What are quartile deviation and standard deviation?
Understand the Problem
The question is inquiring about two statistical measures: quartile deviation and standard deviation. It seeks to understand what these concepts are and how they differ or relate to each other, potentially looking for explanations or definitions.
Answer
Quartile deviation measures the spread in the middle of data, while standard deviation measures spread around the mean.
Quartile deviation is half the difference between the upper and lower quartiles (Q3 - Q1) / 2, while standard deviation measures the spread of data values around the mean.
Answer for screen readers
Quartile deviation is half the difference between the upper and lower quartiles (Q3 - Q1) / 2, while standard deviation measures the spread of data values around the mean.
More Information
Quartile deviation is also known as semi-interquartile range. It focuses on the middle 50% of data, whereas standard deviation takes into account all data points in relation to the mean, providing a more comprehensive view of data spread.
Tips
A common mistake is confusing quartile deviation with standard deviation, as they measure spread differently and serve different analytical purposes.
Sources
- Quartile Deviation and Coefficient of Quartile ... - GeeksforGeeks - geeksforgeeks.org
- Quartile Deviation - Definition, Formula and Examples - BYJU'S - byjus.com
- Interquartile Range vs. Standard Deviation: What's the Difference? - statology.org
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