Standard Deviation Practice
Flashcard
•
Mathematics
•
11th Grade - University
•
Hard
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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 does a large standard deviation affect data interpretation?
Back
A large standard deviation indicates that the data points are spread out over a wide range of values, making it harder to draw accurate conclusions from the data.
3.
FLASHCARD QUESTION
Front
What does a small standard deviation indicate?
Back
A small standard deviation indicates that the data points are clustered closely around the mean, leading to more reliable conclusions based on the data.
4.
FLASHCARD QUESTION
Front
What is the formula for calculating standard deviation?
Back
The formula for standard deviation (σ) is: σ = √(Σ(xi - μ)² / N) for population, and s = √(Σ(xi - x̄)² / (n - 1)) for sample.
5.
FLASHCARD QUESTION
Front
What is the effect of adding a number in the middle of a data set on the range?
Back
Adding a number in the middle of a data set does not affect the range; the range is determined by the difference between the maximum and minimum values.
6.
FLASHCARD QUESTION
Front
How do you interpret a standard deviation of 0?
Back
A standard deviation of 0 indicates that all values in the data set are identical and there is no variation.
7.
FLASHCARD QUESTION
Front
What is the relationship between mean and standard deviation?
Back
The mean provides a measure of central tendency, while the standard deviation provides a measure of variability around that mean.
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