8. Numbers of cars in a parking lot: $$ 12,35,20,17,24,30,28,16 $$

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To analyze the numbers of cars in the parking lot, we can calculate some basic statistics such as the mean, median, mode, range, and standard deviation.

Given the data: $$ 12, 35, 20, 17, 24, 30, 28, 16 $$

1. **Mean**: The mean is calculated by summing all the values and dividing by the number of values.

$$
   \text{Mean} = \frac{12 + 35 + 20 + 17 + 24 + 30 + 28 + 16}{8} = \frac{212}{8} = 26.5
   $$

2. **Median**: The median is the middle value when the numbers are sorted in ascending order. First, we sort the data:

Sorted data: $$ 12, 16, 17, 20, 24, 28, 30, 35 $$

Since there are 8 values (an even number), the median is the average of the 4th and 5th values:

$$
   \text{Median} = \frac{20 + 24}{2} = \frac{44}{2} = 22
   $$

3. **Mode**: The mode is the value that appears most frequently. In this dataset, all values are unique, so there is no mode.

4. **Range**: The range is the difference between the maximum and minimum values.

$$
   \text{Range} = 35 - 12 = 23
   $$

5. **Standard Deviation**: The standard deviation measures the amount of variation or dispersion in a set of values. First, we calculate the variance.

- Calculate the mean (already found to be 26.5).
   - Find the squared differences from the mean:

$$
   (12 - 26.5)^2 = 210.25
   $$
   $$
   (35 - 26.5)^2 = 72.25
   $$
   $$
   (20 - 26.5)^2 = 42.25
   $$
   $$
   (17 - 26.5)^2 = 90.25
   $$
   $$
   (24 - 26.5)^2 = 6.25
   $$
   $$
   (30 - 26.5)^2 = 12.25
   $$
   $$
   (28 - 26.5)^2 = 2.25
   $$
   $$
   (16 - 26.5)^2 = 110.25
   $$

- Sum of squared differences:

$$
   210.25 + 72.25 + 42.25 + 90.25 + 6.25 + 12.25 + 2.25 + 110.25 = 545.00
   $$

- Variance (for a sample, divide by $$ n-1 $$):

$$
   \text{Variance} = \frac{545.00}{8 - 1} = \frac{545.00}{7} \approx 77.86
   $$

- Standard deviation:

$$
   \text{Standard Deviation} = \sqrt{77.86} \approx 8.82
   $$

### Summary of Statistics:
- Mean: $$ 26.5 $$
- Median: $$ 22 $$
- Mode: None
- Range: $$ 23 $$
- Standard Deviation: $$ \approx 8.82 $$
Mean: 26.5, Median: 22, Mode: None, Range: 23, Standard Deviation: 8.82

Numbers of cars in a parking lot:

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