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Calculate the mean of the first 10 prime numbers.
12.9
13.5
14.2
15.1
12.9
Memorize the sequence of the first 10 primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Summing them in pairs (2+29, 3+23, 5+19, 7+17, 11+13) makes the addition faster: 31+26+24+24+24 = 129.
The first 10 prime numbers are needed to calculate the arithmetic mean.
Mean=nтИСi=1nтАЛxiтАЛтАЛ
Memorize the sequence of the first 10 primes: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29. Summing them in pairs (2+29, 3+23, 5+19, 7+17, 11+13) makes the addition faster: 31+26+24+24+24 = 129.
Students often include '1' as a prime number, which is mathematically incorrect, or miss the number '2' at the start of the sequence.
Identify the first 10 prime numbers
List the first 10 numbers that are only divisible by 1 and themselves.
2,3,5,7,11,13,17,19,23,29
Calculate the sum of the primes
Add all identified prime numbers together.
2+3+5+7+11+13+17+19+23+29=129
Apply the mean formula
Divide the total sum by the count of numbers (n=10).
Mean=10129тАЛ=12.9
A is correct because the sum of the first 10 prime numbers is 129, and dividing this by 10 yields 12.9.
Always verify if the question asks for 'first 10' or 'primes up to 10'. In competitive exams, 'first 10' implies 2 is the starting point, not 3.
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