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?
The value of [tex]Q_{1} , Q_{2} , [/tex], and [tex]Q_{3} [/tex] of each data is shown in the diagram below
Group A
Mean = [tex] \frac{41+44+45+48+49+50+52+54+55+58}{10} =49.6[/tex] Median = 49.5 Range = [tex]58-41=17[/tex] Interquartile Range = [tex] Q_{3}- Q_{1} =54.5-44.5=10[/tex]
Group B Mean = [tex] \frac{40+41+43+45+48+52+55+57+60+62}{10}=50.3 [/tex] 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