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Questions and Answers
Which of the following statements is true about standard deviation?
Which of the following statements is true about standard deviation?
- A high standard deviation indicates data are clustered around the mean (correct)
- A standard deviation close to zero indicates that data points are far from the mean
- A low standard deviation means data are more spread out
- A standard deviation is not related to the dispersion of data
What does a standard deviation close to zero indicate about the data?
What does a standard deviation close to zero indicate about the data?
- Data points are not related to the mean
- Data points are far from the mean
- Data points are close to the mean (correct)
- Data points are evenly distributed
What does a low standard deviation indicate about the data?
What does a low standard deviation indicate about the data?
- Data points are far from the mean
- Data points are more spread out
- Data points are clustered around the mean (correct)
- Data points are not related to the mean
Standard deviation measures how dispersed the data is around the mean
Standard deviation measures how dispersed the data is around the mean
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Low standard deviation means data are more spread out
Low standard deviation means data are more spread out
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A high standard deviation indicates data points are above the mean
A high standard deviation indicates data points are above the mean
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A standard deviation close to zero indicates that data points are close to the mean
A standard deviation close to zero indicates that data points are close to the mean
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Study Notes
Standard Deviation
- Standard deviation measures how dispersed the data is around the mean.
- A low standard deviation indicates that data points are closer to the mean, meaning the data is less spread out.
- A standard deviation close to zero indicates that data points are close to the mean, meaning the data is very consistent.
- A high standard deviation indicates that data points are spread out further from the mean.
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