Questions: The following stem-and-leaf plot represents the distribution of weights for a group of people. Stem Leaves 12 3 3 5 7 7 8 13 1 2 2 5 14 3 4 4 9 15 6 6 7 16 2 3 3 7 7 17 3 4 4 6 9 18 1 1 4 19 7 8 9 20 0 4 7 9 Key: 12 3=123 pounds What is the weight of the heaviest person in the range 160 to 169 inclusive?

The following stem-and-leaf plot represents the distribution of weights for a group of people. Stem Leaves 12 3 3 5 7 7 8 13 1 2 2 5 14 3 4 4 9 15 6 6 7 16 2 3 3 7 7 17 3 4 4 6 9 18 1 1 4 19 7 8 9 20 0 4 7 9 Key: 12 3=123 pounds What is the weight of the heaviest person in the range 160 to 169 inclusive?
Transcript text: The following stem-and-leaf plot represents the distribution of weights for a group of people. \begin{tabular}{c|llllll} Stem & \multicolumn{9}{|c}{ Leaves } \\ \hline 12 & 3 & 3 & 5 & 7 & 7 & 8 \\ 13 & 1 & 2 & 2 & 5 & & \\ 14 & 3 & 4 & 4 & 9 & & \\ 15 & 6 & 6 & 7 & & & \\ 16 & 2 & 3 & 3 & 7 & 7 & \\ 17 & 3 & 4 & 4 & 6 & 9 & \\ 18 & 1 & 1 & 4 & & & \\ 19 & 7 & 8 & 9 & & & \\ 20 & 0 & 4 & 7 & 9 & & \\ & & & & & & \\ & \end{tabular} Key: $12 \mid 3=123$ pounds Step 3 of 3: What is the weight of the heaviest person in the range 160 to 169 inclusive?
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Solution

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Solution Steps

Step 1: Identify the Range

The range of interest is from 160 to 169 as per the question.

Step 2: Locate Relevant Stems

Relevant stems based on the key and the range are: [15, 16].

Step 3: Count or Identify Leaves

Relevant leaves within the range are: [162, 163, 163, 167, 167].

Step 4: Apply the Key

The stems and leaves have been translated into full values using the provided key.

Step 5: Answer the Question

Within the range, there are 5 values. The minimum value is 162 and the maximum value is 167.

Final Answer: Within the range 160 to 169, there are 5 data points. The minimum value is 162 and the maximum value is 167.

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