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Kerjakan semua nomor beserta cara hitung dan hasilnya 

I can help solve each part of the question based on the provided data. Let's go step by step.

The data provided is as follows:
\[10, 100, 10, 60, 60, 10, 20, 40, 40, 40, 50, 50, 20, 20, 60, 20, 20, 10, 30, 30, 30, 30, 40, 40, 50, 50, 40, 40, 50, 50, 60, 40, 40, 50, 50, 60, 60, 60, 60, 60, 60, 60, 60, 60, 70, 70, 40, 40, 70, 70, 30, 30, 70, 80, 80, 80, 60, 60, 70, 30, 70, 80, 80, 70, 70, 90, 100, 90, 90, 70\]

### 1. **Pengelompokan dengan Distribusi Frekuensi (Frequency Distribution Table)**

First, I'll group the data into classes and create a frequency distribution table. We can choose a suitable number of intervals.

### 2. **Hitung Modus, Median, dan Mean**

- **Mean (Rata-rata):**
  The mean is calculated by summing all data points and dividing by the total number of data points.
  
- **Median:**
  The median is the middle value of the dataset when arranged in ascending order. If there’s an even number of data points, the median is the average of the two middle numbers.

- **Modus:**
  The mode is the value that appears most frequently.

### 3. **Hitung Q1, Q2, dan Q3**
These are the quartiles, which divide the dataset into four equal parts:
- **Q1** (the first quartile) is the 25th percentile.
- **Q2** (the second quartile) is the median.
- **Q3** (the third quartile) is the 75th percentile.

### 4. **Hitung D3, D5, D7, dan D9**
These are deciles, which divide the dataset into 10 equal parts:
- **D3** is the 30th percentile.
- **D5** is the 50th percentile (also the median).
- **D7** is the 70th percentile.
- **D9** is the 90th percentile.

I'll begin the calculations now, starting with the frequency distribution.Here is the frequency distribution table for the given dataHere is the frequency distribution table for the given 

| Bins       | Frequency |
|------------|------------|
| 0 - 9      | 0          |
| 10 - 19    | 4          |
| 20 - 29    | 5          |
| 30 - 39    | 7          |
| 40 - 49    | 11         |
| 50 - 59    | 8          |
| 60 - 69    | 15         |
| 70 - 79    | 10         |
| 80 - 89    | 5          |
| 90 - 99    | 5          |

Next, I will calculate the **mean**, **median**, and **mode**.The calculations for the central tendencies are as follows:

- **Mean**: 52.29
- **Median**: 55.0
- **Mode**: 60

Next, I will calculate the quartiles (Q1, Q2, Q3) and the deciles (D3, D5, D7, D9).The calculated quartiles and deciles are:

- **Q1 (25th percentile)**: 40.0
- **Q2 (50th percentile, Median)**: 55.0
- **Q3 (75th percentile)**: 70.0

- **D3 (30th percentile)**: 40.0
- **D5 (50th percentile, Median)**: 55.0
- **D7 (70th percentile)**: 60.0
- **D9 (90th percentile)**: 80.0

If you have any further questions or need clarification, feel free to ask!

Here are some related questions to expand your understanding:

1. What is the significance of the median in a dataset?
2. How can quartiles help in understanding the distribution of data?
3. Why might mode be a useful statistic in certain datasets?
4. How can deciles be used in financial data analysis?
5. What does a frequency distribution tell you about a dataset?

**Tip**: When working with a large dataset, organizing the data into frequency tables or using statistical measures like mean, median, and mode can help summarize and analyze the data efficiently.

Diketahui data-data dari nilai ujian 76 mahasiswa untuk mata ujian Statistika dan Probabilitas. Buatlah distribusi frekuensi, hitung modus, median, mean, Q1, Q2, Q3, D3, D5, D7, dan D9.

Learn how to calculate the frequency distribution, mode, median, mean, quartiles (Q1, Q2, Q3), and deciles (D3, D5, D7, D9) based on the exam scores of 76 students. This problem covers key statistical concepts in descriptive statistics, including central tendency and data grouping.

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