https://file.aiquickdraw.com/mathbot/file/1726638395210p2s3lg1h.jpg

Let's solve the three parts of this question based on the given table:

### Table Data:
- Years (1981–1991) with the number of graduates:
  ```
  1981: 106, 1982: 318, 1983: 322, 1984: 310, 1985: 425, 
  1986: 410, 1987: 315, 1988: 325, 1989: 325, 1990: 365, 1991: 350
  ```

#### a. Tentukan Rentangnya (Range)
The range is calculated by finding the difference between the maximum and minimum values in the dataset.

\[
\text{Range} = \text{Max} - \text{Min} = 425 - 106 = 319
\]

#### b. Berapa Orang Siswa Rata-rata Lulus Tiap Tahun? (Average Number of Graduates)
To find the average number of graduates, we sum all the graduate numbers and divide by the total number of years (11 years).

Sum of graduates:
\[
106 + 318 + 322 + 310 + 425 + 410 + 315 + 325 + 325 + 365 + 350 = 3571
\]

Average:
\[
\text{Average} = \frac{3571}{11} \approx 324.64
\]

#### c. Tentukan Simpangan Baku (Standard Deviation)
The formula for standard deviation is:

\[
\sigma = \sqrt{\frac{1}{n} \sum_{i=1}^{n} (x_i - \mu)^2}
\]
Where:
- \( x_i \) are the data points (number of graduates),
- \( \mu \) is the mean (324.64),
- \( n \) is the number of data points (11).

I'll calculate this next.The calculations are as follows:

- **Mean (Average) number of graduates**: 324.64 (rounded to two decimal places)
- **Standard deviation**: 78.50 (rounded to two decimal places)

### Summary:
- **Range**: 319
- **Average**: 324.64 graduates per year
- **Standard deviation**: 78.50 graduates

Would you like any further explanation or details?

Here are 5 related questions for further exploration:
1. How does changing the number of years affect the range or standard deviation?
2. What if the number of graduates for one year was misreported? How would that affect the mean and standard deviation?
3. How can we visualize the spread of this data over time?
4. What does the standard deviation tell us about the consistency of graduate numbers?
5. How would the median differ from the mean in this dataset?

**Tip:** When comparing datasets, the standard deviation helps determine how spread out the data points are from the mean.

Selama periode 1981-1991 sebuah sekolah telah meluluskan siswanya seperti diperlihatkan pada tabel. a. Tentukan rentangnya! b. Berapa orang siswa rata-rata lulus tiap tahun? c. Tentukan simpangan baku jumlah lulusan tersebut!

Solve a statistical problem based on the number of graduates between 1981 and 1991. Learn how to calculate the range (319), mean (324.64 graduates per year), and standard deviation (78.50) from this dataset. Suitable for Grades 10-12.

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