Question

State, with an​ explanation, whether the​ mean, median, or mode gives the best description of the following average.

The average number of car accidents people have in their lifetime.



Which measurement gives the best description of the given​ average?

A. Median
B. Mode
C. Mean

Why?

A. The distribution is probably symmetric with a single peak.
B. The distribution probably has several peaks.
C. The distribution is probably right skewed with a single peak.
D. The distribution is probably left skewed with a single peak.

Answer 1

C. Mean

A. The distribution is probably symmetric with a single peak.

Explanation:

Mean measurement would give best description of the average number of car accidents people had in their lifetime. There are very less chances of skewed distribution because of the nature of the problem.

The data set in this case is not likely to have extreme variations thats why outliers wont be a problem. Therefore, mean measurement would be a better choice than median.

Example:

The typical data for this problem would look something like this.

2, 4, 4, 3, 5, 2, 1, 3

Mean= Sum of all elements/no. of elements

`mean= (2+4+4+3+5+2+1+3)/8=24/8=4`