9. In a skating competition, the marks of judges are randomly selected to count.
Then the highest and lowest marks are
dropped, and the skater receives the mean
of the remaining marks.
These are some of the marks that 11 judges
gave a skater for a
free-skating
program.
6.75 6.25 6.50
6.00 5.75 6.50
7.25 7.00 6.75
6.50 6.25
Suppose that four
marks were
dropped.
a) Remove four marks that would lower
the mean score the most. Calculate the
new mean and median.
b) Remove four marks that would raise
the mean score the most. Calculate the
new mean and median.