Suppose a frequency distribution table shows the following frequencies for four classes: class a: 5, class b: 8, class c: 7, and class d: 10. What is the relative frequency of class d?

• A. $\frac{7}{30}$
• B. $\frac{10}{30}$
• C. $\frac{5}{30}$
• D. $\frac{8}{30}$

Answer: (B)

Verified step by step guidance

1. Identify the frequency of class d from the table, which is given as 10.
2. Calculate the total frequency by summing the frequencies of all classes: 5 (class a) + 8 (class b) + 7 (class c) + 10 (class d).
3. Write the formula for relative frequency of a class as: \(\text{Relative Frequency} = \frac{\text{Frequency of the class}}{\text{Total frequency}}\).
4. Substitute the values for class d into the formula: \(\frac{10}{5 + 8 + 7 + 10}\).
5. Simplify the denominator to find the total frequency and express the relative frequency as a fraction with numerator 10 and denominator equal to the total frequency.