Question

the stem-and-leaf plot below shows the amount of tips received by the servers in a restaurant in one night.
0 | 9
1 | 2 4 7
2 | 3 6 6 8
3 | 1 2 2 4 5
5 | 9
why is the plot misleading?
○ the plot shows that the data is skewed.
○ there is not an equal number of data points for each stem.
○ the plot shows duplicate data points.
○ the stem does not clearly show the outlier.

Explanation:

1. Analyze each option:

• Option 1: Skewness in data is a natural characteristic and not a reason for a stem - and - leaf plot to be misleading. A stem - and - leaf plot can accurately represent skewed data.
• Option 2: The number of data points per stem does not need to be equal. Different stems can have different numbers of data points depending on the data distribution, so this is not a reason for the plot to be misleading.
• Option 3: Duplicate data points are a part of the data and showing them is not a reason for the plot to be misleading. In fact, it accurately represents the frequency of data values.
• Option 4: In a stem - and - leaf plot, the stems should be in sequential order (0, 1, 2, 3, 4, 5...). Here, the stem 4 is missing between 3 and 5. The data point with stem 5 (59) is an outlier, and the missing stem (4) makes it less clear that 59 is an outlier as there is a gap between 3 (for example, the last data point with stem 3 is 35) and 59. So the stem does not clearly show the outlier.

Answer:

The stem does not clearly show the outlier.