omar sells exotic plants. he recorded the number of plants he sold each day this past spring. the box - and…

omar sells exotic plants. he recorded the number of plants he sold each day this past spring. 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 plants omar 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? 60 to 64 60 to 63 63 to 64 54 to 63 (c) what is the difference of the highest number and the lowest number of plants omar sold in a day? (that is, what is the range of the data?)

omar sells exotic plants. he recorded the number of plants he sold each day this past spring. 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 plants omar 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? 60 to 64 60 to 63 63 to 64 54 to 63 (c) what is the difference of the highest number and the lowest number of plants omar sold in a day? (that is, what is the range of the data?)

Answer

Explanation:

Step1: Analyze part (a)

In a box - and - whisker plot, the median divides the data into two halves. Here, 60 is the median. So, the number of plants sold was below 60 for the same number of days that it was above 60.

Step2: Analyze part (b)

The box in a box - and - whisker plot represents the middle 50% of the data. The lower end of the box is the first quartile ($Q_1$) and the upper end is the third quartile ($Q_3$). Here, $Q_1 = 60$ and $Q_3=63$, so the interval is 60 to 63.

Step3: Analyze part (c)

The range is calculated as the difference between the maximum and minimum values. The minimum value is 40 and the maximum value is 65. Range = $65 - 40=25$.

Answer:

(a) The number of plants sold was below 60 for the same number of days that it was above 60. (b) 60 to 63 (c) 25