The following data shows the number of points scored at the end of a season by 12 soccer teams:
50      48      64      67      49      43
57      32      42      37      61      65
Determine 45th percentile and 90th percentile.
Calculate your answer using this Spreadsheet template.

To calculate the 45th and 90th percentiles of the given dataset using a spreadsheet, here’s the step-by-step guide:

### Data: 
50, 48, 64, 67, 49, 43, 57, 32, 42, 37, 61, 65

### Steps for Calculation in Spreadsheet:

#### 1. Enter the Data:
- Input the numbers into a column in the spreadsheet. For example, place them in cells A1 to A12.

#### 2. Sort the Data:
- Sort the data in ascending order. This can usually be done with a sort function in your spreadsheet (e.g., Excel or Google Sheets).
  - Sorted Data: 
    32, 37, 42, 43, 48, 49, 50, 57, 61, 64, 65, 67

#### 3. Calculate the Percentiles:
- Use the **PERCENTILE** function in the spreadsheet. This function typically has the format: `PERCENTILE(array, k)`, where `array` is the range of data and `k` is the percentile in decimal form.

#### 4. 45th Percentile:
- In the cell where you want the result, use the formula:
  ```plaintext
  =PERCENTILE(A1:A12, 0.45)
  ```
  - This calculates the 45th percentile.

#### 5. 90th Percentile:
- Similarly, use the formula:
  ```plaintext
  =PERCENTILE(A1:A12, 0.90)
  ```
  - This calculates the 90th percentile.

#### Results:
After performing the calculations in the spreadsheet, you will get the following approximate results:
- **45th Percentile:** ~48.5
- **90th Percentile:** ~65.6

These values represent the 45th and 90th percentiles of the data set.

Would you like details on how these values are computed or how to perform this manually? Let me know if you need further explanation.

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Here are some relative questions you could explore:
1. What is the median of this data set?
2. How does the 75th percentile compare to the 90th percentile?
3. Can we use a boxplot to visualize these percentiles?
4. How would the 45th and 90th percentiles change if we add more data points?
5. How is percentile rank different from a percentile?

**Tip:** When dealing with percentiles, ensure your data is sorted, as it directly affects percentile calculations.

The following data shows the number of points scored at the end of a season by 12 soccer teams: 50, 48, 64, 67, 49, 43, 57, 32, 42, 37, 61, 65. Determine 45th percentile and 90th percentile.

Learn how to calculate the 45th and 90th percentiles for the soccer team scores dataset: 50, 48, 64, 67, 49, 43, 57, 32, 42, 37, 61, 65. This statistical analysis involves data sorting and using the PERCENTILE function to derive key percentile values. Ideal for students in Grades 9-11.

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