Find two sets of 6 numbers with average 60, satisfying each of the conditions below:
i) 4 of the numbers are less than 60 and 2 of them greater than 60.

ii) 4 of the numbers are greater than 60 and 2 of them less than 60.

Question

Philoid · Accepted 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}.

Find two sets of 6 numbers with average 60, satisfying each of the conditions below:i) 4 of the numbers are less than 60 and 2 of them greater than 60.ii) 4 of the numbers are greater than 60 and 2 of them less than 60.