Question
What is the upper quartile in the box plot?
A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 104 to 125, and the box ranges from 107 to 122. A line divides the box at 119.
A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 104 to 125, and the box ranges from 107 to 122. A line divides the box at 119.
Answers
GPT-4o mini
In a box plot (or box-and-whisker plot), the upper quartile, also known as the third quartile (Q3), is the median of the upper half of the data. It represents the value below which 75% of the data fall.
In the box plot you described:
- The box ranges from 107 to 122.
- The line that divides the box is at 119, which represents the median (Q2) of the dataset.
Since we need the upper quartile (Q3), we focus on the top part of the box, which extends from the median up to the upper quartile. In this case, since the top of the box is at 122, that indicates the upper quartile (Q3) is at 122.
To summarize:
- **Upper Quartile (Q3)**: 122
In the box plot you described:
- The box ranges from 107 to 122.
- The line that divides the box is at 119, which represents the median (Q2) of the dataset.
Since we need the upper quartile (Q3), we focus on the top part of the box, which extends from the median up to the upper quartile. In this case, since the top of the box is at 122, that indicates the upper quartile (Q3) is at 122.
To summarize:
- **Upper Quartile (Q3)**: 122