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. Both graph starts from 50 and ends with 80. Use these box plots to answer the questions below.

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. Both graph starts from 50 and ends with 80. Use these box plots to answer the questions below.

10 year olds: 50-59

15 years olds: 64-80

The box plots above show us how far a group of students jumped. What can you infer about the differences between the two age groups? (2 points)

Answer 1

Based on the box plots, we can infer that, on average, 15-year-olds can jump a greater distance than 10-year-olds. This is because the median jump distance for 15-year-olds is higher (at around 72 inches) compared to the median jump distance for 10-year-olds (at around 54 inches). Additionally, the range for 15-year-olds (64-80 inches) is wider than the range for 10-year-olds (50-59 inches), indicating that there is more variability in jump distances among 15-year-olds compared to 10-year-olds.