Traffic Light

Traffic investigators from the Department of Transportation are
conducting a study on traffic congestion in bike lanes. They
find a busy intersection and mark the amount of bicycles
waiting at the light in the morning. They recorded the data for
19 light changes and ended up with the following data
Number
of
Bicycles
4
5
6
7
8
9
10
Number
of Times
Observed
6
4
2
2
2
2
1
Number
of
Bicycles
4
5
6
7
8
9
10
Number
of Times
Observed
6
4
2
2
2
2
1
1. Find the median number of bicycles waiting at the traffic
light in the morning.
1. Calculate the mean number of bicycles waiting at the
traffic light in the morning (hint: you will need to know the
total amount of bicycles who waited at the light).
3. After discussing their data they discover that they missed
a light change. When this data is added to their study
their mean goes up by one. How many bicycles were at
the traffic light in their missing data?
4. One of the researchers also marked all the cars that were
waiting at the same intersection to compare the cars and
bicycles. During the 20 light changes he counted 212
cars. What is the difference between the mean for the
cars and the mean for the bicycles?