The car wash fee (rounded to the nearest dollar) from a sample of 15 car wash stations were recorded as follows:
10    28    29    17    26    15    27    19    11    18    23    16    25    22    26
Calculate the mean, median, and mode.
Calculate your answer using this Spreadsheet template.

Let's begin by calculating the mean, median, and mode using the car wash fees provided.

### Steps to calculate these using a Spreadsheet:

#### 1. **Data Entry:**
Enter the following data in a column (let’s assume Column A, starting from A1):
```
10
28
29
17
26
15
27
19
11
18
23
16
25
22
26
```

#### 2. **Mean Calculation:**
- The **mean** is calculated by summing all the values and dividing by the total number of values.
- Formula for mean: 
  \[
  \text{Mean} = \frac{\sum \text{Car Wash Fees}}{n}
  \]
  In a spreadsheet, use the `AVERAGE` function:
  ```
  =AVERAGE(A1:A15)
  ```

#### 3. **Median Calculation:**
- The **median** is the middle value when the data is arranged in ascending order.
- In the spreadsheet, you can use the `MEDIAN` function:
  ```
  =MEDIAN(A1:A15)
  ```

#### 4. **Mode Calculation:**
- The **mode** is the most frequent value in the dataset.
- In the spreadsheet, use the `MODE` function:
  ```
  =MODE(A1:A15)
  ```

Once you have entered this in the spreadsheet, it will compute the results for mean, median, and mode automatically.

### Let’s do the calculations manually:

#### Data (sorted in ascending order):
10, 11, 15, 16, 17, 18, 19, 22, 23, 25, 26, 26, 27, 28, 29

#### 1. **Mean:**
\[
\frac{10 + 28 + 29 + 17 + 26 + 15 + 27 + 19 + 11 + 18 + 23 + 16 + 25 + 22 + 26}{15} = \frac{312}{15} \approx 20.8
\]

#### 2. **Median:**
- There are 15 numbers, so the middle one (8th number in sorted order) is 22.

#### 3. **Mode:**
- The number 26 appears twice, so the mode is 26.

### Final Results:
- **Mean**: 20.8
- **Median**: 22
- **Mode**: 26

Do you have any questions or want more details?

---

Here are 5 related questions to expand your knowledge:
1. How would the calculations change if we included an additional car wash fee?
2. What happens if multiple modes exist in the data set?
3. How would you calculate the range of the dataset?
4. What is the difference between mean and median in interpreting data?
5. Can the mode be used for continuous data?

**Tip**: In datasets with outliers, the median can often give a better central value than the mean.

The car wash fee (rounded to the nearest dollar) from a sample of 15 car wash stations were recorded as follows: 10, 28, 29, 17, 26, 15, 27, 19, 11, 18, 23, 16, 25, 22, 26. Calculate the mean, median, and mode.

Learn how to calculate the mean, median, and mode from a dataset of car wash fees. This problem covers key statistical concepts like data analysis and measures of central tendency. Suitable for students in Grades 6-8.

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