Explanation
Step 1: Identify the given data points
From the problem description, we are given the individual values for three variables along with the collective total:
Value of A = 3
Value of B = 5
Value of C = 2
Total sum = 10
Step 2: Calculate the individual percentage share
To find the percentage relative to the total, we use the formula:
Percentage (%)=(Total ValueIndividual Value)×100
Percentage of A:
%A=103×100=3×10=30%
Percentage of B:
%B=105×100=5×10=50%
Percentage of C:
%C=102×100=2×10=20%
Conclusion
Comparing the calculated values:
Since 50% is the largest percentage share, B has the maximum percentage.
(Shortcut Note: Since the total denominator is exactly the same for all computations, the person with the largest absolute frequency value will unconditionally yield the highest percentage value: 5 > 3 > 2 \implies \text{B}.)
Correct Answer
The correct option is (b) B.