Question

Kamila wants a puppy. She and her family want to estimate the mean lifespan, in years, of all dog breeds registered with the American Kennel Association.

Kamila selects a random sample of 8 registered dog breeds and looks up their estimated lifespan on the internet. The results are shown.

13 11 12 14 12 10 11 12
Part A

What is the mean for Kamila's sample? Round your answer to the nearest tenth.



The mean lifespan for dogs from Kamila's sample is what
years.

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​Part B

​

​If Kamila took another random sample of 8 dog breeds, how would the mean likely compare to the mean of her first sample? How would the mean likely compare if she took several random samples of 8 dog breeds? Select your answers from the drop-down lists.

​

​The sample mean of another random sample would likely be the same as or different than
the first sample mean.

​The sample means of several random samples would likely be the same valuesordifferent values
.

Answer 1

The mean lifespan for dogs from Kamila's sample is 11.9 years. Another random sample would likely have a different mean due to sample variation, and multiple random samples would likely result in different means as well.

Step-by-step explanation:

To find the mean of Kamila's sample, you add up all the lifespans and divide by the number of breeds in the sample. The sum of the given lifespans is 13 + 11 + 12 + 14 + 12 + 10 + 11 + 12 = 95 years. We divide this sum by the number of dog breeds (8) to get the mean: 95 ÷ 8 = 11.875 years. Rounded to the nearest tenth, the mean lifespan for dogs from Kamila's sample is 11.9 years.

For Part B:

• The sample mean of another random sample would likely be different than the first sample mean due to natural variation in sample selection.
• The sample means of several random samples would likely be different values since each sample is independent and is likely to capture different breeds with potentially varying lifespans.