3. Describing Data Numerically

Which characteristic must be known about a data set before the empirical rule can be applied?

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

Standard deviation is commonly used to measure which type of risk in a data set? $\sigma$

For a given dataset, the unit for the population standard deviation would be:

Which of the following is true regarding the standard error of the estimate ($\mathrm{SE}$)?

Which of the following statements about the standard deviation of a dataset is correct?

Given the sample data set consisting of a single value $8$, what is the variance of the sample?

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

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

Find the standard deviation of the sample below. Round your answer to the nearest tenth.

$Which\; of\; the\; following\; groups\; of\; scores\; would\; have\; the\; smallest\; standard\; deviation?$

A sample of $n=5$ scores has a mean of $m=20$ and a sample variance of $s^2=4$. What is the sample standard deviation?

Given the data set $4,8,12,24$, what is the standard deviation of the data (rounded to two decimal places)?

In statistics, which symbol is commonly used to represent the standard error of the sample mean $m$?