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

101.6, 102.5, 101.4, 102.0, 101.0, 102.4, 102.5, 101.4, 101.0, 101.1, 101.5, 101.0, 102.1, 101.0, 102.0, 99.1, 102.5, 100.1, 102.2, 100.2

a. Construct a stem-and-leaf diagram.

Stem | Leaf
---- | ----
99 | 1
100 | 1 2
101 | 0 0 0 0 1 4 4 5 6
102 | 0 0 1 2 4 5 5 5

b. Interpret the stem-and-leaf diagram.

The distribution is negatively skewed.

The stem-and-leaf diagram represents emergency room body temperature readings, showing a negatively skewed distribution with more high temperatures. In constructing such diagrams, stems must be ordered, and leaves sorted within stems.

Explanation:

The stem-and-leaf diagram provided represents body temperature readings recorded at Overbrook Hospital's emergency room. The stem represents the tens and whole degree values, while each leaf shows the tenths of a degree, giving a clear visual distribution of the temperatures. When constructing a stem-and-leaf diagram, ensure that the stems are in ascending order and that the leaves are sorted from smallest to largest within each stem category.

The correct interpretation of the stem-and-leaf diagram is that the distribution of body temperature readings appears to be negatively skewed. This means that there are more high-temperature readings stretching out to the left of the distribution's peak than there are low-temperature readings to the right. A negatively skewed distribution typically has a longer tail on the left side, indicating a cluster of higher values in the dataset.

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