Use the table to answer the question.

Which of the following data sets is illustrated by this stem-and-leaf plot?

Stem

2

5

6

9

Leaf

5 67

3 8

279

6 6

12

Key 2|5 = 25

answers below:

25, 26, 27, 53, 58, 62, 67, 69, 96, 123

25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123

52, 62, 72, 35, 852, 26, 76, 96, 69, 312

52, 62, 72, 35, 852, 26, 76, 96, 69, 69, 312

1 answer

To extract the data from the stem-and-leaf plot given, we read the stems and leaves as follows:

  • The stem '2' with leaves '5 67' gives us 25, 26, and 27.
  • The stem '5' with leaves '3 8' gives us 53 and 58.
  • The stem '6' with leaves '2 7 9' gives us 62, 67, and 69.
  • The stem '9' with leaves '6' gives us 96.
  • The stem '1' with leaves '2' gives us 112.

So, the complete data set illustrated by the stem-and-leaf plot is: 25, 26, 27, 53, 58, 62, 67, 69, 96, 112.

Now compare this data set with the provided options.

  • First option: 25, 26, 27, 53, 58, 62, 67, 69, 96, 123 - The last number, 123, does not match.
  • Second option: 25, 26, 27, 53, 58, 62, 67, 69, 96, 96, 123 - The last number 123 and the repeated 96 do not match.
  • Third option: 52, 62, 72, 35, 852, 26, 76, 96, 69, 312 - None of these numbers match our data set.
  • Fourth option: 52, 62, 72, 35, 852, 26, 76, 96, 69, 69, 312 - Again, none of these numbers match.

Therefore, none of the provided answer choices reflect the actual data set derived from the stem-and-leaf plot. The dataset derived was 25, 26, 27, 53, 58, 62, 67, 69, 96, and 112, which is not included in the options. If you have other possible answers to consider or need more information, please provide it.

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