.6
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9.3
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9.2
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7.3
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5.0
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6.3
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13.8
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6.2
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5.4
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4.8
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7.5
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6.0
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6.9
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10.8
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7.5
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6.6
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5.0
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3.3
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7.6
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3.9
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11.9
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2.2
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15.0
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7.2
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6.1
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15.3
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18.9
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7.2
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5.4
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5.5
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4.3
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9.0
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12.7
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11.3
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7.4
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5.0
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3.5
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8.2
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8.4
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7.3
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10.3
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11.9
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6.0
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5.6
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9.5
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9.3
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10.4
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9.7
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5.1
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6.7
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10.2
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6.2
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8.4
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7.0
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4.8
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5.6
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10.5
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14.6
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10.8
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15.5
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7.5
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6.4
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3.4
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5.5
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6.6
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5.9
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15.0
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9.6
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7.8
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7.0
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6.9
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4.1
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3.6
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11.9
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3.7
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5.7
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6.8
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11.3
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9.3
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9.6
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10.4
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9.3
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6.9
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9.8
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9.1
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10.6
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4.5
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6.2
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8.3
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3.2
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4.9
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5.0
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6.0
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8.2
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6.3
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3.8
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6.0
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a. Construct a stem-and-leaf display of the data.
b. What is a typical, or representative, ow rate?
c. Does the display appear to be highly concentrated or spread out?
d. Does the distribution of values appear to be reasonably symmetric? If not, how would you describe the departure from symmetry?
e. Would you describe any observation as being far from the rest of the data (an outlier)?