Question: User: 91, 81, 78, 67, 59, 84, 60, 72, 47, 60, 33, 36, 60, 57, 63, 42, 18, 42, 36, 27, 66, 54, 27, 42, 63, 27, 18, 9, 33, 24, 39, 45, 24, 39, 49, 33, 45, 12, 14, 72.
1. **Problem Statement:**
We are given a list of numbers: $$91, 81, 78, 67, 59, 84, 60, 72, 47, 60, 33, 36, 60, 57, 63, 42, 18, 42, 36, 27, 66, 54, 27, 42, 63, 27, 18, 9, 33, 24, 39, 45, 24, 39, 49, 33, 45, 12, 14, 72$$.
We want to analyze this data, for example, by finding the mean (average).
2. **Formula for Mean:**
The mean of a set of numbers $$x_1, x_2, \ldots, x_n$$ is given by:
$$\text{Mean} = \frac{\sum_{i=1}^n x_i}{n}$$
where $$n$$ is the number of data points.
3. **Count the number of data points:**
There are $$40$$ numbers in the list.
4. **Calculate the sum of the numbers:**
$$91 + 81 + 78 + 67 + 59 + 84 + 60 + 72 + 47 + 60 + 33 + 36 + 60 + 57 + 63 + 42 + 18 + 42 + 36 + 27 + 66 + 54 + 27 + 42 + 63 + 27 + 18 + 9 + 33 + 24 + 39 + 45 + 24 + 39 + 49 + 33 + 45 + 12 + 14 + 72 = 1713$$
5. **Calculate the mean:**
$$\text{Mean} = \frac{1713}{40}$$
6. **Simplify the fraction:**
$$\text{Mean} = \frac{\cancel{1713}}{\cancel{40}} = 42.825$$
7. **Interpretation:**
The average value of the given data set is approximately $$42.825$$.
**Final answer:**
$$\boxed{42.825}$$