Question

construct a stem-and-leaf diagram for the accompanying data, using two lines per stem. 21 49 35 31 40 31 38 36 28 39 22 39 30 23 34 33 37 39 30 40 complete the stem-and-leaf diagram with two lines per stem. (use ascending order.)

Explanation:

Step1: Identify stems and split leaves

First, list all data points: 21, 49, 35, 31, 40, 31, 38, 36, 28, 39, 22, 39, 30, 23, 34, 33, 37, 39, 30, 40.
Stems are the tens digits: 2, 3, 4.
For stem 2: split into two lines (leaves 0 - 4 and 5 - 9).

• Leaves 0 - 4: 21, 22, 23 (leaves: 1, 2, 3)
• Leaves 5 - 9: 28 (leaf: 8)

For stem 3: split into two lines (leaves 0 - 4 and 5 - 9).

• Leaves 0 - 4: 31, 31, 30, 34, 33, 30 (leaves: 1, 1, 0, 4, 3, 0) → sort: 0, 0, 1, 1, 3, 4
• Leaves 5 - 9: 35, 38, 36, 39, 39, 37, 39 (leaves: 5, 8, 6, 9, 9, 7, 9) → sort: 5, 6, 7, 8, 9, 9, 9

For stem 4: split into two lines (leaves 0 - 4 and 5 - 9).

• Leaves 0 - 4: 40, 40 (leaves: 0, 0)
• Leaves 5 - 9: 49 (leaf: 9)

Step2: Construct the stem - leaf diagram

Stem	Leaf (0 - 4)	Leaf (5 - 9)
3	0, 0, 1, 1, 3, 4	5, 6, 7, 8, 9, 9, 9
4	0, 0	9

Answer:

Stem	Leaf (0 - 4)	Leaf (5 - 9)
3	0, 0, 1, 1, 3, 4	5, 6, 7, 8, 9, 9, 9
4	0, 0	9