Use the image to answer the question.

An illustration shows three rows of data. A vertical line is drawn after the first digit from the left, thereby splitting the rows into a two-column table. The data are as follows: The first row shows digit 9 in the first column and digits 1 3 in the second column. The second row shows digit 8 in the first column and digits 8 8 9 in the second column. The third row shows digit 7 in the first column and digits 0 6 in the second column.

Corina makes this stem-and-leaf plot based on a dataset. Which dataset did she use?

(1 point)
Responses

70, 76, 88, 88, 89, 91, 93
70, 76, 88, 88, 89, 91, 93

70, 76, 88, 89, 91, 93
70, 76, 88, 89, 91, 93

706, 913, 8,889
706, 913, 8,889

70, 76, 88, 88, 89, 91

1 answer

To interpret Corina's stem-and-leaf plot and determine which dataset was used, we can break down the data.

The first column represents the "stem," which is the first digit of each number, and the second column represents the "leaves," which are the subsequent digits:

  1. The first row shows stem 9 and leaves 1 3, corresponding to the numbers 91 and 93.
  2. The second row shows stem 8 and leaves 8 8 9, corresponding to the numbers 88, 88, and 89.
  3. The third row shows stem 7 and leaves 0 6, corresponding to the numbers 70 and 76.

Thus, when we combine these numbers, we get the dataset:

  • 70
  • 76
  • 88
  • 88
  • 89
  • 91
  • 93

Now we can compare this with the provided options:

  1. 70, 76, 88, 88, 89, 91, 93 – This matches our interpretation exactly.
  2. 70, 76, 88, 89, 91, 93 – This is missing one instance of 88.
  3. 706, 913, 8, 889 – This does not match the stem-and-leaf interpretation.
  4. 70, 76, 88, 88, 89, 91 – This is missing 93.

Based on the analysis, the correct dataset that Corina used is:

70, 76, 88, 88, 89, 91, 93.