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.
which region has the greatest cholesterol variability in the distribution?

Explanation:

Step1: Recall measure of variability

The standard - deviation is a measure of variability.

Step2: Identify given standard - deviations

For Northside, we don't have the standard - deviation value given in the provided work. For Southside, we don't have the standard - deviation value given in the provided work. But if we assume we need to use the range (a simple measure of variability) which is \(Range = Max - Min\). For Northside, \(Range_{Northside}=Max - Min\), but Max is not given. For Southside, \(Range_{Southside}=775 - 45=730\). Since we have no information about Northside's Max value, we cannot fully compare using range. If we assume we are only comparing based on the given non - standard deviation values we have, we note that for variability in terms of the spread between Min and the known quartiles and mean, Southside has a larger spread from the Min value (45) to Q1 (70) and to the mean (76) compared to the limited information we have for Northside. But a proper comparison would require the standard deviation values. Assuming we have to make a choice with the given information, we consider the spread from Min to the highest known value (Q3 for Southside).

Answer:

Southside (assuming no other information about Northside's upper values)