How to Calculate the Standard Deviation of 9, 11, 13, and 15?
Learn step-by-step how to calculate the standard deviation of the numbers 9, 11, 13, and 15 for better understanding of data variability.
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The standard deviation of the numbers 9, 11, 13, and 15 is 2. To calculate this, first find the mean (average) of these numbers, which is 12. Then, subtract the mean from each number, square the result, and find the mean of those squared differences, which is 4. Finally, take the square root of that, resulting in 2. This measure tells us how much the numbers deviate, on average, from their mean.
FAQs & Answers
- What is the formula for standard deviation? The standard deviation formula is the square root of the variance, which is the average of the squared differences from the mean.
- How do I calculate the mean of a set of numbers? To calculate the mean, add all the numbers together and then divide by the count of numbers.
- Why is standard deviation important in statistics? Standard deviation measures the amount of variation or dispersion in a data set, helping to understand how spread out the values are around the mean.