Correct Answer - Option 3 : 56
Given:
Average of consecutive observations are x, (x + 2), (x + 4) and (x + 6) is 53.
Concept used:
Average = Sum of observations/Number of observations
Calculation:
Average = [(x) + (x + 2) + (x + 4) + (x + 6)]/4
⇒ 53 = (4x + 12)/4
⇒ 53 × 4 = 4x + 12
⇒ 212 = 4x + 12
⇒ 212 - 12 = 4x
⇒ 200 = 4x
⇒ 50 = x
Largest observation = x + 6
⇒ 50 + 6
⇒ 56
∴ The value of largest observation is 56.