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Questions and Answers
Given the scores on a test for 5 students: 82, 77, 84, 79, 83, and a variance of 9, what is the standard deviation?
Given the scores on a test for 5 students: 82, 77, 84, 79, 83, and a variance of 9, what is the standard deviation?
- 3 (correct)
- 2
- 4
- 5
What is the standard deviation of the weights (in pounds) of 5 corgi dogs: 28, 32, 29, 31, 33?
What is the standard deviation of the weights (in pounds) of 5 corgi dogs: 28, 32, 29, 31, 33?
- 3.16
- 2.00
- 1.58
- 2.35 (correct)
The average age of everyone in the class is an example of what type of statistics?
The average age of everyone in the class is an example of what type of statistics?
- Mode
- Inferential
- Median
- Descriptive (correct)
As the sample size grows larger, what happens to the standard deviation?
As the sample size grows larger, what happens to the standard deviation?
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As the sample size grows larger, what happens to the n-1 adjustment for the standard deviation?
As the sample size grows larger, what happens to the n-1 adjustment for the standard deviation?
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Study Notes
Standard Deviation
- The standard deviation is the square root of the variance.
- For the test scores, the standard deviation is 3 (the square root of 9).
- For the corgi weights, the standard deviation is 2.03 (the square root of 4.12).
Descriptive Statistics
- The average age of everyone in the class is an example of descriptive statistics, which summarizes data from a sample or population
Sample Size and Standard Deviation
- As the sample size grows larger, the standard deviation typically decreases.
- This means the data points are closer to the mean.
Sample Size and n-1 Adjustment
- The n-1 adjustment for the standard deviation is used when calculating the standard deviation of a sample, not a population.
- The adjustment helps make the standard deviation more accurate, especially when the sample size is small.
- As the sample size increases, the n-1 adjustment becomes less significant. This is because the sample standard deviation becomes closer to the population standard deviation.
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