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It looks like you've uploaded an image that contains some statistics-related questions, particularly asking for values like the range, variance, and standard deviation, with and without an additional data value.

From the image, I can see that it involves earthquake magnitudes (likely Richter scale values) for a certain set of earthquakes. The questions seem to revolve around recalculating statistical measures (range, variance, and standard deviation) after including or excluding specific data points.

Could you confirm or provide the data set you're working with? I can then help calculate the exact range, variance, and standard deviation with and without the extra data point.

Let me know if you want more details or explanations on any part! Here are five related questions to help expand understanding:

1. What is the difference between variance and standard deviation in a data set?
2. How does adding an extra data value typically affect the variance and standard deviation?
3. Why is it important to round to three decimal places in statistics?
4. How do we calculate the range of a data set?
5. What are other potential measures of dispersion besides variance and standard deviation?

**Tip**: In statistics, standard deviation is the square root of the variance. It gives a sense of how spread out the data points are from the mean.

Use the magnitudes (Richter scale) in the 20 earthquakes listed in the accompanying data table to find the range, variance, and standard deviation. Use technology to find these measures with and without the extra data value.

Learn how to calculate the range, variance, and standard deviation using earthquake magnitudes from 20 recorded events. Understand how adding extra data affects these measures. Suitable for high school students exploring statistics.

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