Chapter 3 Review Homework Question 6

Navigation   » List of Schools, Subjects, and Courses  »  Math 227 – Statistics  »  Chapter 3 Review Homework  »  Chapter 3 Review Homework Question 6

With Answers  Good news! We are showing you only an excerpt of our suggested answer to this question.  Should you need our help in customizing an answer to this question, feel free to send us an email at or chat with our customer service representative.

Chapter 3 Review Homework Question 6

Question

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.

 

 

 

 

Need help with your discussion preparation?

This question is taken from Math 227 – Statistics » Summer 2021 » Chapter 3 Review Homework