Question

The table shows the maze-completion times, in seconds, of two sets of mice in an experiment.Which statement is true about the variability of the group times?

Answer 1

the time in Group B has a greater interquartile range.

Explanation:

Answer 2

The value of
`Q_(1) , Q_(2) ,`, and
`Q_(3)` of each data is shown in the diagram below

Group A

Mean =
`(41+44+45+48+49+50+52+54+55+58)/(10) =49.6`
Median = 49.5
Range =
`58-41=17`
Interquartile Range =
`Q_(3)- Q_(1) =54.5-44.5=10`

Group B
Mean =
`(40+41+43+45+48+52+55+57+60+62)/(10)=50.3`
Median = 50
Range = 62-40=22
Interquartile range = 58.5-42 = 16.5

Correct statement: the time in Group B has a greater interquartile range