High School

A sample of patients arriving at Overbrook Hospital's emergency room recorded the following body temperature readings over the weekend:

100.6, 99.8, 101.7, 100.0, 102.3, 101.4, 102.5, 101.4, 102.4, 102.6, 101.8, 101.7, 99.9, 102.2, 101.2, 102.7, 100.7, 101.5, 101.4, 102.4

a. Construct a stem-and-leaf diagram.

Stem | Leaf
99 | 8, 9
100 | 0, 6, 7
101 | 2, 4, 4, 4, 5, 7, 7, 8
102 | 2, 3, 4, 4, 5, 6, 7

b. Interpret the stem-and-leaf diagram.

- The distribution is negatively skewed.
- The temperatures ranged from a low of 99.8 to a high of 102.7.
- The distribution is not symmetric; it is negatively skewed.
- The majority of patients recorded a temperature higher than 101.

Answer :

Final answer:

The stem-and-leaf diagram displays the recorded body temperature readings at Overbrook Hospital's emergency room. The distribution is negatively skewed, with the majority of temperatures falling between 100 and 102 degrees Fahrenheit.

Explanation:

The stem-and-leaf diagram shows the recorded body temperature readings at Overbrook Hospital's emergency room over the weekend. The stem represents the tens place of each temperature, while the leaves represent the ones place. For example, the stem '99' has leaves '8' and '9', indicating temperatures of 99.8 and 99.9 degrees Fahrenheit.

The stem-and-leaf diagram helps in interpreting the distribution of the body temperatures. From the diagram, we can see that the majority of temperatures are in the range of 100 to 102 degrees Fahrenheit. The distribution is negatively skewed, with more temperatures on the higher end.

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