https://file.aiquickdraw.com/mathbot/file/1728023468476br2pjlrx.jpg

Here are the calculated values for the given sample set:

- **Range**: 65 (Difference between the maximum value 69 and minimum value 4)
- **Mean**: 25.94 (Average of the data)
- **Median**: 23 (Middle value when the data is ordered)
- **Mode**: 23 (Most frequent value)
- **Standard Deviation**: 16.62 (A measure of the dispersion of the data)

Would you like further details or explanations about any of these calculations?

Here are some related questions to deepen your understanding:
1. How is the standard deviation different from the variance?
2. Why is the mode important when the data is not normally distributed?
3. What is the difference between sample and population standard deviation?
4. How does the mean differ from the median in a skewed distribution?
5. Can the mode be more than one value? Why?

**Tip**: Always check if the data is normally distributed when interpreting the mean and standard deviation, as they are sensitive to outliers.

Find range, mean, median, mode, and standard deviation of the following sample set: 12, 45, 69, 23, 4, 36, 16, 21, 23, 47, 13, 22, 40, 12, 23, 10, 25

Calculate the range, mean, median, mode, and standard deviation for a given data set: 12, 45, 69, 23, 4, 36, 16, 21, 23, 47, 13, 22, 40, 12, 23, 10, 25. This problem covers key statistical concepts like central tendency and dispersion, suitable for students in Grades 9-12.

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