Question

using rule #1, are there any outliers in the wendy’s distribution? show your work.
using rule #2, are there any outliers in the wendy’s distribution? show your work.
c) draw four modified boxplots comparing the calories for each of the four companies.
d) in your town, mcdonald’s and burger king are on the northside and wendy’s and chick - fil - a are on the southside. using your calculator, find the following summary statistics for cholesterol for the northside and southside fast food restaurants.

	mean	min	q1	med	q3	max	std. dev
southside

which region has the greatest cholesterol variability in the distribution?

Explanation:

Since we don't have the actual data for the Wendy's distribution (to apply rule #1 and rule #2 for outliers), or the calorie - data for the four companies to draw box - plots, or the cholesterol data for the Northside and Southside restaurants to calculate summary statistics, we'll assume a general process for answering such questions.

Step1: Recall outlier rules

Typically, rule #1 for outliers in a box - and - whisker plot uses the inter - quartile range (IQR). IQR = Q3 - Q1. Lower fence = Q1 - 1.5IQR and upper fence = Q3+1.5IQR. Data points below the lower fence or above the upper fence are outliers.

Step2: Calculate IQR

If we had the data for Wendy's, we would first find Q1 and Q3. Then calculate IQR = Q3 - Q1.

Step3: Determine fences

Calculate the lower fence as Q1 - 1.5IQR and the upper fence as Q3 + 1.5IQR. Then check for data points outside these fences.

Step4: Box - plot construction

To draw modified box - plots for the four companies' calorie data, we would need to find the minimum, Q1, median, Q3, and maximum for each company's calorie data. Plot the box from Q1 to Q3 with a line at the median, and whiskers to the minimum and maximum (excluding outliers which are plotted as individual points).

Step5: Summary statistics calculation

For the cholesterol data of Northside and Southside restaurants, we would use a calculator to find the mean (sum of all values divided by the number of values), minimum, Q1, median, Q3, maximum, and standard deviation (a measure of the amount of variation or dispersion of a set of values).

Step6: Compare variability

To determine which region has the greatest cholesterol variability, we would compare the standard deviations of the Northside and Southside cholesterol data. The region with the larger standard deviation has greater variability.

Since we have no data, we can't give numerical answers. But the general process for answering these questions is as described above.

Answer:

Without the actual data for Wendy's distribution, calorie data for the four companies, and cholesterol data for Northside and Southside restaurants, we cannot provide specific numerical answers for outliers, box - plot values, summary statistics, or the region with the greatest variability.