Question

determine the original set of data.
1|0 1 6
2|1 4 4 7 9
3|3 5 5 5 7 8
4|0 1
legend: 1|0 represents 10

the original set of data is □.
(use a comma to separate answers as needed. use ascending order.)

Explanation:

Step1: Analyze the stem-and-leaf plot

The stem is the left part, and the leaf is the right part. For each stem, we combine it with each leaf to get the data points.

• Stem 1: Leaves are 0, 1, 6. So the data points are \(10, 11, 16\) (since \(1|0\) represents 10, so \(1\times10 + 0 = 10\), \(1\times10 + 1 = 11\), \(1\times10 + 6 = 16\)).
• Stem 2: Leaves are 1, 4, 4, 7, 9. So the data points are \(21, 24, 24, 27, 29\) ( \(2\times10 + 1 = 21\), \(2\times10 + 4 = 24\), \(2\times10 + 4 = 24\), \(2\times10 + 7 = 27\), \(2\times10 + 9 = 29\)).
• Stem 3: Leaves are 3, 5, 5, 5, 7, 8. So the data points are \(33, 35, 35, 35, 37, 38\) ( \(3\times10 + 3 = 33\), \(3\times10 + 5 = 35\), \(3\times10 + 5 = 35\), \(3\times10 + 5 = 35\), \(3\times10 + 7 = 37\), \(3\times10 + 8 = 38\)).
• Stem 4: Leaves are 0, 1. So the data points are \(40, 41\) ( \(4\times10 + 0 = 40\), \(4\times10 + 1 = 41\)).

Step2: Combine all data points and sort them

Combine all the data points: \(10, 11, 16, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41\).
They are already in ascending order.

Answer:

10, 11, 16, 21, 24, 24, 27, 29, 33, 35, 35, 35, 37, 38, 40, 41