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histogram showing the actual frequency of the closing prices on the stock exchange of a particular stock. from the histogram the class containing the 80th percentile is

To determine the class containing the 80th percentile from the histogram, we can follow these steps:

### 1. **Calculate the Total Frequency**:
   Add up the frequencies of all the classes.

   From the histogram:
   - 10-20: 8
   - 20-30: 12.5
   - 30-40: 7.5
   - 40-50: 3
   - 50-60: 2
   - 60-70: 1
   - 70-80: 1

   \[
   \text{Total Frequency} = 8 + 12.5 + 7.5 + 3 + 2 + 1 + 1 = 35
   \]

### 2. **Determine the 80th Percentile Position**:
   Calculate the position in the data set corresponding to the 80th percentile.

   \[
   \text{80th Percentile Position} = 0.8 \times 35 = 28
   \]

### 3. **Identify the Class Containing the 28th Data Point**:
   - First class (10-20): Cumulative frequency = 8
   - Second class (20-30): Cumulative frequency = 8 + 12.5 = 20.5
   - Third class (30-40): Cumulative frequency = 20.5 + 7.5 = 28

The 28th data point falls within the cumulative frequency of the third class (30-40).

### **Answer**:
The class containing the 80th percentile is **(C) 30-40**.

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Would you like more details or have any questions? Here are some related questions:

1. What is the 50th percentile (median) class from the histogram?
2. How do you interpret the percentile rank in a distribution?
3. How do you determine the interquartile range (IQR) from a histogram?
4. What are some common mistakes when interpreting percentiles in histograms?
5. How can you use cumulative frequency to find other percentiles?

**Tip:** When calculating percentiles from a histogram, always ensure you correctly sum the frequencies and calculate the cumulative frequencies accurately.

Learn how to determine the class containing the 80th percentile from a histogram showing the actual frequency of closing prices on the stock exchange of a particular stock. Step-by-step guide with calculations and explanations. Suitable for high school students studying statistics.

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