Question

A report includes a statement that the​ "average" test score of applicants to medical schools is 28.4. What is the role of the term​ "average" in​ statistics? Should another term be used in place of​ average?

Answer 1

c

Explanation:

The term​ "average" is not used in statistics. The term​ "mean" should be used for the result obtained by adding all of the data values and dividing the total by the number of data values.

Answer 2

See explanation below.

Explanation:

The average is measure of central tendency that is also called sample mean and is calculated from the following formula:

`\bar X = (\sum_(i=1)^n X_i)/(n)`

This is an estimator of the population mean and is unbiased since the expected value for the estimator is the same parameter as we can see here:

`E(\bar X)=(\sum_(i=1)^n E(X_i))/(n) =(n\mu)/(n)=\mu`

And is important because is the most common measure of central tendency reported on any study.

Is important to remember that this measure can be affected by outliers , for this case when we have outliers is better use the median as a measure of central tendency