Correct Answer - Option 1 : 54
Given:
Average of 6 consecutive even integers is 49.
Concepts used:
Average = Sum of all observations/Number of observations
Calculation:
Let first even intger be x.
So, Six even consecutive number are x, (x + 2), (x + 4), (x + 6), (x + 8), (x + 10)
Sum of 6 consecutive even integers = x + (x + 2) + (x + 4) + (x + 6) + (x + 8) + (x + 10) = 6x + 30
Average = Sum of all observations/Number of observations
⇒ 49 = (6x + 30)/6
⇒ x + 5 = 49
⇒ x = 49 – 5 = 44
Largest even integer = x + 10 = 44 + 10 = 54
∴ The largest even integer is 54.
