Find x bar, s, and s^2 for the following data set: 20, 45, 42, 52, 65, 20, 60, 49, 24, 37, 23, 24, 50, 59, 62, 45, 52, 61, 41, 25, 28, 27, 50, 47, 58, 40, 42, 48, 40, 45, 39, 55, 50, 55, 48, 60

For the given data set, the results are as follows:

- \( \bar{x} \) (mean) = 44.11 (rounded to two decimal places)
- \( s \) (standard deviation) = 13.04
- \( s^2 \) (variance) = 170.16

Would you like a detailed breakdown of how these were calculated?

Here are five related questions:
1. How would adding an outlier affect the mean and standard deviation?
2. What is the difference between population and sample standard deviation?
3. How can you use standard deviation to assess data spread?
4. How does variance help in understanding data distribution?
5. What role does the mean play in determining data symmetry?

**Tip:** Always use sample standard deviation (n-1) when working with a subset of data rather than the entire population.

Find x bar, s, and s^2 for the following data set: 20, 45, 42, 52, 65, 20, 60, 49, 24, 37, 23, 24, 50, 59, 62, 45, 52, 61, 41, 25, 28, 27, 50, 47, 58, 40, 42, 48, 40, 45, 39, 55, 50, 55, 48, 60.

Learn how to calculate the mean (x̄), variance (s^2), and standard deviation (s) for the data set: 20, 45, 42, 52, 65, 20, 60, 49, 24, 37, 23, 24, 50, 59, 62, 45, 52, 61, 41, 25, 28, 27, 50, 47, 58, 40, 42, 48, 40, 45, 39, 55, 50, 55, 48, 60. This solution covers essential statistical concepts suitable for high school students in Grades 10-12.

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