In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set.
17, 15, 13, 7, 11 Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.)


The standard deviation \( s \) of the given data set \( \{17, 15, 13, 7, 11\} \) is approximately \( 3.8471 \) (rounded to four decimal places).

Do you have any questions or would you like further details?

Here are five related questions you can explore:
1. What happens to the standard deviation if a constant is added to each value in the data set?
2. How would the variance of this data set compare to the standard deviation?
3. What is the range of this data set?
4. How would removing one data point affect the standard deviation?
5. How does the standard deviation help in understanding data spread?

**Tip:** The standard deviation measures how spread out the numbers in a data set are relative to the mean.

In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the following data set. 17, 15, 13, 7, 11 Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to four decimal places.)

Learn how to calculate the standard deviation of the data set {17, 15, 13, 7, 11} using the standard deviation formula. Understand how adding a constant to a data set affects the standard deviation. This problem involves statistical concepts suitable for students in Grades 9-12.

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