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Question : The average of five consecutive positive integers is n. If the next two integers are also included, the average of all these integers will:

Option 1: increase by 1.5

Option 2: increase by 1

Option 3: remain the same

Option 4: increase by 2


Team Careers360 18th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

Correct Answer: increase by 1


Solution : Let $(x–2),(x–1), x, (x+1), (x+2)$ be the 5 consecutive positive integers.
The average of an AP with an odd number of terms = middle term
$⇒ x = n$
When the next two integers are also included,
$⇒ (x–2),(x–1), x, (x+1), (x+2), (x+3), (x+4)$
New average = middle term $= (x+1) = n+1$
⇒ Average has increased by 1.
Hence, the correct answer is 1.

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