3. Describing Data Numerically

Which of the following is not a property of the $standard deviation$?

A population has a mean of $\mu$ = $9$ and a sum of scores $\Sigma x$ = $54$. How many scores are in the population?

In the context of displaying error bars on a graph, which quantity is most commonly used to represent the variability of the data?

Given the data set consisting of a single value $10$, what is the standard deviation of this set?

An observation is considered an outlier if it is below which of the following values in a normal distribution?

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

According to the empirical rule for a normal distribution, $99.7\%$ of $7$-year-old children are between which of the following heights if the mean height is $48$ inches and the standard deviation is $2$ inches?

If the unit of a dataset is $\mathrm{meters}$, the unit for population variance would be

The standard deviation of the distribution of sample means is $\frac{\sigma }{\sqrt{n}}$.

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

Given the data set $5,7,9,10,14$, what is the value of the standard error of the mean for this sample?

Which of the following is a good point estimator for the population standard deviation?

Which term represents the number of standard deviations an observation is from the $\mathrm{mean}$?

$\mathrm{Standard deviation}$ is a direct measure of which of the following in a data set?

Suppose you have two histograms, Histogram A and Histogram B, each representing the distribution of exam scores for two different classes. Histogram A shows scores tightly clustered around the $\mathrm{mean}$, while Histogram B shows scores spread out over a wider range. Which histogram depicts a higher $\mathrm{standard\; deviation}$?