marie made the box plot below to display a set of data. which set of data could the box plot represent? 0…

marie made the box plot below to display a set of data. which set of data could the box plot represent? 0, 5, 10, 15, 25, 35, 40 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35 5, 10, 15, 20, 25, 30, 35

marie made the box plot below to display a set of data. which set of data could the box plot represent? 0, 5, 10, 15, 25, 35, 40 0, 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35, 40 5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35 5, 10, 15, 20, 25, 30, 35

Answer

Explanation:

Step1: Identify box - plot features

The minimum value of the box - plot is around 10, the first quartile ($Q_1$) is around 15, the median ($Q_2$) is around 20, the third quartile ($Q_3$) is around 25, and the maximum value is around 35.

Step2: Analyze each option

  • Option 1: The minimum value is 0, which does not match the box - plot's minimum of around 10.
  • Option 2: The minimum value is 0, which does not match.
  • Option 3: The minimum value is 5, closer to 10 than 0 in previous options. The values can be arranged to have $Q_1\approx15$, $Q_2\approx20$, $Q_3\approx25$ and maximum around 35.
  • Option 4: The minimum value is 5, but the set does not have enough spread to match the box - plot characteristics well.

Answer:

5, 6, 10, 12, 13, 15, 17, 17, 25, 30, 35