These two box plots show the distances of a jump in inches for a random sample of 10year Olds and a random sample of 15 year Olds. Use these box plots to answer the questions below.

Answer 1

1. Which age group, on average, jumps farther?

Based on the box plots, it appears that the 15-year-olds jump farther on average compared to the 10-year-olds. This can be seen by comparing the median lines of the two box plots, with the median line for the 15-year-olds being higher than the median line for the 10-year-olds.

2. Are there more outliers in the 10-year-old group or the 15-year-old group?

In the box plot for the 10-year-olds, there is one outlier which is significantly higher than the rest of the data points. In contrast, the box plot for the 15-year-olds does not show any outliers. Therefore, there are more outliers in the 10-year-old group.

3. Which age group has a larger range of jump distances?

The range of jump distances for the 15-year-olds appears to be larger than that of the 10-year-olds based on the box plots. This is because the length of the whiskers of the 15-year-olds' box plot is longer than that of the 10-year-olds' box plot.

4. Are there any 15-year-olds who jump a shorter distance than the shortest jump of the 10-year-olds?

Based on the box plots, there is no overlap between the jump distances of the 10-year-olds and 15-year-olds. Therefore, there are no 15-year-olds who jump a shorter distance than the shortest jump of the 10-year-olds.