2. A research team studied the ages of patients who had heart attacks caused by smoking. The ages of 34 patients who suffered a heart attack were as follows.
29 30 36 41 45 50 57 61 28 50 66 58
60 38 36 47 40 32 58 46 61 40 55 32
61 56 45 46 62 66 38 40 40 27
Construct a Stem-and-Leaf Plot using this data with Key: 5 | 7 = 57.
To construct a Stem-and-Leaf plot using the given data, follow these steps:
Step 1: Sort the data in ascending order:
27, 28, 29, 30, 32, 32, 36, 36, 38, 40, 40, 40, 41, 45, 45, 46, 46, 47, 50, 50, 55, 56, 57, 58, 58, 60, 61, 61, 62, 66, 66.
Step 2: Identify the stem and leaf for each data point:
The stem is the tens digit, and the leaf is the ones digit.
Stem | Leaves
-----|--------
2 | 7, 8, 9
3 | 0, 2, 2, 6, 6, 8, 8, 8
4 | 0, 0, 0, 1, 5, 5, 6, 6, 7
5 | 0, 0, 5, 6, 8, 8
6 | 0, 1, 1, 2, 6, 6
Step 3: Write the stem values in ascending order, and list the corresponding leaves next to them:
2 | 7, 8, 9
3 | 0, 2, 2, 6, 6, 8, 8, 8
4 | 0, 0, 0, 1, 5, 5, 6, 6, 7
5 | 0, 0, 5, 6, 8, 8
6 | 0, 1, 1, 2, 6, 6
Step 4: Create the Stem-and-Leaf plot: (Optional for digital representation)
The stem represents the tens digit, and the leaves represent the ones digit.
2 | 7, 8, 9
3 | 0, 2, 2, 6, 6, 8, 8, 8
4 | 0, 0, 0, 1, 5, 5, 6, 6, 7
5 | 0, 0, 5, 6, 8, 8
6 | 0, 1, 1, 2, 6, 6
The key 5 | 7 represents the number 57, where the stem is 5 and the leaf is 7.
And that's how you construct a Stem-and-Leaf plot using the given data.