Random sampling in business is crucial because it allows companies to gather representative data from a population subset. Sampling is a more efficient and cost$-$effective method than using a census. Measures of center are essential when dealing with large datasets and trying to make sense of the information within them. Measures of spread help us understand how much individual data points deviate from the average, providing insights into the data set's variability $($OpenAI$.,2023).$

Please answer all the questions listed below. Recommend concurrently with your ZyBooks assignments.

A$.$ Sampling. ZyBooks $2\mathrm{.}1$

a$1.$ The textbook outlines four random sampling methods. Which method should you use to sample Starbucks U$.$S$.$ restaurant's accounting practices? Assume there are $15,000$ individual stores $($Finances Online, $2024).$ Explain your choice. Note: Convenience sampling is not a random method.

a$2.$ In what situations could convenience sampling be appropriate? Provide one example where you have seen it used.

B$.$ Measure of Center. ZyBooks $2\mathrm{.}2$

b$1.$ You notice a colleague using the median instead of the mean when describing a large city's home prices. You asked why. What answer should you expect?

b$2.$ What data types are most suited for using the mode, and why?

C$.$ Measure of Spread. ZyBooks $2\mathrm{.}3$

Since the colleague uses the median for the large city home prices, what should they use to measure the spread? Why?

D$.$ Outliers. ZyBooks $2\mathrm{.}4$

Plant Growth Scenario. It is essential to ensure that the time the plants are in sunlight is normally distributed. Your task is to identify any outliers in the data. Use the ZyBooks $1\mathrm{.}5$ method and the attached Excel document. Refer to ZyBooks Example $2\mathrm{.}4\mathrm{.}3$ Detecting outliers for calculations: Report the Q$1,$ Q$3,$ and the outlier$($s$)($if they exist$).$

$45\mathrm{.}5,47\mathrm{.}6,49\mathrm{.}0,49\mathrm{.}7,51\mathrm{.}1,55\mathrm{.}3,56\mathrm{.}7,57\mathrm{.}4,59\mathrm{.}5,60\mathrm{.}9,61\mathrm{.}6,63\mathrm{.}0,64\mathrm{.}4,65\mathrm{.}1,66\mathrm{.}5$

E$.$ Describe an example from your personal or professional experiences using either the measure of center or the measure of spread. Discuss how knowing that information helped you.