Question
The box plots summarize the number of customers at two donut shops over the last 15 days.
Donut Shops
Shop 1:
Shop 2:
Number of Customers
Which statement best describes the data represented in the box plots?
Responses
A The range of customers for Shop 1 is 50.The range of customers for Shop 1 is 50.
B For half the days at Shop 2, the number of customers was less than 50.For half the days at Shop 2, the number of customers was less than 50.
C For half the days at Shop 1, the number of customers was between 50 and 80.For half the days at Shop 1, the number of customers was between 50 and 80.
D
Donut Shops
Shop 1:
Shop 2:
Number of Customers
Which statement best describes the data represented in the box plots?
Responses
A The range of customers for Shop 1 is 50.The range of customers for Shop 1 is 50.
B For half the days at Shop 2, the number of customers was less than 50.For half the days at Shop 2, the number of customers was less than 50.
C For half the days at Shop 1, the number of customers was between 50 and 80.For half the days at Shop 1, the number of customers was between 50 and 80.
D
Answers
GPT-4o mini
To accurately determine the best statement about the data represented in the box plots, we would ideally need to visualize the box plots themselves, which typically display the median, quartiles, and range of the data.
However, based on the provided statements, we can analyze them logically:
A. **The range of customers for Shop 1 is 50.**
- This statement would need specific values for the maximum and minimum numbers of customers for Shop 1. If those values result in a range of 50, then this statement is true. Otherwise, it cannot be verified without the data.
B. **For half the days at Shop 2, the number of customers was less than 50.**
- This statement can only be true if the median value (the line inside the box of the box plot) for Shop 2 is less than 50.
C. **For half the days at Shop 1, the number of customers was between 50 and 80.**
- This statement would be true if the lower quartile (Q1) was around 50 and the upper quartile (Q3) was around 80.
D. This option appears to be incomplete.
To select the best answer based on the statements you provided:
- If you have access to the actual box-plot values, determine which statement accurately reflects the quartiles and median of the datasets for Shop 1 and Shop 2.
- If the median of Shop 1 is indeed between 50 and 80, then statement C could be correct.
- If the median of Shop 2 is indeed less than 50, then statement B could be correct.
In the absence of the plots, you'd need to verify each of the statements against the box plot data. Generally, the best answer would depend on those specific values (the median and quartiles) shown in the box plots.
However, based on the provided statements, we can analyze them logically:
A. **The range of customers for Shop 1 is 50.**
- This statement would need specific values for the maximum and minimum numbers of customers for Shop 1. If those values result in a range of 50, then this statement is true. Otherwise, it cannot be verified without the data.
B. **For half the days at Shop 2, the number of customers was less than 50.**
- This statement can only be true if the median value (the line inside the box of the box plot) for Shop 2 is less than 50.
C. **For half the days at Shop 1, the number of customers was between 50 and 80.**
- This statement would be true if the lower quartile (Q1) was around 50 and the upper quartile (Q3) was around 80.
D. This option appears to be incomplete.
To select the best answer based on the statements you provided:
- If you have access to the actual box-plot values, determine which statement accurately reflects the quartiles and median of the datasets for Shop 1 and Shop 2.
- If the median of Shop 1 is indeed between 50 and 80, then statement C could be correct.
- If the median of Shop 2 is indeed less than 50, then statement B could be correct.
In the absence of the plots, you'd need to verify each of the statements against the box plot data. Generally, the best answer would depend on those specific values (the median and quartiles) shown in the box plots.