Yorkie - 7 pounds
Boxer - 65 pounds
Plott Hound - 50 pounds
Poodle - 60 pounds
Beagle - 22 pounds
Greyhound - 27 pounds
Golden Retriever - 60 pounds
Golden Doodle - 45 pounds
Chihuahua - 5 pounds
Mean: (7+65+50+60+22+27+60+45+5) / 9 = 37.11 pounds
Median: Arrange in ascending order: 5, 7, 22, 27, 45, 50, 60, 60, 65. The median is 45 pounds.
Mode: 60 pounds
The best measure of central tendency to describe the data would be the median because it represents the weight that falls exactly in the middle of the data set, making it less influenced by any outliers in the data. Since dog breeds can vary greatly in size, the median provides a good representation of a typical weight within the data set.
To find the weight of the 10th dog for the average weight to be 250 pounds, we can use the formula:
(7+65+50+60+22+27+60+45+5+x) / 10 = 250
(286+x) / 10 = 250
286 + x = 2500
x = 2214
Therefore, the 10th dog would have to weigh 2214 pounds for the average weight to be 250 pounds.
Task 2
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.
Yorkie
Boxer
Plott Hound
Poodle
beagle
greyhound
Golden retriever
Golden doodle
chihuahua
7
65
50
60
22
27
60
45
5
Answer: The mean of the data is [blank], the median is [blank], the mode is [blank]. The [blank] is the best to describe the data because [blank].
How much would a 10th dog have to weigh for the average weight in part (a) to be 250 pounds? Explain how you determined your answer.
Answer: The 10th dog would have to weigh pit bull for the average weight to be 250 pounds. I got this answer by [blank].
1 answer