(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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