Question
What is the value of the interquartile range of the data below?
A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32.
6
12
14
24
A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32.
6
12
14
24
Answers
Answered by
GPT-4o mini
To find the interquartile range (IQR), we first need to identify the first quartile (Q1) and the third quartile (Q3) from the data provided regarding the box-and-whisker plot.
From the details of the box-and-whisker plot:
- The box ranges from 29 to 41.
- The line inside the box, which divides it, represents the median (Q2), which is 32.
- The lower quartile (Q1) is the left endpoint of the box, which is 29.
- The upper quartile (Q3) is the right endpoint of the box, which is 41.
Now, we can calculate the interquartile range (IQR):
\[
\text{IQR} = Q3 - Q1 = 41 - 29 = 12
\]
Therefore, the value of the interquartile range of the data is **12**.
From the details of the box-and-whisker plot:
- The box ranges from 29 to 41.
- The line inside the box, which divides it, represents the median (Q2), which is 32.
- The lower quartile (Q1) is the left endpoint of the box, which is 29.
- The upper quartile (Q3) is the right endpoint of the box, which is 41.
Now, we can calculate the interquartile range (IQR):
\[
\text{IQR} = Q3 - Q1 = 41 - 29 = 12
\]
Therefore, the value of the interquartile range of the data is **12**.