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Data Analysis, SM-Bank 052 MC

The stem plot below displays the average number of decayed teeth in 12-year-old children from `31` countries.

\begin{array} {r|lll}
\textbf{Stem} & \textbf{Leaf} \\
\hline 0 & 2 \\
0 & 5\ 6\ 7\ 7 \ 8\ 9\  \\
1 & 0\ 0\ 0\ 0\ 1\ 4\ 4\ 4\\
1 & 5\ 6\ 7 \\
2 & 3\ 3\ 4 \\
2 & 7\ 7\ 8\ 8 \\
3 & 0\ 4 \\
3 & 5\ 6 \\
4 & 1 \\
4 & 7 \\
\end{array}
\(\text{key:  }0|2=0.2\)

Based on this stem plot, the distribution of the average number of decayed teeth for these countries is best described as

  1. positively skewed with a median of 15 decayed teeth and a range of 45
  2. approximately symmetric with a median of 1.5 decayed teeth and a range of 4.5
  3. negatively skewed with a median of 1.5 decayed teeth and a range of 4.5
  4. positively skewed with a median of 1.5 decayed teeth and a range of 4.5
Show Answers Only

\(D\)

Show Worked Solution

\(\text{Median = 16th value} = 1.5\)

\(\text{Range} = 4.7-0.2=4.5\)

\(\text{The clear tail to the upper end of values shows that the}\)

\(\text{data is positively skewed.}\)

\(\Rightarrow D\)

Filed Under: Data Analysis Tagged With: num-title-ct-core, smc-4224-35-Describing datasets, smc-4224-40-Stem and Leaf

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