Show Work An insurance institute conducted tests with crashes of new cars travel
ID: 3042917 • Letter: S
Question
Show Work
An insurance institute conducted tests with crashes of new cars traveling at 6 mi/h. The total cost of the damages was found for a simple random sample of the tested cars and listed below. Find the (a) mean, (b) median, (c) mode, and (d) midrange for the given sample data. Do the different measures of center differ very much?
$7,547 $4,866 $8,994 $6,2926 $4,256
a. The mean is $ (Type an integer or a decimal.)
b. The median is $ (Type an integer or a decimal.)
c. Select the correct choice below and fill in any answer boxes in your choice.
A. The mode is $ (Use a comma to separate answers as needed.)
B. There is no mode.
d. The midrange is $ (Type an integer or a decimal.)
Do the different measures of center differ very much?
A. The median and mean differ by a very large amount.
B. Only the mean is different by a large amount.
C. There is a very large difference between the three measures.
D. The different measures of center do not differ by very large amounts.
Explanation / Answer
R CODE:
cost_for_damage = c(7547,4866,9884,62926,4256)
> cfd=cost_for_damage
a.
> mean(cfd)
[1] 17895.8
b.
> median(cfd)
[1] 7547
c.
> mode(cfd)
[1] "numeric"
There is no Mode. Because all has the same frequency. there is no repeatation.
d. midrange=(max(cfd)+min(cfd))/2
> midrange
[1] 33591
max(cfd)
[1] 62926
> min(cfd)
[1] 4256
The measures of central tendency vary much. Mean and Median differ by a very large amount.
Because there is an outkier present in the data.