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which are true statements when comparing the data in the box plots? sel…

Question

which are true statements when comparing the data in the box plots? select three choices.

■ the data for elementary school are more consistent than those for middle school.
■ more of the data for middle school lie closer to the median than the data for elementary school.
■ about 50% of elementary school students watch between 4 and 7 hours of television each week.
■ about one - half of middle school students watch less than 2 hours of television each week.
■ on average, middle school students watch less television than elementary school students each week.

Explanation:

Step1: Analyze the box - plots

The box - plot for elementary school students has a smaller inter - quartile range (IQR) compared to middle school students. A smaller IQR indicates more consistent data.

Step2: Check the median and data spread

For elementary school students, about 50% of the data lies between 4 and 7 hours. For middle school students, the data is more spread out. Also, looking at the overall range and median positions.

Answer:

  • The data for elementary school are more consistent than those for middle school.
  • About 50% of elementary school students watch between 4 and 7 hours of television each week.
  • On average, middle school students watch less television than elementary school students each week.