Question

bellow is a list of calories and cholesterol amounts in 4 randomly selected menu items from 4 different fast food companies.
company menu item calories cholesterol (mg)
mcdonald’s bacon, egg, & cheese biscuit 460 215
mcdonald’s big mac® 590 85
mcdonald’s filet - o - fish® 390 30
mcdonald’s cheeseburger 300 40
burger king whopper® sandwich with cheese 740 115
burger king cheeseburger 280 45
burger king crispy chicken sandwich 670 60
burger king bacon, egg & cheese biscuit 400 170
wendy’s baconator® 960 155
wendy’s bacon double stack® 440 65
wendy’s classic chicken sandwich 490 75
wendy’s sausage, egg, and cheese biscuit 580 285
chick - fil - a chicken biscuit 460 45
chick - fil - a bacon, egg, and cheese biscuit 420 180
chick - fil - a grilled chicken sandwich 390 75
chick - fil - a chicken nuggets (8 count) 250 80
a) using your calculator, find the following summary statistics for calroies for each of the companies.
mean min q1 med q3 max std. dev
mcdonald’s 425 300
burger king 695 740
wendy’s 617.5 440 475 535 700 960 235.57
chick - fil - a 380 250 320 390 440 460 95.
which company has the greatest calorie variability in the distribution? wendy’s
b) there are many methods for determining outliers. two methods frequently used in ap statistics are:
rule #1: an outlier is a value greater than 1.5×iqr above the third quartile or more than 1.5×iqr below the first quartile.
rule #2: an outlier is a value located 2 or more standard deviations above, or below, the mean.

Explanation:

Step1: Recall the concept of variability

Variability can be measured by standard - deviation. Higher standard deviation means greater variability.

Step2: Identify the standard - deviation values

For McDonald's, the standard deviation value is not given completely in the table. For Burger King, the standard deviation is not given completely. For Wendy's, the standard deviation is 235.57. For Chick - fil - A, the standard deviation is 95.

Step3: Compare the standard - deviation values

Since 235.57 (Wendy's) > 95 (Chick - fil - A) and the incomplete values for McDonald's and Burger King are not likely to be greater than 235.57 based on the visible data, Wendy's has the greatest calorie variability.

Answer:

Wendy's