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If the data in the stem-and-leaf graph below were shown in a dot plot, which statement(s) would be true of the dot plot?

Test Scores
Stem Leaves
6 8 7
0 8 0, 6, 8, 8, 9
6, 6, 7, 7, 8, 8, 9
10 0, 0, 0, 0, 0

a) You could calculate the range and median.
b) The dot plot would be flat.
c) You would not be able to find the mean.
d) The individual data would not be shown.

1 Answer

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Final answer:

In a dot plot version of the given stem-and-leaf graph, one could calculate both the range and median, the plot would not be flat, the mean could be determined, and individual data points would be clearly displayed.

Step-by-step explanation:

If the data in the stem-and-leaf graph were shown in a dot plot, the following statements would apply:

  • a) You could calculate the range and median. A dot plot displays each data point, making it possible to determine the range (the difference between the highest and lowest values) and the median (the middle value when all the scores are arranged in order).
  • b) The dot plot would not be flat; this description is more applicable to a histogram if the data was uniformly distributed, which is not indicated here.
  • c) You would be able to find the mean; while it isn't directly marked on a dot plot like the median could be, as long as you have the individual data points, you can calculate the mean.
  • d) The individual data would be shown; unlike histograms, which group data into bins, dot plots show every single data point, preserving the original data values.

The stem-and-leaf graph is a precursor to creating a dot plot as it already separates data into individual values, which makes transferring the data straightforward.

User Prithvi Bhola
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