Find the

a. Mean b. median c. mode

For the mean and the median, round each answer to one more decimal place than that used for the observations.

Daily Motorcycle Accidents. The Scottish Executive, Analy. tical Services Division Transport Statistics, compiles data on motor cycle accidents. During one year, the numbers of motorcycle accidents in Scotland were tabulated by day of the week for built-up roads and non-built-up roads and resulted in the following data .

a. Find the mean and median of the number of accidents for built-up roads.

b. Find the mean and median of the number of accidents for non built-up roads.

c. If you had a list of only the day of the week for each accident, what day would be the modal day for each type of road?

d. What might explain the difference in the modal days for the two types of roads?

We have given data for build up:$88,100,76,98,103,85,69.$

and non build up:$70,58,59,53,56,94,102.$

Mean$=\frac{Sumofobservation}{Numberofobservation}$

$$\begin{gathered} =\frac{88+100+76+98+103+85+69}{7} \\ =88.4285 \\ =88.43 \end{gathered}$$

Arrange the data in increasing order :$169,76,85,\left(88\right),98,100,103$

The number of observation is $7$.

The median is the middle observation in the ordered list.

Median is$88$.

Mean$=\frac{Sumofobservation}{Numberofobservation}$

$$\begin{gathered} =\frac{70+58+59+53+56+94+102}{7} \\ =70.28 \\ =70.3 \end{gathered}$$

Arrange the data in increasing order: $53,56,58,\left(59\right),70,94,102$.

The number of observation is $7$.

The median is the middle observation in the ordered list.

Median is$59$.

The number of motorcycle accidents in during 1 year Friday would be the modal day for build up roads and Sunday would be the modal day for non-build up roads.

In a particular year, the total number of motorcycle accidents that happened. Because Friday is a workday, commuters using the build-up roadways are more likely to be involved in accidents; however, non-build-up routes have the second lowest number of accidents.

Sunday is a day when rides in the countryside off paved roads are more likely to be harrowing; keep in mind that Sunday has the fewest paved road accidents.