Question

The line plot displays the number of roses purchased per day at a grocery store.

A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 10. There are two dots above 6, 7, and 9. There are three dots above 8.

Which of the following is the best measure of variability for the data, and what is its value?

The range is the best measure of variability, and it equals 3.
The range is the best measure of variability, and it equals 9.
The IQR is the best measure of variability, and it equals 3.
The IQR is the best measure of variability, and it equals 9.

Answer 1

The best measure of variability for the number of rose bouquets purchased per day is the range, which has a value of 9.

Step-by-step explanation:

The best measure of variability for the data in the question is the range, and its value is 9. The line plot shows the number of rose bouquets purchased per day at a grocery store, with numbers ranging from 1 to 10. The range is calculated by subtracting the smallest value in the data set from the largest value. Here, the smallest number of bouquets purchased is 1, and the largest is 10, so the range is 10 - 1 = 9. The interquartile range (IQR) would provide information about the spread of the middle 50% of the data, but it is not directly given in the question and cannot be calculated without more information. Hence, for this data, the range is the most straightforward measure of variability that can be determined.