3. Describing Data Numerically

Which of the following are commonly used measures of center for a data set?

Suppose a population has a mean of $\mu =50$ and a standard deviation of $\sigma =8$. What is the z-score for a value of $x=66$? Round your answer to two decimal places as needed.

Suppose the heights (in centimeters) of five students are $150$, $160$, $170$, $180$, and $190$. What is the mean height of these students?

If the sum of Jason's $5$ quiz scores is $95$, what is the mean (average) of Jason's quiz scores?

What is the mean (average) of the following set of numbers: $2$?

In statistics, what does the $\mathrm{mean}$ represent in a set of numbers?

Which of the following best describes the $\mathrm{mean}$ in a data set?

In a set of numbers, what does the $\mathrm{mode}$ represent?

Given the following single score: $3$, what are the values of $n$ (the number of scores) and $\sum x$ (the sum of the scores)?

Which of the following best describes the $\mathrm{mean}$ in a data set?