Reviewing Data Sets

Forestland

Work Time

Forestland

The top box plot shows the percentage of the land in 20 European countries that is forestland.

  • Read each statement below. Based on the top box plot, decide whether each statement must be true, may be true, or cannot be true. Then justify your answer mathematically.
    • In most of the 20 countries, between 35% and 76% of the land is forestland.
    • In at least one country, exactly 28% of the land is forestland.
    • The mean of the data for these countries is 28%.
  • If the box plot looked like the bottom one, could there be a data set for which the median and mean are both 28%? Explain why or why not this would be possible.