A track coach is trying to improve the 50 -meter-dash times of the track team. He times each student and then implements a month-long training program. At the end of the program, he timed each of the students again. The box plots show the number of seconds it took the students to run the 50 -meter-dash before and after the program. Using the plots, how much did the median change? CLEAR CHECK 0 2 3 5
To calculate the change in median, take the initial median (before the program) and subtract it from the final median (after the program).
In this case, the median time before the program is between 5 and 6 seconds, and the median time after the program is between 3 and 4 seconds.
Final Median: (3 + 4) / 2 = 3.5 seconds
Initial Median: (5 + 6) / 2 = 5.5 seconds
Change in Median: 3.5 - 5.5 = -2 seconds
Therefore, the median time for the 50-meter dash improved by 2 seconds after the training program.