Chapter 3 Review Homework Question 6

Each of the following three data sets represents the IQ scores of a random sample of adults. IQ scores are known to have a mean and median of 100.

For each data​ set, compute the mean and median.

What is the mean of the sample of size​ 5?

What is the mean of the sample of size​ 12?

What is the mean of the sample of size​ 30?

What is the median of the sample of size​ 5?

What is the median of the sample of size​ 12?

What is the median of the sample of size​ 30?

For each data set recalculate the mean and​ median, assuming that the individual whose IQ is 108 is accidently recorded as 180

What is the mean of the new sample of size​ 5?

What is the mean of the new sample of size​ 12?

What is the mean of the new sample of size​ 30?

What is the median of the new sample of size​ 5?

What is the median of the new sample of size​ 12?

What is the median of the new sample of size​ 30?

For each sample​ size, state what happens to the mean and median.

For each sample​ size, the mean ________, and the mediam remains mostly constant.

Comment on the role that the number of observations plays in resistance.

1. As the sample size​ increases, the impact of the misrecorded data on the mean remains the same.
2. As the sample size​ increases, the impact of the misrecorded data on the mean decreases.
3. As the sample size​ increases, the impact of the misrecorded data on the mean increases.