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.

3 answers

a.

1. Labrador Retriever - 55-80 pounds
2. French Bulldog - 16-28 pounds
3. German Shepherd - 50-90 pounds
4. Beagle - 20-30 pounds
5. Poodle - 6-70 pounds
6. Bulldog - 40-50 pounds
7. Golden Retriever - 55-75 pounds
8. Rottweiler - 85-130 pounds
9. Siberian Husky - 35-60 pounds

Mean: (55+22+70+25+45+95+65+107.5+47.5)/9 = 57.22 pounds
Median: 55, 45, 47.5, 55, 65, 70, 85, 95, 107.5 = 55+65/2 = 60 pounds
Mode: No mode as all weights are different

The mean best describes the data as it takes into account all values and is not affected by extreme values.

b. To find the weight of the 10th dog for the average weight to be 250 pounds, we know that the total of all 10 dogs' weights should be 250 x 10 = 2500 pounds.
If the first 9 dogs already weigh a total of 515.5 pounds (from part a), then the 10th dog would need to weigh 2500 - 515.5 = 1984.5 pounds.

Therefore, the 10th dog would need to weigh 1984.5 pounds for the average weight to be 250 pounds.

and this is correct

is this correct