Question

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. Labrador Retriever - 55-80 pounds (average 67.5 pounds)
2. German Shepherd - 50-90 pounds (average 70 pounds)
3. Golden Retriever - 55-75 pounds (average 65 pounds)
4. Bulldog - 40-50 pounds (average 45 pounds)
5. Poodle - 4-70 pounds (average 30 pounds)
6. Beagle - 18-30 pounds (average 24 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: (67.5 + 70 + 65 + 45 + 30 + 24 + 107.5 + 5.5 + 60) / 9 = 53.66 pounds
Median: 55 pounds (since there are an odd number of data points)
Mode: No mode (since no weight appears more than once)

The mean best describes the data as it takes into account all weights and gives a balanced representation of the average weight.

b. In order for the average weight to be 250 pounds with 10 dogs, the total weight of all 10 dogs would need to be 2500 pounds (250 x 10). If the current total weight of the 9 dogs is 482.5 pounds (sum of all individual weights), the 10th dog would need to weight 2017.5 pounds (2500 - 482.5) in order for the average weight to be 250 pounds.