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he box plot represents the number of students who used a computer in the media center in 12 days.

A box plot uses a number line from 28 to 86 with tick marks every 2 units. The box extends from 48 to 70 on the number line. A line in the box is at 62.5. The lines outside the box end at 32 and 81. The graph is titled Computer Use, and the line is labeled Number of Students.

Determine which of the following is the five-number summary of the data.

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81
Min: 35, Q1: 48, Median: 61.5, Q3: 70, Max: 79
Min: 30, Q1: 44, Median: 60, Q3: 70, Max: 82
Min: 32, Q1: 48, Median: 61, Q3: 70, Max: 81

1 answer

To find the five-number summary from the box plot you described, we can directly interpret the information you provided:

  1. Minimum (Min): This is the smallest value represented by the lower line (whisker) of the box plot. According to your description, the lower line ends at 32.

  2. First Quartile (Q1): This is the lower edge of the box in the box plot. The box extends from 48 to 70, so Q1 is 48.

  3. Median: This is represented by the line inside the box. You mentioned it is at 62.5.

  4. Third Quartile (Q3): This is the upper edge of the box, which according to your description is 70.

  5. Maximum (Max): This is the largest value represented by the upper line (whisker) of the box plot. According to your description, the upper line ends at 81.

Thus, the five-number summary is:

  • Min: 32
  • Q1: 48
  • Median: 62.5
  • Q3: 70
  • Max: 81

From the options you provided, this corresponds to the first option:

Min: 32, Q1: 48, Median: 62.5, Q3: 70, Max: 81.