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Select the correct value from the following options:
32.7
32.2
31.1
31.7
32.2
Identify the first five primes greater than 20 by checking odd numbers: 23, 29, 31, 37, 41. Sum them up: 23+29=52, 52+31=83, 83+37=120, 120+41=161. Divide by 5: 161 / 5 = 32.2.
The first five prime numbers greater than 20.
Average=n∑i=1nxi
Identify the first five primes greater than 20 by checking odd numbers: 23, 29, 31, 37, 41. Sum them up: 23+29=52, 52+31=83, 83+37=120, 120+41=161. Divide by 5: 161 / 5 = 32.2.
Including 19 or 21 in the set. 19 is less than 20, and 21 is composite (3×7).
Identify prime numbers
List the first five prime numbers strictly greater than 20: 23, 29, 31, 37, 41.
23,29,31,37,41
Calculate the sum
Add the five prime numbers together: 23+29+31+37+41=161
161
Calculate the average
Divide the sum by the count of numbers (n=5): 5161=32.2
32.2
B is correct because the average of 23, 29, 31, 37, and 41 is 161/5, which equals 32.2.
Always verify primality for odd numbers near the threshold; remember that even numbers greater than 2 are never prime.
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