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Stem Leaf Weights

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Stem Leaf Weights


1. We are given a set of weights in kilograms: $0.3, 0.4, 0.9, 0.1, 0.2, 1.0, 0.2, 1.1, 0.4, 1.3, 1.6, 1.1, 2.3, 0.2$. 2. Our goal is to create an ordered stem-and-leaf diagram. The stems will be the integer parts of the weights, and the leaves will be the decimal parts. 3. Identify the stems by looking at the integer part of each weight: - Stem 0: weights less than 1.0 (e.g., 0.1, 0.2, 0.3, 0.4, 0.9, etc.) - Stem 1: weights between 1.0 and less than 2.0 (e.g., 1.0, 1.1, 1.3, 1.6) - Stem 2: weights between 2.0 and less than 3.0 (e.g., 2.3) 4. Extract leaves by taking the decimal parts (multiplying fractional part by 10): - Stem 0 leaves: $0.1, 0.2, 0.2, 0.2, 0.3, 0.4, 0.4, 0.9$ corresponds to leaves $1,2,2,2,3,4,4,9$ - Stem 1 leaves: $1.0, 1.1, 1.1, 1.3, 1.6$ corresponds to leaves $0,1,1,3,6$ - Stem 2 leaves: $2.3$ corresponds to leaf $3$ 5. Sort the leaves and write the stem-and-leaf diagram: $$ \begin{array}{c|l} \text{Stem} & \text{Leaves} \\ \hline 0 & 1 \ 2 \ 2 \ 2 \ 3 \ 4 \ 4 \ 9 \\ 1 & 0 \ 1 \ 1 \ 3 \ 6 \\ 2 & 3 \end{array} $$ 6. Interpretation: The stem represents the integer part and the leaves represent the first digit after the decimal point for each weight. Thus, the ordered stem-and-leaf diagram is complete.