What does a higher standard deviation indicate about a data set?
Understand the Problem
The question is asking about the interpretation of higher standard deviation in a data set. It focuses on how the values are distributed in relation to the mean.
Answer
A higher standard deviation indicates the data is more spread out.
A higher standard deviation indicates that the data points are more spread out from the mean, showing greater variability within the data set.
Answer for screen readers
A higher standard deviation indicates that the data points are more spread out from the mean, showing greater variability within the data set.
More Information
Standard deviation is a key concept in statistics used to quantify the amount of variation or dispersion in a set of data values.
Tips
Confusing standard deviation with the mean itself is a common mistake. Remember that standard deviation is about the spread, not the central point.
Sources
- Standard Deviation: Interpretations and Calculations - Statistics By Jim - statisticsbyjim.com
- Standard deviation - Wikipedia - en.wikipedia.org
- What does a high/low standard deviation mean in real terms? - Socratic - socratic.org
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