This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.

x
16.9
48.3
49
48.6
45.3
32.2
32.9
47


Mean = 


Standard Deviation = 


Variance = 


The calculations for the given data are as follows:

- **Mean** = 40.03
- **Standard Deviation** = 11.62
- **Variance** = 135.11

Would you like further explanation or have any other questions?

Here are 5 related questions to explore further:

1. How does sample variance differ from population variance?
2. What would be the impact of adding an outlier to this data set?
3. How do you interpret the standard deviation in this context?
4. How is the variance used to measure the spread of data?
5. What are other ways to visualize the spread of this data?

**Tip:** Always distinguish between sample and population calculations—using \(n-1\) for samples ensures an unbiased estimate.

This data is from a sample. Calculate the mean, standard deviation, and variance. Suggestion: use technology. Round answers to two decimal places.
x
16.9
48.3
49
48.6
45.3
32.2
32.9
47

Calculate the mean, standard deviation, and variance for the sample data set [16.9, 48.3, 49, 48.6, 45.3, 32.2, 32.9, 47]. Learn how to apply key statistical formulas to understand measures of central tendency and dispersion. Suitable for high school students in Grades 9-12.

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