Complete the frequency distribution using the classes: 10-14, 15-19, 20-24,
25-29, 30-34, 35-39
10, 12, 15, 18, 19, 15, 26 ,34, 25, 36, 39, 37, 26, 24, 25 ,21 ,20 ,10, 16, 18,
25, 34, 12, 15, 24, 38, 32, 25, 24, 16, 18, 19, 34, 38, 26, 22, 20, 10, 30, 16
What percent of the data values fall in the class 20-24?

Let's first create the frequency distribution table for the given data based on the classes provided: 

### Classes:
- 10-14
- 15-19
- 20-24
- 25-29
- 30-34
- 35-39

### Data:
10, 12, 15, 18, 19, 15, 26, 34, 25, 36, 39, 37, 26, 24, 25, 21, 20, 10, 16, 18, 25, 34, 12, 15, 24, 38, 32, 25, 24, 16, 18, 19, 34, 38, 26, 22, 20, 10, 30, 16

### Step 1: Count the frequency for each class.

1. **Class 10-14**:  
   Values: 10, 12, 12, 10, 10  
   Frequency: 5

2. **Class 15-19**:  
   Values: 15, 18, 19, 15, 18, 16, 18, 15, 16, 18, 19  
   Frequency: 11

3. **Class 20-24**:  
   Values: 21, 20, 24, 24, 20, 24, 22  
   Frequency: 7

4. **Class 25-29**:  
   Values: 26, 25, 26, 25, 25, 25, 26  
   Frequency: 7

5. **Class 30-34**:  
   Values: 34, 34, 34, 32, 30  
   Frequency: 5

6. **Class 35-39**:  
   Values: 36, 39, 37, 38, 38  
   Frequency: 5

### Step 2: Calculate the total number of data values.
Total frequency = 5 + 11 + 7 + 7 + 5 + 5 = **40**

### Step 3: Calculate the percentage of data values that fall in the class 20-24.

\[
\text{Percentage} = \left(\frac{\text{Frequency of Class 20-24}}{\text{Total Frequency}}\right) \times 100 = \left(\frac{7}{40}\right) \times 100 = 17.5\%
\]

**Answer:** 17.5% of the data values fall in the class 20-24.

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Do you want more details or have any questions?

Here are 5 related questions:

1. What is the relative frequency of the class 15-19?
2. How do you calculate the cumulative frequency for these classes?
3. What is the mode of the data set?
4. Can you construct a histogram based on this frequency distribution?
5. What is the mean of the data set?

**Tip:** When calculating percentages for a specific class, always ensure that the total frequency is accurate to avoid miscalculations.

Learn how to calculate the percentage of data values falling in the class 20-24 within a given frequency distribution. This problem involves analyzing data frequencies and applying percentage calculation methods. Suitable for students and learners interested in statistics and data analysis.

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