Standard Deviation
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is Standard Deviation?
Back
Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.
2.
FLASHCARD QUESTION
Front
How is Standard Deviation calculated?
Back
Standard deviation is calculated by taking the square root of the variance. The variance is the average of the squared differences from the mean.
3.
FLASHCARD QUESTION
Front
What is the relationship between Standard Deviation and Variance?
Back
Variance is the square of the standard deviation. If the standard deviation is 'σ', then variance is 'σ²'.
4.
FLASHCARD QUESTION
Front
What does a Standard Deviation of 0 indicate?
Back
A standard deviation of 0 indicates that all values in the data set are identical and there is no variation.
5.
FLASHCARD QUESTION
Front
How does Standard Deviation help in understanding data?
Back
Standard deviation helps in understanding the spread of data points around the mean, allowing for better interpretation of data variability.
6.
FLASHCARD QUESTION
Front
What is the formula for calculating Standard Deviation for a sample?
Back
The formula for sample standard deviation is: s = √(Σ(xi - x̄)² / (n - 1)), where xi is each value, x̄ is the sample mean, and n is the number of observations.
7.
FLASHCARD QUESTION
Front
What is the difference between population and sample Standard Deviation?
Back
Population standard deviation uses 'N' (the total number of data points) in the denominator, while sample standard deviation uses 'n-1' to account for bias in estimating the population standard deviation.
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