Question

The diagram shows the repairs performed on 2 types of cars.

Compare the car types using the median and the mean.
Roadsters
Bandits
1
+
2
3
4
5
6
7
8
9
Repairs per Vehicle
The medians and the means are the
same for both car types.
Bandits have a lower median and a
lower mean than Roadsters.
The median is the same for both car
types, but Bandits have the lower
mean.
Roadsters have the lower median,
but the mean is the same for both car
types.

Answer 1

The median is the same for both car

types, but Bandits have the lower

mean.

Explanation:

From the boxplot attached, the median value for both car types can be clearly seen to be the same as the vertical line in between the box of both plots lie at the same point.

As for the mean which is the average of a set of data we could deduce from the plot that, the roadster data has a larger span than the bandit data with a far greater third percentile value. Hence, mean or average data for roadster will be higher Than that if bandits.