Question

2. The calories for 20 brands of veggie dogs are given below. (Notice these data have been ordered from smallest to largest.): 40 45 45 45 50 50 55 57 60 60 70 80 80 81 90 100 100 110 95 190 a) Make a five-number summary of the veggie dog calories. b) Now make side-by-side boxplots and compare the distributions of calories for beef dogs and veggie dogs. c) In which quarter - the first, second, third, or fourth - are the data most concentrated for veggie hot dogs? For beef? d) In which quarter - the first second, third, or fourth - is the data most spread out for veggie hotdogs? For beef e) If a data value is more than 1.5 x IQR below the first quartile or more than 1.5 x IQR above the third quartile, it is considered an outlier. Should any of the calorie counts for the beef hot dogs be classified as outliers? Explain. Don't just say that SPSS shows them on the graph.

I want question 2 to be answered. thank you so much

Answer 1

2. a.

Minimum= 40.00, First Quartile=50.00, 2nd Quartile or median=65.00, Third Quartile=93.75, Maximum=190.00.

b.

Boxplot of Calories for beef dogs, Calories for veggie dogs 200 # 175 150 125 Data 100 75 50 Calories for beef dogs Calories for veggie dogs

c.

First quarter=First quartile-minimum=50-40=10, 2nd quarter=2nd quartile-first quartile=65-50=15,

3rd quarter=3rd quartile-2nd quartile=93.75-65=28.75, 4th quarter=maximum-3rd quartile=190-93.75=96.25.

The data is most concentrated in first quarter for veggie hot dogs.

d. The data is most spread out in forth quarter for veggie hot dogs.

e. Lower Whisker=First quartile-1.5(Third Quartile-First Quartile)=50-1.5*(93.75-50)=-15.625

Upper Whisker=Third quartile+1.5(Third Quartile-First Quartile)=93.75+1.5*(93.75-50)=159.375.

Since 190>Upper Whisker so 190 is an outlier.