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 2. There are two dots above 8. There are three dots above 6, 7, and 9.

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 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.

Answer 1

Given the information from the line plot, the range is the appropriate measure of variability for the number of roses purchased per day, and its value is 8 rose bouquets.

Step-by-step explanation:

The line plot provided indicates that 1 rose bouquet was purchased on certain days and up to 9 rose bouquets on others. Since we are asked to identify the best measure of variability and its value, we should consider the range and the interquartile range (IQR). The range is calculated by subtracting the smallest value from the largest (9 - 1 = 8). However, to determine the IQR, we need to know the values of the first quartile (Q1) and third quartile (Q3) of the data, which are not provided in this case.

Without this information, we can only definitively state that the range is the best measure of variability in this scenario, since it can be calculated directly from the given information. The range for this data is 8 rose bouquets. If the values of the quartiles were provided, we could calculate the IQR and determine if it is a better measure for the variability.