Section 3.1 Question 8

Navigation   » List of Schools, Subjects, and Courses  »  Math 136 – Introduction to Statistics  »  Homework  »  Section 3.1 Question 8

No Answers We dont have answer to this question yet.  If you need help with your homework send us an email or chat with our tutors

Section 3.1 Question 8

Question

Why is the median​ resistant, but the mean is​ not?

 

Choose the correct answer below.

  1. The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which do not pull the mean in that direction.​ However, the median is pulled in the direction of the extreme​ values, making it resistant.
  2. The median is​ resistant, while the mean is​ not, because when there are extreme values in the​ tail, the value of the median changes while the mean does not.
  3. The mean is not resistant because when data are​ skewed, there are extreme values in the​ tail, which tend to pull the mean in the direction of the tail. The median is resistant because the median of a variable is the value that lies in the middle of the data when arranged in ascending order and does not depend on the extreme values of the data.
  4. The mean is not resistant because it is dependent upon the sample​ size, n. The larger n​ is, the smaller the mean becomes.​ However, the median is resistant because it is not dependent on the sample​ size, n.
We don’t have answer to this question yet.If you need help with your homework send us an email at or chat with our tutors
This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Homework