Question

(a) which of these best describes the numbers of plants henry sold this past spring?
the number of plants sold was below 60 on more days than it was above 60.
the number of plants sold was above 60 on more days than it was below 60.
the number of plants sold was below 60 for the same number of days that it was above 60.
(b) which of the following intervals gives the middle 50% of the data?
54 to 63
60 to 63
63 to 65
60 to 65
(c) what is the difference of the highest number and the lowest number of plants henry sold in a day? (that is, what is the range of the data?)

Explanation:

Step1: Analyze part (a)

In a box - and - whisker plot, the median divides the data into two halves. The lower half of the data is below the median and the upper half is above the median. If the median is 60, then 50% of the data is below 60 and 50% is above 60.

Step2: Analyze part (b)

The inter - quartile range (IQR) represents the middle 50% of the data. The lower quartile \(Q_1\) and upper quartile \(Q_2\). From the box - and - whisker plot, if \(Q_1 = 60\) and \(Q_2=63\), the middle 50% of the data lies in the interval \(60\) to \(63\).

Step3: Analyze part (c)

The range of a data set in a box - and - whisker plot is calculated as \( \text{Range}=\text{Maximum}-\text{Minimum}\). From the plot, if the maximum value is \(65\) and the minimum value is \(54\), then \( \text{Range}=65 - 54=11\)

Answer:

(a) The number of plants sold was below 60 on more days than it was above 60.
(b) 60 to 63
(c) 11