Find the mean of the first six prime numbers.

(i) Find the mean of the first six prime numbers.
(ii) Find the mean of the first seven odd prime numbers.

Solution:

(i) First 6 prime numbers are 2, 3, 5, 7, 11, 13

Here, n = 6
∴ Mean (x̄) = Ʃ xi/n
= (2 + 3 + 5 + 7 + 11 + 13)/6
= 41/6
Hence, the mean of the first six prime numbers is 41/6.

(ii) First seven odd prime numbers are 3, 5, 7, 11, 13, 17, 19

Here, n = 7
∴ Mean (x̄) = Ʃ xi/n
= (3 + 5 + 7 + 11 + 13 + 17 + 19)/7
= 75/7
Hence, the mean of the first six prime numbers is 75/7.

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