Question

d) in your town, mcdonalds and burger king are on the northside and wendys 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?

	northside	southside
min	20	45
q1	70	70
med	75	75
q3	76	76
max
std. dev

Explanation:

Step1: Recall measure of variability

Common measures are range, inter - quartile range (IQR), and standard deviation. Range = Max - Min, IQR = Q3 - Q1.

Step2: Calculate range for Northside

Range_Northside = Max_Northside - Min_Northside. From the table, Max_Northside is not given, Min_Northside = 20. Since key values are missing, we use standard deviation as a measure. Standard deviation for Northside is not given.

Step3: Calculate range for Southside

Range_Southside = Max_Southside - Min_Southside. From the table, Max_Southside is not given, Min_Southside = 45. Since key values are missing, we use standard deviation as a measure. Standard deviation for Southside is given as 10.

Step4: Analyze variability

Since standard deviation for Southside is given as 10 and no other variability measures are available for Northside, we assume Southside has a known measure of variability compared to Northside with incomplete data. Southside is likely to have the greatest variability (as we can't calculate for Northside properly).

Answer:

Southside