Given the following partial relative frequency distribution for a set of data: Category A: $0.25$, Category B: $0.40$, Category C: $0.20$. What is the relative frequency for Category D if these are the only categories?

• A. $0.05$
• B. $0.15$
• C. $0.10$
• D. $0.25$

Answer: (B)

Verified step by step guidance

1. Understand that the sum of all relative frequencies for all categories must equal 1, since they represent the complete distribution of the data.
2. Add the given relative frequencies for Categories A, B, and C: \$0.25 + 0.40 + 0.20$.
3. Calculate the total relative frequency accounted for by these three categories.
4. Subtract this total from 1 to find the relative frequency for Category D: \$1 - (0.25 + 0.40 + 0.20)$.
5. The result from this subtraction gives the relative frequency for Category D, completing the distribution.