Question

here is 9 different dog breeds and their average weights:

Australian Shepherd- 50
Australian Cattle Dog- 33
Basset Hound- 50
Beagle- 28
Border Collie- 41
Border Terrier- 13
Boston Terrier- 15
Boxer- 66
Bulldog- 50
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]

Mean: (50 + 33 + 50 + 28 + 41 + 13 + 15 + 66 + 50) / 9 = 35.22

To find the median, arrange the weights in ascending order: 13, 15, 28, 33, 41, 50, 50, 50, 66. The median is the middle value, which in this case is 41.

Mode: The mode is the value that appears most frequently in the data set. In this case, the mode is 50 as it appears three times.

The measure of central tendency that best describes the data is the mean, as it takes into account all the values in the data set and provides a more accurate representation of the average weight.

To calculate how much a 10th dog would have to weigh for the average weight to be 250 pounds, you can set up the equation: (50 + 33 + 50 + 28 + 41 + 13 + 15 + 66 + 50 + x) / 10 = 250. Solving for x, the weight of the 10th dog would have to be 500 pounds in order to have an average weight of 250 pounds.