1. The problem asks to find the relative frequency for the class with lower class limit 19, which corresponds to the age group 19-22.
2. Relative frequency is calculated by dividing the frequency of the class by the total number of observations, then multiplying by 100 to get a percentage.
3. From the table, the frequency for the class 19-22 is 4.
4. Calculate the total number of students by summing all frequencies:
$$5 + 4 + 3 + 6 + 10 + 2 = 30$$
5. Use the formula for relative frequency:
$$\text{Relative Frequency} = \frac{\text{Frequency of class}}{\text{Total frequency}} \times 100$$
6. Substitute the values:
$$\text{Relative Frequency} = \frac{4}{30} \times 100$$
7. Simplify the fraction:
$$\frac{4}{30} = \frac{\cancel{2} \times 2}{\cancel{2} \times 15} = \frac{2}{15}$$
8. Calculate the percentage:
$$\frac{2}{15} \times 100 = \frac{200}{15} \approx 13.3333...$$
9. Round to one decimal place:
$$13.3\%$$
Final answer: The relative frequency for the class 19-22 is **13.3%**.
Relative Frequency 0F3229
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