Data: 21.4,31.8,24,39.2,20,14.3,47,30.2,11.8,32.2,13.7

Please show the following answers to 2 decimal places.

Sample Mean =

Sample Standard Deviation =  and

Sample Variance =

Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.

Population Standard Deviation =

Here are the results for the data provided:

- **Sample Mean** = 25.96
- **Sample Standard Deviation** = 11.21
- **Sample Variance** = 125.59
- **Population Standard Deviation** = 10.69

Would you like more details or have any further questions?

Here are some related questions:
1. How does changing the sample size affect the standard deviation?
2. What is the difference between sample variance and population variance?
3. Why is the sample standard deviation slightly higher than the population standard deviation?
4. How does variance relate to standard deviation?
5. What other measures of central tendency can be calculated from this data?

**Tip**: Always distinguish between sample and population statistics when calculating variance and standard deviation—sample values tend to be higher!

Data: 21.4, 31.8, 24, 39.2, 20, 14.3, 47, 30.2, 11.8, 32.2, 13.7. Please show the following answers to 2 decimal places. Sample Mean = Sample Standard Deviation = and Sample Variance = Ooops - now you discover that the data was actually from a population! So now you must give the population standard deviation.

Learn how to calculate the sample mean, sample standard deviation, and population standard deviation for the data set: 21.4, 31.8, 24, 39.2, 20, 14.3, 47, 30.2, 11.8, 32.2, 13.7. Understand the key differences between sample and population statistics, and find step-by-step solutions. Suitable for students in Grades 10-12.

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