To find the range of the given sample, we need to subtract the smallest value from the largest value in the dataset.

The sample values are: $84.83, 84.29, 84.41, 84.65, 84.77, 85.62, 85.83, 85.66, 84.23$

1. The smallest value in the dataset is $84.23$.
2. The largest value in the dataset is $85.83$.

Now, let's calculate the range: $\text{Range} = 85.83 - 84.23 = 1.60$

So, the range of the given sample is 1.60.

Would you like help with the standard deviation as well or further details?

Here are 5 related questions:

1. How is the range affected by outliers in the data?
2. Can the range be a negative value? Why or why not?
3. What is the significance of the range in statistical analysis?
4. How does the range compare to other measures of dispersion, like variance or interquartile range?
5. How would the range change if we added more data points to this sample?

Tip: The range gives you a quick snapshot of the spread of the data, but it doesn't tell you how the data is distributed between the smallest and largest values. For more insight, consider using standard deviation or interquartile range.