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Four numbers in ascending order are w, x, y and z. The average of the smallest three is 25.5, and the average of the largest three is 29.5. What is the range of the data?
A12
B10
C13
D11
Answer & Solution
Correct answer: A. 12
1. Smallest three: w + x + y = 3 × 25.5 = 76.5.
2. Largest three: x + y + z = 3 × 29.5 = 88.5.
3. Subtract: z - w = 88.5 - 76.5 = 12.
4. Range = largest - smallest = z - w = 12.
_Source: RRB Group D CEN-02/2018 PYQ, Q.44._