https://file.aiquickdraw.com/mathbot/file/17272727536697yjlyg39.jpg

To solve for the first quartile (Q1) from the data shown in the graph, let's follow these steps:

### Step 1: Identify the data points
The graph represents a frequency distribution with the x-axis as categories and the y-axis representing the frequency ("Banyak Siswa"). Each x-value represents a particular group or category.

- For \( x = 4 \), \( y = 3 \)
- For \( x = 5 \), \( y = 4 \)
- For \( x = 6 \), \( y = 4 \)
- For \( x = 7 \), \( y = 8 \)
- For \( x = 8 \), \( y = 10 \)
- For \( x = 9 \), \( y = 5 \)
- For \( x = 10 \), \( y = 2 \)

These represent the frequency of students for each category.

### Step 2: Compute the cumulative frequency
To find the quartiles, we need the cumulative frequency:
- Cumulative frequency for \( x = 4 \): 3
- Cumulative frequency for \( x = 5 \): 3 + 4 = 7
- Cumulative frequency for \( x = 6 \): 7 + 4 = 11
- Cumulative frequency for \( x = 7 \): 11 + 8 = 19
- Cumulative frequency for \( x = 8 \): 19 + 10 = 29
- Cumulative frequency for \( x = 9 \): 29 + 5 = 34
- Cumulative frequency for \( x = 10 \): 34 + 2 = 36

### Step 3: Calculate the position of Q1
The first quartile (Q1) is located at 25% of the cumulative frequency. Since the total cumulative frequency is 36:
\[
Q1 \text{ position} = \frac{1}{4} \times 36 = 9
\]

### Step 4: Determine Q1 value
Looking at the cumulative frequency table, the value corresponding to the 9th position is at \( x = 7 \) since:
- At \( x = 6 \), the cumulative frequency is 11, so Q1 is located in this category.

Thus, **the first quartile (Q1) is at \( x = 6 \)**.

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Do you want further details on this, or have any questions?  
Here are 5 related questions to enhance your understanding:

1. What are the steps to calculate the second quartile (median) from this data?
2. How is the third quartile (Q3) calculated using a similar process?
3. How does the cumulative frequency distribution help in finding quartiles?
4. What other measures of spread can be calculated from a frequency distribution?
5. How would the quartiles change if the data had outliers?

**Tip:** Always ensure your data is sorted when calculating quartiles to avoid mistakes.

This problem involves calculating the first quartile (Q1) from a frequency distribution graph representing student counts. The total cumulative frequency is 36, and Q1 is located at the 9th position, with a value of 6 at x = 7. This problem is suitable for students in Grades 7-9.

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