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 Frequency Distribution knowledge point, we first list the 20 data values in ascending order to make grouping easier:

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

Group data by tens place (stems)

We separate each number into its tens digit (stem) and units digit (leaf):

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

Construct the final display

We arrange the stems and their corresponding ordered leaves into a standard table format:

• Stem 0 | Leaves: 4, 4, 5, 9
• Stem 1 | Leaves: 0, 3, 5, 5, 6, 7, 7, 8
• Stem 2 | Leaves: 0, 1, 3, 6, 6
• Stem 3 | Leaves: 5, 6
• Stem 4 | Leaves: 0

Answer:

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