Question

Task 2

a. Pick 9 different dog breeds and find their average weights. List each breed
and weight. Find the mean, median, and mode of the data. Which measure of
central tendency best describes the data? Explain your answer.
b. How much would a 10th dog have to weight for the average weight in part (a)
to be 250 pounds? Explain how you determined your answer.

Answer 1

[AI-generated answer — Bot GPT 3.5]

a.

1. Golden Retriever - 55-75 pounds (average = 65 pounds)
2. Labrador Retriever - 55-80 pounds (average = 67.5 pounds)
3. German Shepherd - 50-90 pounds (average = 70 pounds)
4. Bulldog - 40-50 pounds (average = 45 pounds)
5. Poodle - 4-70 pounds (average = 37 pounds)
6. Beagle - 20-30 pounds (average = 25 pounds)
7. Rottweiler - 85-130 pounds (average = 107.5 pounds)
8. Yorkshire Terrier - 4-7 pounds (average = 5.5 pounds)
9. Boxer - 50-70 pounds (average = 60 pounds)

Mean = (65 + 67.5 + 70 + 45 + 37 + 25 + 107.5 + 5.5 + 60)/9 = 56.72 pounds
Median = 60 pounds
Mode = There is no mode as no value appears more than once in the data.

The mean best describes the data as it takes into account each breed's weight and provides an overall average weight of all the breeds.

b. To find out how much a 10th dog would have to weigh for the average weight to be 250 pounds, we need to consider the total weight of all 10 dogs. The current total weight of the 9 dogs is 510.48 pounds (56.72 pounds x 9). To achieve an average weight of 250 pounds for 10 dogs, the total weight should be 2500 pounds (250 pounds x 10). Therefore, the 10th dog would have to weigh 1989.52 pounds (2500 pounds - 510.48 pounds) for the average weight to be 250 pounds.