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The image shows a frequency distribution table with the following dataThe image shows a frequency distribution table with the following 

| **Nilai** (Value) | 6 | 7 | 8 | 9 | 10 |
|-------------------|---|---|---|---|----|
| **Frekuensi** (Frequency) | 3 | 4 | 2 | 4 | 2  |

The question asks for the "upper quartile" (third quartile or \( Q_3 \)) of the data.

### Steps to find the upper quartile:
1. **Determine the total number of observations**: 
   \[
   N = 3 + 4 + 2 + 4 + 2 = 15
   \]

2. **Find the position of the third quartile**:
   The formula for \( Q_3 \) is:
   \[
   Q_3 = \frac{3(N+1)}{4}
   \]
   Substituting \( N = 15 \):
   \[
   Q_3 = \frac{3(15+1)}{4} = \frac{48}{4} = 12
   \]
   The 12th observation corresponds to \( Q_3 \).

3. **Locate the 12th observation** in the cumulative frequency:
   - Values of 6 appear 3 times.
   - Values of 7 appear 4 times. Cumulative frequency after 7 is \( 3 + 4 = 7 \).
   - Values of 8 appear 2 times. Cumulative frequency after 8 is \( 7 + 2 = 9 \).
   - Values of 9 appear 4 times. Cumulative frequency after 9 is \( 9 + 4 = 13 \).

   The 12th observation is between the 9th and 13th observations, so \( Q_3 = 9 \).

### Answer: \( Q_3 = 9 \) (option d)

Would you like more details on any of the steps? 

Here are some related questions you might explore:
1. What is the first quartile \( Q_1 \) for this dataset?
2. How do we calculate the median \( Q_2 \) from the frequency table?
3. What is the cumulative frequency for this dataset?
4. How do you calculate the interquartile range (IQR)?
5. How does the mode of a frequency distribution differ from the quartiles?

**Tip**: The cumulative frequency helps determine which value a particular quartile corresponds to by summing frequencies sequentially.

Diketahui tabel distribusi frekuensi sebagai berikut. Nilai kuartil atas dari data berikut adalah?

Find the upper quartile (Q3) from the given frequency distribution table. This problem involves calculating the position of the third quartile using the formula Q3 = (3(N+1))/4 and identifying it from the cumulative frequency. Suitable for Grades 9-11.

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