3. Describing Data Numerically

Regarding measures of variability, which of the following statistics can take on negative values?

Given a population with mean $\mu$ = $40$ and standard deviation $\sigma$ = $8$, what is the z-score of a value $x=56$?

Which of the following symbols identifies the sample variance?

Which of the following sets of data will have the smallest $standarddeviation$?

If the standard deviation for a set of data is $0$, what does this indicate about the data values?

Which characteristic of data is a measure of the amount that the data values vary?

In a normal distribution, approximately what percentage of data falls below a value that is $3-\sigma$ below the mean $\mu$?

If a set of data has a standard deviation of $0$, which of the following must be true about the data?

Which of the following is not a property of the $standarddeviation$?

$$Standard deviation is a measure of which one of the following?$$

If a sample has a standard deviation of $0$, what does this indicate about the data values in the sample?

Which of the following best explains why the $\mathrm{range}$ is less desirable than the $\mathrm{standard\; deviation}$ as a measure of dispersion?

As the standard deviation $\sigma$ decreases, what happens to the graph of the normal distribution curve?

Given the mean of a normal distribution, which of the following best describes the $standard deviation$?

Which of the following best describes the effect of outliers on the $standarddeviation$ of a data set?