Correct Answer - Option 2 : x + 2
Given:
A = {(x - 2), x, (x - 3), (x + 8), (x + 7)}
Formula Used:
Arithmetic mean = Sum of terms/Number of terms
Calculations:
Number of terms = 5
Sum of terms = (x - 2) + x + (x - 3) + (x + 8) + (x + 7)
⇒ Sum of terms = 5x + 10
Arithmetic mean = Sum of terms/Number of terms
⇒ Arithmetic mean = (5x + 10)/5
⇒ Arithmetic mean = (x + 2)
∴ The arithmetic mean of set A is (x + 2).
