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