Question
Four numbers, when arranged in ascending order, are w,
x, y and z. The average of the smallest three numbers is 25.5 while the average of the largest three numbers is 29.5. What is the range of the data?Solution
⇒ (w + x + y)/3 = 25.5 ⇒ w + x + y = 76.5 ---- (1) Also, ⇒ (x + y + z)/3 = 29.5 ⇒ x + y + z = 88.5 ---- (2) Subtracting equation (1) from (2), we get, ⇒ z – w = 88.5 – 76.5 = 12 ∴ The range of the data is 12.
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