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The question asks to calculate the values of K3, D10, and P50 from the provided data set:

The data provided is:
7, 10, 13, 13, 15, 19, 20, 25, 25, 27, 29, 31, 34, 34, 35, 37.

- **K3** refers to the third quartile (75th percentile),
- **D10** refers to the 10th percentile (decile),
- **P50** refers to the 50th percentile (median).

### Steps to solve:

1. **Organize the data (already ordered in the question)**:  
   7, 10, 13, 13, 15, 19, 20, 25, 25, 27, 29, 31, 34, 34, 35, 37

2. **Calculate K3 (Third Quartile)**:
   - The third quartile is the 75th percentile.
   - Formula for K3 position: \[ K3 = \frac{3(n+1)}{4} \]
   - Where \(n = 16\) (total number of data points).
   - \( K3 = \frac{3(16+1)}{4} = \frac{3 \times 17}{4} = \frac{51}{4} = 12.75 \)
   - This means K3 is between the 12th and 13th data points.
   - Data points: 12th = 29, 13th = 31. So, we take the average:  
     \( K3 = \frac{29 + 31}{2} = 30 \)

3. **Calculate D10 (10th percentile)**:
   - Formula for D10 position: \[ D10 = \frac{10(n+1)}{100} \]
   - \( D10 = \frac{10(16+1)}{100} = \frac{170}{100} = 1.7 \)
   - This means D10 is between the 1st and 2nd data points.
   - Data points: 1st = 7, 2nd = 10. So, we take the average:  
     \( D10 = 7 + 0.7(10 - 7) = 7 + 0.7 \times 3 = 7 + 2.1 = 9.1 \)

4. **Calculate P50 (Median)**:
   - Since there are 16 data points, the median is the average of the 8th and 9th data points.
   - Data points: 8th = 25, 9th = 25.  
     \( P50 = \frac{25 + 25}{2} = 25 \)

### Final Answers:
- K3 (Third Quartile) = 30
- D10 (10th Percentile) = 9.1
- P50 (50th Percentile / Median) = 25

Let me know if you need more details or have any questions! Here are 5 follow-up questions:

1. What is the difference between quartiles and deciles?
2. How would the calculation change if the dataset had an odd number of elements?
3. Can you explain the relationship between percentiles and quartiles?
4. How can we apply percentile calculations in real-world data analysis?
5. What are the uses of P50, D10, and K3 in statistics?

**Tip**: In any ordered dataset, percentile calculations often require interpolation when the percentile falls between two data points.

Data tersebar: 7, 10, 13, 13, 15, 19, 20, 25, 25, 27, 29, 31, 34, 34, 35, 37. Hitung nilai K3, D10 dan P50.

Learn how to calculate the third quartile (K3), 10th percentile (D10), and 50th percentile (P50) from the given dataset: 7, 10, 13, 13, 15, 19, 20, 25, 25, 27, 29, 31, 34, 34, 35, 37. This problem explains key concepts in percentiles and quartiles for Grade 10-12 students.

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