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The histogram you provided represents frequency data across different numerical intervals. The values on the x-axis appear to represent numerical data ranges, and the values labeled on the histogram bars represent the frequency count of data within those ranges. To answer your question regarding the lower quartile of the data on this histogram, we can proceed by calculating the position of the lower quartile (Q1), which divides the first 25% of the data.

### Step-by-Step Calculation of the Lower Quartile (Q1):

1. **Total Frequency Calculation**: First, sum up all the frequencies:
   \[
   f_{\text{total}} = 8 + 10 + 14 + 9 + 8 = 49
   \]
2. **Lower Quartile Position**:
   The lower quartile (Q1) position is calculated using:
   \[
   Q1\ \text{Position} = \frac{1}{4} \times f_{\text{total}}
   \]
   \[
   Q1\ \text{Position} = \frac{1}{4} \times 49 = 12.25
   \]
   We round this to the nearest whole number, so it's approximately at the 12th position in the data.

3. **Locate the Quartile in the Histogram**:
   - The first bar (0-3) contains 8 counts.
   - The second bar (3-8) contains 10 counts, making a cumulative frequency of 18.

   The lower quartile (12th position) falls within the second bar range (3-8).

Thus, the lower quartile \( Q1 \) for this data set falls in the interval from 3 to 8. More precise localization within this range would require knowing the distribution of individual data points within these intervals or using a finer method if data granularity allows.

If you have any further questions or need clarification, let me know!

#### Additional Related Questions:
1. How would you calculate the median (Q2) for this dataset?
2. What is the significance of the lower quartile in statistical analysis?
3. Can you explain how to calculate the upper quartile (Q3)?
4. How do histograms help in understanding data distribution?
5. What is the difference between a histogram and a bar graph?

#### Tip:
Understanding how the cumulative frequency works can be crucial in locating positions of various percentiles or quartiles, especially when the data is grouped like in histograms.

Nilai kuartil bawah dari data pada histogram tersebut sama dengan…

Learn how to calculate the lower quartile (Q1) from a histogram, step by step. Understand how to use cumulative frequency to locate the quartile position within grouped data ranges. This problem is suitable for students in Grades 9-12.

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