In a study of laptop prices, the mean price is $\mathrm{\backslash (}1,200$ with a standard deviation of $\mathrm{\backslash )}180$. The prices follow a bell-shaped distribution. Is a laptop priced at $\$870$ unusual? Explain your reasoning.

Given the data set $2$, $4$, $7$, $9$, and $11$, calculate the mean absolute deviation.

The sample standard deviation for this data is approximately $3.56$. How does the mean absolute deviation compare? Use the formula $\text{MAD}=\frac{\Sigma \mid x-\bar{x}\mid }{n}$.

In a sample of monthly electric bills, the mean is $\mathrm{\backslash (}95$ and the standard deviation is $\mathrm{\backslash )}12$. The bills follow a bell-shaped distribution. Is a bill of $\$125$ unusual? Provide your reasoning.

The following are sample test scores out of $100$ for two different classes. Calculate the coefficient of variation for each class and determine which class has more relative variation.

Class A: $72$, $75$, $78$, $80$, $85$

Class B: $68$, $70$, $75$, $80$, $87$

A wildlife biologist measures the time between sightings of a rare bird. In a sample of $n=120$ sightings, the mean time between sightings is $45.5$ minutes, with a standard deviation of $12.5$ minutes. Using Chebyshev's Theorem, at least how many of the times were between $20.5$ minutes and $70.5$ minutes?

You are evaluating year-end bonus trends at two potential employers. Companies X and Y have an average bonus of $\text{(}5,000$ with standard deviations of $\text{)}800$ and $\text{(}500$, respectively.

If you aim to receive a bonus of $\text{)}6,000$ or higher, at which company is that outcome more likely? Support your answer with statistical reasoning.

Using the Empirical Rule, estimate the number of trees in a sample of $75$ whose heights are between $18$ feet and $26$ feet. Assume the sample mean height is $22$ feet and the standard deviation is $2$ feet.

Using the Empirical Rule, determine which of the following plant heights (in inches) are unusual or very unusual. The heights for eight plants are listed as follows:

$45,52,38,49,43,56,61,40$

Assume the sample mean height is $48$ inches and the standard deviation is $6$ inches.