Section 3.2 Question 10

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Section 3.2 Question 10

Question

Are any of the measures of dispersion among the​ range, the​ variance, and the standard​ deviation, resistant? Explain.

 

Choose the correct answer below.

  1. No, all of these measures of dispersion are affected by extreme values.
  2. Yes, the variance is resistant because it has squared​ units, so is always positive.
  3. Yes, the standard deviation is resistant because it is calculated using the​ mean, which is resistant.
  4. Yes, the range is resistant because it always includes all of the data values.

 

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This question is taken from Math 136 – Introduction to Statistics » Summer 2021 » Homework