Suppose that the weekly unit sales for two small franchise stores in Texas and N
ID: 3042019 • Letter: S
Question
Suppose that the weekly unit sales for two small franchise stores in Texas and New York 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.
-Weekly unit sales in New York have more extreme values than weekly sales in Texas.
-The top 25% of weekly unit sales in New York has less variation than the top 25% of weekly sales in Texas.
-Weekly unit sales in Texas are more consistent than weekly sales in New York.
-The first quartile of weekly unit sales in Texas is less than the first quartile of weekly unit sales in New York.
-The median of weekly unit sales in Texas is greater than the median of weekly sales in New York.
New York Texas 200 225 250 275 300 125 150 175 Weekly sales (product units)Explanation / Answer
-Weekly unit sales in New York have more extreme values than weekly sales in Texas.
This is TRUE. The lowest and highest sales numbers for New York are approximately 135 and 275. The same numbers for Texas are 150 and 250. These numbers are having a much narrow interval between them.
-The top 25% of weekly unit sales in New York has less variation than the top 25% of weekly sales in Texas.
FALSE. The intervsl of top 25% for New York is from 220 to 275. Same interval for Texas is from 230 to 250, a much narrower range and hence lower variation.
-Weekly unit sales in Texas are more consistent than weekly sales in New York.
TRUE. Overall the sales of New York are very much varying as its box plot has more breadth in the various quartiles. Texas is more convenient because its values are more closely bunched together.
-The first quartile of weekly unit sales in Texas is less than the first quartile of weekly unit sales in New York.
FALSE. First quartile for Texas is actually more than for New York. It is 30 (150 to 180) against 15 (135 to 150)
-The median of weekly unit sales in Texas is greater than the median of weekly sales in New York.
TRUE. Median for Texas is at 210 against 185 for New York
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