Graphing Data Sets In Exercises 17–32, organize the data using...

Question

Graphing Data Sets In Exercises 17–32, organize the data using the indicated type of graph. Describe any patterns.

Highest-Paid Athletes Use a stem-and-leaf plot that has two rows for each stem to display the data, which represent the incomes (in millions) of the top 30 highest-paid athletes. (Source: Forbes Media LLC)

39 42 41 45 48 48 106 45 88 54 61 37 62 74 40

47 56 57 105 96 37 48 41 64 52 47 45 59 49 104

Accepted Answer

Hello everyone. Let's take a look at this question together. The following data represent the monthly rainfall in centimeters for a city over 24 months, and here we have our data values for the monthly rainfall in centimeters. Construct a stem and leaf plot with two rows for each stem to display the data and describe the distribution. So in order to solve this question, we have to recall what we have learned about constructing a stem and leaf plot with two rows for each stem, and then describe the distribution. So the first step is to take our data and order the data from least to greatest, so then we have our data in order from least to greatest, and then we can determine the stems and how to split each into two rows. Where we know that each stem represents the 10 digit, for example, 1 for 10 through 19, 2 for 20 through 29, and so on. And then for 2 rows per stem. We have the first row, which are the low numbers, contains the leaves for 0 through 4. And then the second row for the high numbers contains leaves 5 through 9. And then we can assign the leaves to each stem and row, and construct our stem and leaf plot. Which will have the following format. Of the first stem with the leaf 0 through 4, which is our low row, and then the stem with our leaf for numbers 5 through 9, which is our high row. And then using our data, we get the following stem and leaf plot where we have 2 rows per stem, where the first row contains the low numbers of 0 through 4, and the second row contains the high numbers of 5 through 9. And looking at our stem and leaf plot, we know that it can be observed from the plot that most of the values are in the lower 20s and fewer are in. The 10s and the 30s. So our stem and leaf plot is the following stem and leaf plot, and we know that from the stem and leaf plot, most of the values are in the lower 20s and fewer are in the 10s and the 30s. Therefore, this makes answer choice D the correct answer, as answer choice D contains the correct stem and leaf plot and the correct description of the distribution. I hope you found this video to be helpful. Thank you and goodbye.

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Key Concepts

Stem-and-Leaf Plot

Data Organization

Describing Patterns

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