What is Standard Deviation?
Standard Deviation - Basic

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•
Mathematics
•
9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
Standard Deviation is a measure of the amount of variation or dispersion in a set of values.
2.
FLASHCARD QUESTION
Front
What does a low Standard Deviation indicate?
Back
A low Standard Deviation indicates that the data points tend to be close to the mean (average) of the set.
3.
FLASHCARD QUESTION
Front
What does a high Standard Deviation indicate?
Back
A high Standard Deviation indicates that the data points are spread out over a wider range of values.
4.
FLASHCARD QUESTION
Front
How do you calculate Standard Deviation?
Back
1. Find the mean of the data set. 2. Subtract the mean from each data point and square the result. 3. Find the average of those squared differences. 4. Take the square root of that average.
5.
FLASHCARD QUESTION
Front
What is the mean?
Back
The mean is the average of a data set, calculated by adding all the numbers together and dividing by the count of numbers.
6.
FLASHCARD QUESTION
Front
What is the relationship between Standard Deviation and the normal distribution?
Back
In a normal distribution, about 68% of the data falls within one Standard Deviation of the mean.
7.
FLASHCARD QUESTION
Front
What is the empirical rule?
Back
The empirical rule states that for a normal distribution: 68% of data falls within 1 SD, 95% within 2 SDs, and 99.7% within 3 SDs.
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