Question
Select the correct answer from each drop-down menu.
Ten students compared the amount (in dollars) they spent on books each week. The box plot shows the results. The median amount they spent each week is
. The difference of the first and third quartiles of the data set is
.
Box plot graph with whisker ranging from 5 to 90 with median at 50. The box value left of the median is 20 and the box value right of the median is 50.
Ten students compared the amount (in dollars) they spent on books each week. The box plot shows the results. The median amount they spent each week is
. The difference of the first and third quartiles of the data set is
.
Box plot graph with whisker ranging from 5 to 90 with median at 50. The box value left of the median is 20 and the box value right of the median is 50.
Answers
GPT-4o mini
Based on the information provided:
1. The median amount they spent each week is **50**.
2. The difference of the first and third quartiles of the data set (also known as the interquartile range, IQR) can be calculated as follows:
- First quartile (Q1) = 20
- Third quartile (Q3) = 70
The difference is:
\[
\text{IQR} = Q3 - Q1 = 70 - 20 = 50
\]
So, the difference of the first and third quartiles of the data set is **50**.
Final answers:
- The median amount they spent each week is **50**.
- The difference of the first and third quartiles of the data set is **50**.
1. The median amount they spent each week is **50**.
2. The difference of the first and third quartiles of the data set (also known as the interquartile range, IQR) can be calculated as follows:
- First quartile (Q1) = 20
- Third quartile (Q3) = 70
The difference is:
\[
\text{IQR} = Q3 - Q1 = 70 - 20 = 50
\]
So, the difference of the first and third quartiles of the data set is **50**.
Final answers:
- The median amount they spent each week is **50**.
- The difference of the first and third quartiles of the data set is **50**.