a.
1. Labrador Retriever - 55-80 pounds
2. German Shepherd - 50-90 pounds
3. Golden Retriever - 55-75 pounds
4. Bulldog - 40-50 pounds
5. Poodle - 45-70 pounds
6. Beagle - 20-30 pounds
7. Rottweiler - 85-135 pounds
8. Yorkshire Terrier - 4-7 pounds
9. Siberian Husky - 35-60 pounds
Calculating the average weights:
Labrador Retriever: (55+80)/2 = 67.5
German Shepherd: (50+90)/2 = 70
Golden Retriever: (55+75)/2 = 65
Bulldog: (40+50)/2 = 45
Poodle: (45+70)/2 = 57.5
Beagle: (20+30)/2 = 25
Rottweiler: (85+135)/2 = 110
Yorkshire Terrier: (4+7)/2 = 5.5
Siberian Husky: (35+60)/2 = 47.5
Mean: (67.5 + 70 + 65 + 45 + 57.5 + 25 + 110 + 5.5 + 47.5) / 9 = 54.11 pounds
Median: Arranging the weights in ascending order: 25, 45, 47.5, 55, 57.5, 65, 67.5, 70, 110
Median = 57.5 pounds
Mode: There is no mode as there are no repeating weights.
b.
To find the weight a 10th dog would have to weigh for the average to be 250 pounds, we would need to calculate the total weight of the 9 dogs and the 10th dog to include:
Total weight = 9 * 54.11 = 486.99
Weight of 10th dog = (10 * 250) - 486.99 = 2500 - 486.99 = 2013.01
Therefore, the 10th dog would need to weigh approximately 2013.01 pounds for the average weight to be 250 pounds.
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.
1 answer