Question
Mr. Banner recorded the amount of time each of his students studied for the math test. The box plot shows the summary of the results. Study Time Amount (minutes) Which statement best describes the data represented in the box plot? Responses A The mean number of minutes the students studied is 45.The mean number of minutes the students studied is 45. B The greatest number of students studied from 35 to 45 minutes.The greatest number of students studied from 35 to 45 minutes. C Half the students studied from 45 to 90 minutes.Half the students studied from 45 to 90 minutes. D The data represent 45 study time amounts.
Answers
GPT-4o mini
To accurately analyze the box plot and determine which statement is correct, we need to interpret the information provided. Here’s a breakdown of the statements:
A. **The mean number of minutes the students studied is 45.**
- This statement requires a calculation of the mean, which cannot be determined from a box plot alone.
B. **The greatest number of students studied from 35 to 45 minutes.**
- This statement cannot be confirmed because a box plot does not provide the number of students or the frequency of study times within specific ranges.
C. **Half the students studied from 45 to 90 minutes.**
- This statement refers to the interquartile range (IQR) represented in the box plot. The median (the line inside the box) divides the data into two halves, suggesting that 50% of the students studied between the lower quartile (25th percentile) and the upper quartile (75th percentile). Depending on the actual values represented in the box plot, this statement may or may not be accurate.
D. **The data represent 45 study time amounts.**
- This statement could potentially be accurate if the box plot is derived from a dataset of 45 values, but this information isn't present in the box plot itself.
Based on typical interpretations of box plots:
- If the box plot indicates that the median study time (the center line of the box) is 45 minutes, then statement A could be true, but we need to calculate the mean.
- If the IQR (between the 1st and 3rd quartiles) covers a range that includes 45 to 90 minutes, then statement C could be correct.
Without visual access to the box plot, it's difficult to explicitly verify which statement is correct. However, based on general box plot knowledge:
- If the data shown suggests that the box spans from 35 to 45 and up to 90, then **C could be the best choice**, indicating a clear division of study times among the students.
Ultimately, selecting an option relies on confirming specific details from the actual box plot presented.
A. **The mean number of minutes the students studied is 45.**
- This statement requires a calculation of the mean, which cannot be determined from a box plot alone.
B. **The greatest number of students studied from 35 to 45 minutes.**
- This statement cannot be confirmed because a box plot does not provide the number of students or the frequency of study times within specific ranges.
C. **Half the students studied from 45 to 90 minutes.**
- This statement refers to the interquartile range (IQR) represented in the box plot. The median (the line inside the box) divides the data into two halves, suggesting that 50% of the students studied between the lower quartile (25th percentile) and the upper quartile (75th percentile). Depending on the actual values represented in the box plot, this statement may or may not be accurate.
D. **The data represent 45 study time amounts.**
- This statement could potentially be accurate if the box plot is derived from a dataset of 45 values, but this information isn't present in the box plot itself.
Based on typical interpretations of box plots:
- If the box plot indicates that the median study time (the center line of the box) is 45 minutes, then statement A could be true, but we need to calculate the mean.
- If the IQR (between the 1st and 3rd quartiles) covers a range that includes 45 to 90 minutes, then statement C could be correct.
Without visual access to the box plot, it's difficult to explicitly verify which statement is correct. However, based on general box plot knowledge:
- If the data shown suggests that the box spans from 35 to 45 and up to 90, then **C could be the best choice**, indicating a clear division of study times among the students.
Ultimately, selecting an option relies on confirming specific details from the actual box plot presented.