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To solve for the 75th percentile of the stock price data, we first need to understand the distribution based on the frequency table provided.

### Step-by-Step Solution:

#### 1. **Identify the total number of companies:**
   The total number of companies is the sum of the frequencies in the "Banyak perusahaan" column:
   
   \[
   5 + 20 + 40 + 27 + 8 = 100 \text{ companies}
   \]

#### 2. **Determine the 75th percentile position:**
   The 75th percentile corresponds to 75% of 100 companies:
   
   \[
   0.75 \times 100 = 75 \text{th company}
   \]

#### 3. **Find the interval containing the 75th company:**
   Using cumulative frequencies, we identify the interval that contains the 75th company:
   - Cumulative frequency for 60–62: \( 5 \)
   - Cumulative frequency for 63–65: \( 5 + 20 = 25 \)
   - Cumulative frequency for 66–68: \( 25 + 40 = 65 \)
   - Cumulative frequency for 69–71: \( 65 + 27 = 92 \)
   - Cumulative frequency for 72–74: \( 92 + 8 = 100 \)
   
   The 75th company falls within the 69–71 interval, since 65 < 75 ≤ 92.

#### 4. **Apply linear interpolation to find the 75th percentile:**
   The interval is 69–71, and the cumulative frequency before this interval is 65, with 27 companies in this interval. We can now interpolate:
   
   \[
   P_{75} = 69 + \left(\frac{75 - 65}{27}\right) \times (71 - 69)
   \]
   
   Simplifying:
   
   \[
   P_{75} = 69 + \left(\frac{10}{27}\right) \times 2
   \]
   \[
   P_{75} \approx 69 + 0.74 = 69.74
   \]

#### 5. **Round to the nearest hundred:**
   When rounded to the nearest hundred, the 75th percentile is **70**.

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Would you like more details or have any questions?

### Additional Related Questions:
1. How do you calculate the 50th percentile (median) from this data?
2. What is the interquartile range (IQR) based on the percentiles?
3. How would the result change if the data had been weighted differently?
4. What is the significance of the 75th percentile in this type of stock distribution?
5. Can you explain how linear interpolation works in percentile calculations?

### Tip:
When using cumulative frequency to find percentiles, always ensure the position falls within the right interval, and use linear interpolation for better accuracy when the data is grouped.

Berikut ini adalah tabel distribusi frekuensi harga saham dari 100 perusahaan disuatu Bursa efek pada akhir tahun 2007. Nilai persentil 75 jika di bulatkan sampai ratusan terdekat adalah?

This problem guides you through the process of calculating the 75th percentile of stock price data from a frequency distribution table. It covers cumulative frequency, linear interpolation, and rounding the result to the nearest hundred. Perfect for high school students in grades 10-12.

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