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Which of the following measures of dispersion is affected by extreme values?
Which of the following measures of dispersion is affected by extreme values?
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Practice Questions
1 question
Q1
Which of the following measures of dispersion is affected by extreme values?
Range
Interquartile Range
Variance
Standard Deviation
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Range is affected by extreme values as it is calculated as the difference between the maximum and minimum values.
Questions & Step-by-step Solutions
1 item
Q
Q: Which of the following measures of dispersion is affected by extreme values?
Solution:
Range is affected by extreme values as it is calculated as the difference between the maximum and minimum values.
Steps: 6
Show Steps
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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