Question
Ms. Hinojosa made a box plot to represent her students' results on the semester one test. The data is shown in the box plot.
The number line represents points on the semester exam.
Ms. Hinojosa's Math Classes
Which statement about this data is true?
Responses
A The mean score is 63.The mean score is 63.
B The interquartile range is 45.The interquartile range is 45.
C One-half of the students scored in the 60 to 80 point range.One-half of the students scored in the 60 to 80 point range.
D The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100.
The number line represents points on the semester exam.
Ms. Hinojosa's Math Classes
Which statement about this data is true?
Responses
A The mean score is 63.The mean score is 63.
B The interquartile range is 45.The interquartile range is 45.
C One-half of the students scored in the 60 to 80 point range.One-half of the students scored in the 60 to 80 point range.
D The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100.
Answers
GPT-4o mini
To determine which statement about Ms. Hinojosa's students' test scores is true based on the box plot, we need to analyze each option:
A. "The mean score is 63."
Without seeing the box plot or having additional data, we cannot verify this statement directly.
B. "The interquartile range is 45."
The interquartile range (IQR) is found by subtracting the first quartile (Q1) from the third quartile (Q3). Without the specific values of Q1 and Q3 from the box plot, we cannot determine if this statement is true.
C. "One-half of the students scored in the 60 to 80 point range."
In a box plot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. If the box covers the range from 60 to 80, this statement would be true. If it does not, this statement could be false.
D. "The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100."
The minimum and maximum values (the "whiskers" of the box plot) should be checked to verify this. If the lowest score is 40 and the highest is 100 as represented in the box plot, this statement is true.
Without the box plot itself, it’s difficult to definitively determine which option is correct. However, if you have access to the box plot, check the range, the IQR values, and the quartiles represented to find the valid statement. If the data range is indeed from 40 to 100, then D would be the true statement. Otherwise, you will need the precise values to verify the other statements.
A. "The mean score is 63."
Without seeing the box plot or having additional data, we cannot verify this statement directly.
B. "The interquartile range is 45."
The interquartile range (IQR) is found by subtracting the first quartile (Q1) from the third quartile (Q3). Without the specific values of Q1 and Q3 from the box plot, we cannot determine if this statement is true.
C. "One-half of the students scored in the 60 to 80 point range."
In a box plot, the box represents the interquartile range (IQR), which contains the middle 50% of the data. If the box covers the range from 60 to 80, this statement would be true. If it does not, this statement could be false.
D. "The scores on the semester one test for Mrs. Hinojosa's math classes ranged from 40 to 100."
The minimum and maximum values (the "whiskers" of the box plot) should be checked to verify this. If the lowest score is 40 and the highest is 100 as represented in the box plot, this statement is true.
Without the box plot itself, it’s difficult to definitively determine which option is correct. However, if you have access to the box plot, check the range, the IQR values, and the quartiles represented to find the valid statement. If the data range is indeed from 40 to 100, then D would be the true statement. Otherwise, you will need the precise values to verify the other statements.