Question

susan is a surfer. she kept track of the number of waves she surfed each day last summer. the box - and - whisker plot (sometimes called the data. use the box - and - whisker plot to answer the questions below. (a) which of the following intervals gives the middle 50% of the data? ○ 24 to 41 ○ 24 to 30 ○ 30 to 41 ○ 21 to 30 (b) what is the difference of the largest number and the smallest number of waves susan surfed in a day? (that is, what is the range of the data?) (c) which of these best describes the numbers of waves susan surfed last summer? ○ the number of waves she surfed was below 30 on more days than it was above 30. ○ the number of waves she surfed was above 30 on more days than it was below 30. ○ the number of waves she surfed was below 30 for the same number of days that it was above 30.

Explanation:

Step1: Identify quartiles for (a)

From the plot, $Q_1=24$, $Q_3=41$. Middle 50% is $Q_1$ to $Q_3$.

Step2: Calculate range for (b)

Find min=21, max=58. Range = $58-21=37$.

Step3: Analyze median for (c)

Median (30) splits data. Upper half (above 30) is larger, so more days above 30.

Answer:

(a) 24 to 41
(b) 37
(c) The number of waves she surfed was above 30 on more days than it was below 30.