Questions: Determine the original set of data. Stem Leaves 5 7 6 2 7 09 8 5 9 37 10 69 11 679 12 2389 13 79 Legend: 517 represents 5.7

Solution Steps

To determine the original set of data from the given stem-and-leaf plot, we need to combine each stem with its corresponding leaves. Each leaf represents a digit that follows the stem, and the legend indicates that the numbers are in the format of one decimal place.

We start by extracting the data from the given stem-and-leaf plot. Each stem represents the integer part of the number, and each leaf represents the decimal part. According to the legend, the number \(517\) represents \(5.7\).

We combine each stem with its corresponding leaves to form the original data set. For example, the stem \(5\) with leaf \(7\) forms the number \(5.7\).

The original data set is obtained by combining all stems and leaves as follows: \[ \begin{align_} 5 & : 7 \rightarrow 5.7 \\ 6 & : 2 \rightarrow 6.2 \\ 7 & : 0, 9 \rightarrow 7.0, 7.9 \\ 8 & : 5 \rightarrow 8.5 \\ 9 & : 3, 7 \rightarrow 9.3, 9.7 \\ 10 & : 6, 9 \rightarrow 10.6, 10.9 \\ 11 & : 6, 7, 9 \rightarrow 11.6, 11.7, 11.9 \\ 12 & : 2, 3, 8, 9 \rightarrow 12.2, 12.3, 12.8, 12.9 \\ 13 & : 7, 9 \rightarrow 13.7, 13.9 \\ \end{align_} \]

Final Answer