The Back-To-Back Stem-And-Leaf Display Compares the Annual Precipitation,in Millimetres,of Two $$\begin{array} { r } Town 1\\3\\\\\1\\\\\\\\55\\4443\\\\0\\9887 \\4\end{array}$$

question 20

Multiple Choice

The back-to-back stem-and-leaf display compares the annual precipitation,in millimetres,of two towns over a period of 14 years.The lower stem contains leaves with the digits 0-4 and the upper stem contains leaves with digits 5-9. $$\begin{array} { r } Town 1\\3\\\\\1\\\\\\\\55\\4443\\\\0\\9887 \\4\end{array}$$ $$\begin{array} { |l| } 24\\24 \\23 \\23 \\22 \\22 \\21 \\21 \\20 \\20 \\19 \\19 \\18 \\18\end{array}$$ $$\begin{array} { l } Town 2\\\\\\\5 \\24 \\5667 \\4 \\57789\\\\\\2\end{array}$$ Key: 20 $\mid 7$ = 20.7 millimetres

• A)The distribution of annual precipitation in Town 1 is bimodal,with one cluster centred around the mid \(20 \mathrm {s}\) and another cluster in the high 18s.There are two high outliers of 23.1 and 24.3 mm for Town 1.In Town 2,the distribution of annual precipitation is unimodal and skewed right,clustered predominantly between 20.5 and 22.4.There is a low outlier of 18.2 mm for Town 2.The annual precipitation is generally higher and more sporadic in Town 1.
• B)The distribution of annual precipitation in Town 1 is bimodal,with one cluster centred around the mid \(20 \mathrm {s}\) and another cluster in the high 18s.There are two high outliers of 23.1 and 24.3 mm for Town 1.In Town 2,the distribution of annual precipitation is unimodal and skewed right,clustered predominantly between 20.5 and 22.4.There is a low outlier of 18.2 mm for Town 2.The annual precipitation is more consistent in Town 2; but overall,both cities have the same average annual precipitation.
• C)The distribution of annual precipitation in Town 1 is bimodal,with one cluster centred around the mid \(20 \mathrm {s}\) and another cluster in the high 18s.There are two high outliers of 23.1 and 24.3 mm for Town 1.In Town 2,the distribution of annual precipitation is unimodal and skewed left,clustered predominantly between 20.5 and 22.4.There is a low outlier of 18.2 mm for Town 2.The annual precipitation is generally higher and more consistent in Town 2.
• D)The distribution of annual precipitation in Town 1 is bimodal,with one cluster centred around the mid \(20 \mathrm {s}\) and another cluster in the high 18s.In Town 2,the distribution of annual precipitation is unimodal and skewed right,clustered predominantly between 20.5 and 22.4.The annual precipitation is generally higher and more consistent in Town 2.
• E)The distribution of annual precipitation in Town 1 is bimodal,with one cluster centred around the mid \(20 \mathrm {s}\) and another cluster in the high 18s.There are two high outliers of 23.1 and 24.3 mm for Town 1.In Town 2,the distribution of annual precipitation is unimodal and skewed right,clustered predominantly between 20.5 and 22.4.There is a low outlier of 18.2 mm for Town 2.The annual precipitation is generally higher and more consistent in Town 2.

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Definitions:

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