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Examoogle • User • info@examoogle.com • EE-2024-8821
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The average of the prime numbers between 11 and 30, both excluded, is:
20.2
20.3
19.6
19.5
20.2
List out the prime numbers between 11 and 30 quickly by skipping even numbers and multiples of 3 and 5.
Prime numbers between 11 and 30, both excluded.
Average=Count of prime numbersSum of prime numbers
List out the prime numbers between 11 and 30 quickly by skipping even numbers and multiples of 3 and 5.
Including 11 or 30 in the list of prime numbers, or missing one of the primes between 11 and 30.
Step 1: Identify the prime numbers between 11 and 30
We need to find all prime numbers strictly greater than 11 and strictly less than 30. These are: 13,17,19,23, and 29.
13,17,19,23,29
Step 2: Find the sum of these prime numbers
Add the identified prime numbers together: 13+17+19+23+29=101.
13+17+19+23+29=101
Step 3: Calculate the average
Divide the total sum by the count of numbers (n=5): Average=5101=20.2.
Average=5101=20.2
A is correct because the average of the prime numbers between 11 and 30 (13, 17, 19, 23, 29) is 101 / 5 = 20.2.
Always verify whether boundary numbers ('both included' vs 'both excluded') are part of the set before performing calculations.
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