Question

Which stem-and-leaf plot represents the dataset {15,34,26,26,18,23}
?(1 point)
Responses

An illustration shows the numbers 30, 20, 10, and 3 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 30 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 20 on the left side of the vertical line and the numbers 6, 6, and 3 on the right side. The third row shows the number 10 on the left side of the vertical line and the numbers 8 and 5 on the right side. The bottom row shows the number 3 on the left side of the vertical line and the number 9 on the right.
Image with alt text: An illustration shows the numbers 30, 20, 10, and 3 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 30 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 20 on the left side of the vertical line and the numbers 6, 6, and 3 on the right side. The third row shows the number 10 on the left side of the vertical line and the numbers 8 and 5 on the right side. The bottom row shows the number 3 on the left side of the vertical line and the number 9 on the right.

An illustration shows the numbers 3, 2, and 1 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 3 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 2 on the left side of the vertical line and the numbers 3, 6, and 6 on the right side. The bottom row shows the number 1 on the left side of the vertical line and the numbers 5 and 8 on the right side.
Image with alt text: An illustration shows the numbers 3, 2, and 1 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 3 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 2 on the left side of the vertical line and the numbers 3, 6, and 6 on the right side. The bottom row shows the number 1 on the left side of the vertical line and the numbers 5 and 8 on the right side.

An illustration shows the numbers 30, 20, and 10 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 30 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 20 on the left side of the vertical line and the numbers 3, 6, and 6 on the right side. The bottom row shows the number 10 on the left side of the vertical line and the numbers 5 and 8 on the right side.
Image with alt text: An illustration shows the numbers 30, 20, and 10 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 30 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 20 on the left side of the vertical line and the numbers 3, 6, and 6 on the right side. The bottom row shows the number 10 on the left side of the vertical line and the numbers 5 and 8 on the right side.

An illustration shows the numbers 3, 2, and 1 written vertically in separate rows. A single vertical line is shown directly to the right of the numbers. The first row shows the number 3 on the left side of the vertical line and the number 4 on the right side. The second row shows the number 2 on the left side of the vertical line and the numbers 3 and 6 on the right side. The bottom row shows the number 1 on the left side of the vertical line and the numbers 5 and 8 on the right side.

Answer 1

To create a stem-and-leaf plot for the dataset {15, 34, 26, 26, 18, 23}, we first separate each number into its "stem" (the leading digit(s)) and "leaf" (the trailing digit).

Here's how the numbers can be separated:

- 15 → Stem: 1, Leaf: 5
- 34 → Stem: 3, Leaf: 4
- 26 → Stem: 2, Leaf: 6
- 26 → Stem: 2, Leaf: 6
- 18 → Stem: 1, Leaf: 8
- 23 → Stem: 2, Leaf: 3

Now we arrange these stems and their corresponding leaves:

- Stem 1: 5, 8
- Stem 2: 3, 6, 6
- Stem 3: 4

So the stem-and-leaf plot will look like this:

```
1 | 5 8
2 | 3 6 6
3 | 4
```

When we analyze the options you provided, the closest match should reflect the correct stems and leaves.

The correct stem-and-leaf plot for the dataset {15, 34, 26, 26, 18, 23} is:

- Stem 1 has leaves of 5 and 8.
- Stem 2 has leaves of 3, 6, and 6.
- Stem 3 has the leaf of 4.

Please check the options you've listed to identify which one matches this correct representation of the dataset.