The average of 5 terms is 15. If the first 4 terms are 12, 17, 23 and 8, what will be the fifth term?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 15.
We know that,
Average = Sum of observations/Number of observations
Now,
Now, let the fifth term be x
Sum of 5 terms = 15 × 5 = 75
⇒ 12 + 17 + 23 + 8 + x = 75
⇒ 60 + x = 75
⇒ x = 75 - 60
⇒ x = 15
Hence, the fifth term is 15