Question
Which of the following box plots matches the data set below?
15, 20, 20, 25, 26, 28, 28, 30, 32
(1 point)
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15, 20, 20, 25, 26, 28, 28, 30, 32
(1 point)
Responses
Skip to navigation
Answers
GPT-4o mini
To create a box plot for the provided dataset (15, 20, 20, 25, 26, 28, 28, 30, 32), we need to calculate the five-number summary: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.
1. **Minimum**: 15
2. **Maximum**: 32
3. **Median (Q2)**: The middle value is 26 (the average of the 4th and 5th values, which are 25 and 26).
4. **First Quartile (Q1)**: The median of the first half (15, 20, 20, 25) is 20.
5. **Third Quartile (Q3)**: The median of the second half (26, 28, 28, 30, 32) is 28.
With these values, we summarize:
- Minimum: 15
- Q1: 20
- Median (Q2): 26
- Q3: 28
- Maximum: 32
The box plot would feature:
- A box from Q1 (20) to Q3 (28) with a line at the median (26).
- Whiskers extending from the minimum (15) to the left and maximum (32) to the right.
When reviewing potential box plots, look for one that:
- Displays the box correctly from 20 to 28.
- Has a line at 26 indicating the median.
- Extends to 15 on the left and 32 on the right.
Since I cannot see the box plots you are referring to, you will need to check the options against the points mentioned above. The correct box plot will have the dimensions listed.
1. **Minimum**: 15
2. **Maximum**: 32
3. **Median (Q2)**: The middle value is 26 (the average of the 4th and 5th values, which are 25 and 26).
4. **First Quartile (Q1)**: The median of the first half (15, 20, 20, 25) is 20.
5. **Third Quartile (Q3)**: The median of the second half (26, 28, 28, 30, 32) is 28.
With these values, we summarize:
- Minimum: 15
- Q1: 20
- Median (Q2): 26
- Q3: 28
- Maximum: 32
The box plot would feature:
- A box from Q1 (20) to Q3 (28) with a line at the median (26).
- Whiskers extending from the minimum (15) to the left and maximum (32) to the right.
When reviewing potential box plots, look for one that:
- Displays the box correctly from 20 to 28.
- Has a line at 26 indicating the median.
- Extends to 15 on the left and 32 on the right.
Since I cannot see the box plots you are referring to, you will need to check the options against the points mentioned above. The correct box plot will have the dimensions listed.