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Which of the following measures of dispersion is affected by extreme values?

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Question: Which of the following measures of dispersion is affected by extreme values?

Options:

  1. Range
  2. Interquartile Range
  3. Variance
  4. Standard Deviation

Correct Answer: Range

Solution: 

Range is affected by extreme values as it is calculated as the difference between the maximum and minimum values.

Which of the following measures of dispersion is affected by extreme values?

Practice Questions

Q1
Which of the following measures of dispersion is affected by extreme values?
  1. Range
  2. Interquartile Range
  3. Variance
  4. Standard Deviation

Questions & Step-by-Step Solutions

Which of the following measures of dispersion is affected by extreme values?
Correct Answer: Range
  • Step 1: Understand what dispersion means. Dispersion refers to how spread out the values in a data set are.
  • Step 2: Learn about different measures of dispersion. Common measures include range, variance, and standard deviation.
  • Step 3: Identify what extreme values are. Extreme values are the highest and lowest numbers in a data set.
  • Step 4: Focus on the range. The range is calculated by subtracting the smallest value from the largest value in the data set.
  • Step 5: Realize that if you change the maximum or minimum value (for example, by adding an extreme value), the range will change.
  • Step 6: Conclude that the range is affected by extreme values because it directly depends on the maximum and minimum values.
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