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If the standard deviation of a data set is 4, what is the variance?
If the standard deviation of a data set is 4, what is the variance?
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Practice Questions
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Q1
If the standard deviation of a data set is 4, what is the variance?
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Variance = (Standard Deviation)² = 4² = 16.
Questions & Step-by-step Solutions
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Q
Q: If the standard deviation of a data set is 4, what is the variance?
Solution:
Variance = (Standard Deviation)² = 4² = 16.
Steps: 5
Show Steps
Step 1: Understand that the standard deviation is a measure of how spread out the numbers in a data set are.
Step 2: Know that variance is another measure of spread, and it is calculated by squaring the standard deviation.
Step 3: Take the given standard deviation, which is 4.
Step 4: Square the standard deviation: 4 squared (4 * 4) equals 16.
Step 5: Conclude that the variance of the data set is 16.
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