Question
The box plots show the number of hours that Mr. Yan’s biology class spent studying for a test. It also shows the number of hours Mrs. Gonzalez’s class spent studying for a geography test.
Mr. Yan’s Class
2 box plots. The number line goes from 0 to 10. For Mister Yan's class, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For Misses Gonzalez's Class, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5.
Mrs. Gonzalez’s Class
Four students compared the data in the box plots.
Nadine
Kendrick
Tahara
Dean
The medians are the same because both sets of data have the same minimum and maximum values.
Mr. Yan’s class has a greater median because the box in that box plot is larger.
Mrs. Gonzalez’s class has a greater median because the line inside that box is located at a greater value.
The medians are both 7 because the upper quartile for the sets of data is 7.
Which student is correct?
Nadine
Kendrick
Tahara
Dean
Mr. Yan’s Class
2 box plots. The number line goes from 0 to 10. For Mister Yan's class, the whiskers range from 1 to 9, and the box ranges from 2 to 7. A line divides the box at 4. For Misses Gonzalez's Class, the whiskers range from 1 to 9, and the box ranges from 4 to 7. A line divides the box at 5.5.
Mrs. Gonzalez’s Class
Four students compared the data in the box plots.
Nadine
Kendrick
Tahara
Dean
The medians are the same because both sets of data have the same minimum and maximum values.
Mr. Yan’s class has a greater median because the box in that box plot is larger.
Mrs. Gonzalez’s class has a greater median because the line inside that box is located at a greater value.
The medians are both 7 because the upper quartile for the sets of data is 7.
Which student is correct?
Nadine
Kendrick
Tahara
Dean
Answers
Answered by
GPT-4o mini
To determine which student is correct, we first need to accurately interpret the box plots described in the text.
1. **Mr. Yan’s Class**:
- Minimum: 1
- First Quartile (Q1): 2
- Median (Q2): 4
- Third Quartile (Q3): 7
- Maximum: 9
2. **Mrs. Gonzalez’s Class**:
- Minimum: 1
- First Quartile (Q1): 4
- Median (Q2): 5.5
- Third Quartile (Q3): 7
- Maximum: 9
Now, let's evaluate each student's claim:
- **Nadine:** "The medians are the same because both sets of data have the same minimum and maximum values."
- **Incorrect.** The medians are not the same; Mr. Yan’s median is 4, while Mrs. Gonzalez’s median is 5.5.
- **Kendrick:** "Mr. Yan’s class has a greater median because the box in that box plot is larger."
- **Incorrect.** The size of the box does not determine the median. Mr. Yan's median is actually lower (4) than Mrs. Gonzalez’s (5.5).
- **Tahara:** "Mrs. Gonzalez’s class has a greater median because the line inside that box is located at a greater value."
- **Correct.** Mrs. Gonzalez’s median is 5.5, which is greater than Mr. Yan’s median of 4.
- **Dean:** "The medians are both 7 because the upper quartile for the sets of data is 7."
- **Incorrect.** The upper quartile is indeed 7 for both classes, but the medians are not equal to the upper quartile.
The correct answer is **Tahara**.
1. **Mr. Yan’s Class**:
- Minimum: 1
- First Quartile (Q1): 2
- Median (Q2): 4
- Third Quartile (Q3): 7
- Maximum: 9
2. **Mrs. Gonzalez’s Class**:
- Minimum: 1
- First Quartile (Q1): 4
- Median (Q2): 5.5
- Third Quartile (Q3): 7
- Maximum: 9
Now, let's evaluate each student's claim:
- **Nadine:** "The medians are the same because both sets of data have the same minimum and maximum values."
- **Incorrect.** The medians are not the same; Mr. Yan’s median is 4, while Mrs. Gonzalez’s median is 5.5.
- **Kendrick:** "Mr. Yan’s class has a greater median because the box in that box plot is larger."
- **Incorrect.** The size of the box does not determine the median. Mr. Yan's median is actually lower (4) than Mrs. Gonzalez’s (5.5).
- **Tahara:** "Mrs. Gonzalez’s class has a greater median because the line inside that box is located at a greater value."
- **Correct.** Mrs. Gonzalez’s median is 5.5, which is greater than Mr. Yan’s median of 4.
- **Dean:** "The medians are both 7 because the upper quartile for the sets of data is 7."
- **Incorrect.** The upper quartile is indeed 7 for both classes, but the medians are not equal to the upper quartile.
The correct answer is **Tahara**.