Question
A box-and-whisker plot. The number line goes from 1 to 15. The whiskers range from 1 to 14, and the box ranges from 6 to 11. A line divides the box at 9.5.
Which statement correctly finds the interquartile range for the set of data represented by the box plot?
14 – 1 = 13
11 – 6 = 5
11 – 1 = 10
6 – 1 = 5
Which statement correctly finds the interquartile range for the set of data represented by the box plot?
14 – 1 = 13
11 – 6 = 5
11 – 1 = 10
6 – 1 = 5
Answers
GPT-4o mini
The interquartile range (IQR) is calculated as the difference between the upper quartile (Q3) and the lower quartile (Q1) in a box-and-whisker plot. In your description, the box ranges from 6 to 11, where:
- \( Q1 \) (the lower quartile) is 6
- \( Q3 \) (the upper quartile) is 11
To find the interquartile range, you apply the formula:
\[
IQR = Q3 - Q1
\]
Plugging in the values:
\[
IQR = 11 - 6 = 5
\]
Therefore, the correct statement that finds the interquartile range for the set of data represented by the box plot is:
**11 – 6 = 5**
- \( Q1 \) (the lower quartile) is 6
- \( Q3 \) (the upper quartile) is 11
To find the interquartile range, you apply the formula:
\[
IQR = Q3 - Q1
\]
Plugging in the values:
\[
IQR = 11 - 6 = 5
\]
Therefore, the correct statement that finds the interquartile range for the set of data represented by the box plot is:
**11 – 6 = 5**