Question

If the mean of x₁, and x₂, is 12.5 and mean of x₁, x₂ and x₃ is 16. The value of x₃ is ______.

Options

• 32

• 3.5

• 285

• 23

Answer 1

If the mean of x₁, and x₂, is 12.5 and mean of x₁, x₂ and x₃ is 16. The value of x₃ is 23.

Explanation:

The sum of x₁ and x₂ is 2 × 12.5 = 25, while the sum of all three variables x₁, x₂, and x₃ is 3 × 16 = 48. Subtracting the sum of the first two values from the total sum gives 48 − 25 = 23.