Answer :
Final Answer:
The stem-and-leaf diagram organizes body temperature data into stems (tens) and leaves (tenths), aiding visualization of temperature distribution.
Explanation:
To construct a stem-and-leaf diagram for the given body temperature readings, you can follow these steps:
a. Constructing the Stem-and-Leaf Diagram:
1. Identify the tens and ones place in the temperature readings. In this case, use the tenths place for the leaves (the rightmost digit).
2. Create a stem for each ten-degree increment, starting from the lowest temperature reading. In this data set, it appears that temperatures are measured in tenths of a degree, so the stems can be the whole numbers from 99 to 102 (representing the range of temperatures).
3. Place each temperature reading in the appropriate "leaf" category, based on the tenths place. The leaf is the rightmost digit of each temperature reading.
4. Arrange the leaves in ascending order within each stem category.
Here's the stem-and-leaf diagram for the given data:
Stem (Tens) | Leaves (Tenths)
99 | 0 2 2 3 3 4 5 9 9
100 | 2 2 2 3 3 4 5 5 6 6 7 7 8 8 9 9
101 | 6 7
102 | 5
b. Interpreting the Stem-and-Leaf Diagram:
- The stem-and-leaf diagram organizes the body temperature readings into groups based on the tens place of the temperature.
- For example, in the "99" stem, there are values like 99.0, 99.2, 99.2, 99.3, 99.3, 99.4, 99.5, and 99.9.
- In the "100" stem, there are values like 100.2, 100.2, 100.3, 100.5, 100.5, 100.6, 100.6, 100.7, 100.8, 100.8, 100.9, 100.9.
- The diagram provides an organized and visual representation of the distribution of body temperatures, making it easy to identify the most common temperatures and any outliers.
This stem-and-leaf diagram helps you quickly visualize the range and distribution of body temperatures recorded at Overbrook Hospital's emergency room over the weekend.
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