Question

twenty members of a health club who jog were asked how many miles they jog per week. the responses are. construct a stem-and-leaf display. for single digit data, use a stem of 0.

\

$$\begin{tabular}{|c|c|c|c|c|} \\hline 13 & 17 & 4 & 5 & 10 \\\\ \\hline 26 & 20 & 35 & 18 & 4 \\\\ \\hline 9 & 26 & 40 & 23 & 17 \\\\ \\hline 15 & 21 & 36 & 15 & 16 \\\\ \\hline \\end{tabular}$$

complete the stem-and-leaf display.

(use ascending order.)

Explanation:

Sort the raw data

Using the Stem-and-Leaf Display knowledge point
The given dataset consists of 20 values:

$$ \{13, 17, 4, 5, 10, 26, 20, 35, 18, 4, 9, 26, 40, 23, 17, 15, 21, 36, 15, 16\} $$

Sorted in ascending order:

$$ 4, 4, 5, 9, 10, 13, 15, 15, 16, 17, 17, 18, 20, 21, 23, 26, 26, 35, 36, 40 $$

Group data by tens digit (stems)

Using the Stem-and-Leaf Display knowledge point

• Stem 0 (values 0–9): \(4, 4, 5, 9\)
• Stem 1 (values 10–19): \(10, 13, 15, 15, 16, 17, 17, 18\)
• Stem 2 (values 20–29): \(20, 21, 23, 26, 26\)
• Stem 3 (values 30–39): \(35, 36\)
• Stem 4 (values 40–49): \(40\)

Construct the stem-and-leaf display

Using the Stem-and-Leaf Display knowledge point

• Stem 0: leaves are \(4, 4, 5, 9\)
• Stem 1: leaves are \(0, 3, 5, 5, 6, 7, 7, 8\)
• Stem 2: leaves are \(0, 1, 3, 6, 6\)
• Stem 3: leaves are \(5, 6\)
• Stem 4: leaves are \(0\)

Answer:

Stem	Leaf
1	0, 3, 5, 5, 6, 7, 7, 8
2	0, 1, 3, 6, 6
3	5, 6
4	0