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The average of all the prime numbers between 30 and 50 is:
40.2
40.4
38.9
39.8
39.8
List out the prime numbers between 30 and 50 quickly: 31, 37, 41, 43, 47. Sum them up: 31+37+41+43+47=199, and divide by the count (5).
Prime numbers between 30 and 50
Average=Number of primesSum of prime numbers
List out the prime numbers between 30 and 50 quickly: 31, 37, 41, 43, 47. Sum them up: 31+37+41+43+47=199, and divide by the count (5).
Including 30 or 50, or including composite numbers like 33, 35, 39, 45, 49 in the sum.
Step 1: Identify prime numbers between 30 and 50
Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. The prime numbers between 30 and 50 are: 31,37,41,43,47.
P={31,37,41,43,47}
Step 2: Calculate the sum of these prime numbers
Add all the identified prime numbers together: 31+37+41+43+47=199.
Sum=31+37+41+43+47=199
Step 3: Find the average
Divide the sum by the total count of prime numbers (which is 5): Average=5199=40.4.
Average=5199=40.4
B is correct because the prime numbers between 30 and 50 are 31, 37, 41, 43, and 47, whose sum is 199, and their average is 199/5=40.4.
Knowing prime number ranges (e.g., 25 primes up to 100) helps solve number system and probability questions quickly.
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