Answer :

(i) Given: 6 numbers and their average is 60.

As the given average is 60 and numbers = 6


Hence, the sum of numbers must be = 60 × 6 = 360


So, Set having 4 of the numbers are less than 60 and 2 of them greater than 60 = {56, 57, 58, 59, 62, 68}


Average =(56+57+58+59+62+68)/6


= 360/6


= 60


Which is true as per given condition.


Hence, the required set is {56, 57, 58, 59, 62, 68}.


(ii) Given: 6 numbers and their average is 60.


As the given average is 60 and numbers = 6


Hence, the sum of numbers must be = 60 × 6 = 360


Set having 4 of the numbers are greater than 60 and 2 of them less than 60 = {61, 62, 63, 64, 58, 52}


Average =(61+62+63+64+58+52)/6


= 360/6


= 60


Which is true as per given condition.


Hence, the required set is {61, 62, 63, 64, 58, 52}.


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