Answer
First method:
$Mean=40.42~km/h$
$Median=40.28~km/h$
Second method:
$Mean=40.42~km/h$
Third method:
$Mean=40.42~km/h$
The three values agree.
Work Step by Step
Winning speed in ascending order:
39.56, 39.93, 40.02, 40.28, 40.56, 40.94, 41.65
First method:
$Mean=\frac{39.56+39.93+40.02+40.28+40.56+40.94+41.65}{7}=40.42$
There are 7 observations (odd). The median is the value of the fourth observation.
$Median=40.28$
Second method:
$Mean=\frac{3278+3391+3427+3453+3593+3662+3687}{82.087+83.601+83.687+86.251+86.291+91.538+92.552}=40.42$
Third method:
$Mean=\frac{3499}{86.572}=40.42$
