a.
1. Labrador Retriever - 55-80 pounds (average weight 67.5 pounds)
2. German Shepherd - 50-90 pounds (average weight 70 pounds)
3. Golden Retriever - 55-75 pounds (average weight 65 pounds)
4. Bulldog - 40-50 pounds (average weight 45 pounds)
5. Poodle - 45-70 pounds (average weight 57.5 pounds)
6. Beagle - 20-30 pounds (average weight 25 pounds)
7. Rottweiler - 80-135 pounds (average weight 107.5 pounds)
8. Yorkshire Terrier - 4-7 pounds (average weight 5.5 pounds)
9. Boxer - 65-80 pounds (average weight 72.5 pounds)
Mean: Sum of all weights divided by 9 = (67.5 + 70 + 65 + 45 + 57.5 + 25 + 107.5 + 5.5 + 72.5) / 9 = 61.7222 pounds
Median: The middle weight after arranging them in order = 65 pounds
Mode: The weight that appears most frequently = There is no mode in this data set
The mean best describes the data as it takes into account all the weights and gives an average value.
b. To find out how much a 10th dog would need to weigh for the average weight to be 250 pounds, we know that the sum of all 10 weights should be 2500 pounds (10 dogs * 250 pounds).
The current sum of the weights for 9 dogs is (67.5 + 70 + 65 + 45 + 57.5 + 25 + 107.5 + 5.5 + 72.5) = 516 pounds.
Therefore, the 10th dog would need to weigh (2500 - 516) = 1984 pounds for the average weight to be 250 pounds.
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 10^(th) dog have to weight for the average weight in part (a) to be 250 pounds? Explain how you determined your answer.
1 answer