9, 4, 8, 12, 5, 1, 8, 18, 9, 13, 18, 1, 5, 10, 15, 8, 15, 8, 8, 5
Assuming the data above is the total population. Calculate the
a) mean
b) median
c) mode
d) variance
e) standard deviation

The calculations for the given data set are as follows:

a) **Mean**: 9.0  
b) **Median**: 8.0  
c) **Mode**: 8  
d) **Variance**: 23.3  
e) **Standard Deviation**: 4.83 (approximately)

Would you like further details or have any questions? 

Here are 5 related questions to expand on this:
1. How is the variance calculated from the data set?
2. What is the significance of the standard deviation in this context?
3. How would removing an outlier impact the mean and variance?
4. Can a data set have more than one mode?
5. How does the size of the data set influence the standard deviation?

**Tip**: The median is less sensitive to extreme values than the mean, making it a better measure of central tendency for skewed distributions.

Assuming the data above is the total population: 9, 4, 8, 12, 5, 1, 8, 18, 9, 13, 18, 1, 5, 10, 15, 8, 15, 8, 8, 5. Calculate the a) mean b) median c) mode d) variance e) standard deviation.

Explore how to calculate the mean (9.0), median (8.0), mode (8), variance (23.3), and standard deviation (4.83) for a data set. This problem includes essential statistical concepts such as central tendency and dispersion. Suitable for students in Grades 10-12.

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