Question
These two box plots show the distances of a standing jump, in inches, for a random sample of 10-year-olds and a random sample of 15-year-olds. Use these box plots to answer the questions below.
(2 points)
The difference between the two medians is
.
The box plot for the
-year-olds has more spread.
(2 points)
The difference between the two medians is
.
The box plot for the
-year-olds has more spread.
Answers
GPT-4o mini
To answer your questions regarding the box plots for the standing jump distances of 10-year-olds and 15-year-olds, I would need to see the specific box plots you're referencing. However, I can guide you on how to interpret the box plots to find the answers.
1. The difference between the two medians:
- Locate the median (the line inside the box) for each box plot.
- Subtract the median of the 10-year-olds from the median of the 15-year-olds to find the difference between the two medians.
2. The box plot with more spread:
- Look at the range of the boxes (the interquartile range, which is the length of the box showing the spread of the middle 50% of the data) and the length of the "whiskers" on each plot.
- The age group with the wider box and longer whiskers has more spread.
If you describe the box plots to me, I can help you more specifically with the values and the age group that has more spread.
1. The difference between the two medians:
- Locate the median (the line inside the box) for each box plot.
- Subtract the median of the 10-year-olds from the median of the 15-year-olds to find the difference between the two medians.
2. The box plot with more spread:
- Look at the range of the boxes (the interquartile range, which is the length of the box showing the spread of the middle 50% of the data) and the length of the "whiskers" on each plot.
- The age group with the wider box and longer whiskers has more spread.
If you describe the box plots to me, I can help you more specifically with the values and the age group that has more spread.