Question

maya is a surfer. she kept track of the number of waves she surfed each day last summer. the box - and - whisker plot (sometimes called a boxplot) summarizes the data. use the box - and - whisker plot to answer the questions below. (a) which of these best describes the numbers of waves maya surfed last summer? the number of waves she surfed was below 34 on more days than it was above 34. the number of waves she surfed was above 34 on more days than it was below 34. the number of waves she surfed was below 34 for the same number of days that it was above 34. (b) which of the following intervals gives the middle 50% of the data? 34 to 44, 34 to 40, 40 to 44, 21 to 40 (c) what is the difference of the largest number and the smallest number of waves maya surfed in a day? (that is, what is the range of the data?)

Explanation:

Step1: Recall box - and - whisker plot properties

In a box - and - whisker plot, the box represents the middle 50% of the data. The lower quartile (Q1) is the bottom of the box and the upper quartile (Q3) is the top of the box.

Step2: Analyze part (a)

The number of waves she surfed was below 34 on more days than it was above 34. This is incorrect because the median (middle value) of the box - and - whisker plot is around 40. So, she surfed above 34 on more days.

Step3: Analyze part (b)

The middle 50% of the data is represented by the box. Looking at the box, the interval for the middle 50% of the data is from approximately 34 to 44.

Step4: Analyze part (c)

The range is calculated as the difference between the largest and the smallest values. The smallest value is around 20 and the largest value is around 60. So the range is \(60 - 20=40\).

Answer:

(a) Incorrect statement.
(b) 34 to 44
(c) 40