Question

2.5. Suppose that the weekly unit sales for two small franchise stores in Florida and Colorado are recorded over a one year period. The following boxplots display the resulting weekly unit sales in intervals of 25.

Select all of the statements that describe the two boxplots above.
A)Weekly unit sales in Florida are more consistent than weekly sales in Colorado.
B)The first quartile of weekly unit sales in Florida is less than the first quartile of weekly unit sales in Colorado.
C)Weekly unit sales in Colorado have more extreme values than weekly sales in Florida.
D)The median of weekly unit sales in Florida is greater than the median of weekly sales in Colorado.
E)The top 25% of weekly unit sales in Colorado has less variation than the top 25% of weekly sales in Florida

Answer 1

The Statements which correctly describes the boxplots are :

• D)The median of weekly unit sales in Florida is greater than the median of weekly sales in Colorado.

• C)Weekly unit sales in Colorado have more extreme values than weekly sales in Florida.

• A)Weekly unit sales in Florida are more consistent than weekly sales in Colorado.

From the boxplot given , we can deduce the following;

Colorado :

• Top 25% = First quartile value = 165
• Median sale (vertical line in the box) = 185
• The distribution is left skewed , with majority of the values being on the right of the distribution.

Florida :

• Top 25% = First quartile value = 180
• Median sale (vertical line in the box) = 215
• The distribution is approximately normal , with the values being evenly distributed on either side of the distribution.

Hence, the correct statements are A, C and D