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The histogram provided illustrates the distribution of geography scores from a group of students. To calculate the average score, we need to follow these steps:

1. **Identify the midpoints of each interval**: The intervals given are:
   - 70.5 - 75.5
   - 75.5 - 80.5
   - 80.5 - 85.5
   - 85.5 - 90.5
   - 90.5 - 95.5
   - 95.5 - 100.5

   The midpoint of each interval can be found by averaging the lower and upper bounds of each class interval.

2. **Calculate the total frequency**: The histogram indicates the frequency (number of students) for each interval.

3. **Compute the weighted average**: Multiply each midpoint by the corresponding frequency, sum these products, and then divide by the total frequency.

Let's extract the data from the histogram:

| Interval       | Midpoint  | Frequency (f) |
|----------------|-----------|---------------|
| 70.5 - 75.5    | 73        | 3             |
| 75.5 - 80.5    | 78        | 5             |
| 80.5 - 85.5    | 83        | 12            |
| 85.5 - 90.5    | 88        | 13            |
| 90.5 - 95.5    | 93        | 9             |
| 95.5 - 100.5   | 98        | 4             |

Now let's calculate the average score using these steps. I'll compute this next.The average geography score for the group of students is approximately **86.48**.

Would you like further details or explanations? Here are 5 related questions to expand on this topic:

1. How is the median score determined from this histogram?
2. What is the significance of the mode in this dataset?
3. How could we calculate the variance and standard deviation of these scores?
4. What are the effects of adding a new interval to the data?
5. How would the average change if we adjusted the frequency of one of the intervals?

**Tip**: When working with histograms, remember that the class intervals and their frequencies can give important insights into the data distribution, such as skewness and modality.

Berapakah rata-rata nilai Geografi sekelompok siswa tersebut?

Pelajari cara menghitung rata-rata nilai Geografi sekelompok siswa berdasarkan histogram. Nilai diperoleh dari distribusi frekuensi dalam interval 70.5 hingga 100.5 dengan langkah-langkah detail perhitungan rata-rata. Cocok untuk siswa kelas 10-12.

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