To calculate the mean of the provided numbers, you simply add them up and divide by the total count of numbers.

Here are the numbers:

0.573073, 0.664652, 0.752226, 0.554155, 0.843803, 0.957024, 0.709764, 0.77052, 0.670225, 0.642383, 0.741456, 0.537508, 0.612978, 0.826809, 0.778264, 0.826458, 0.821853, 0.828731, 0.81311, 0.727436

Step 1: Sum the numbers

$0.573073 + 0.664652 + 0.752226 + 0.554155 + 0.843803 + 0.957024 + 0.709764 + 0.77052 + 0.670225 + 0.642383 + 0.741456 + 0.537508 + 0.612978 + 0.826809 + 0.778264 + 0.826458 + 0.821853 + 0.828731 + 0.81311 + 0.727436 = 14.283572$

Step 2: Divide by the number of values (20 numbers in total)

Mean $= \frac{14.283572}{20} = 0.7141786$

So, the mean of the numbers is approximately 0.7142.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:

1. How would the mean change if one of the numbers were altered significantly?
2. What is the difference between the mean, median, and mode of a dataset?
3. How does the standard deviation relate to the mean of a set of numbers?
4. How can we visualize the distribution of these numbers graphically?
5. What impact does a large outlier have on the mean calculation?

Tip: To get a better sense of how spread out your data is, calculating the variance and standard deviation after finding the mean can give you deeper insights into the data’s variability.