Question

Find two sets of 6 numbers with average 60 , satisfying each of the
conditions below;
a) Four of the numbers are less than 60 and two of them greater than 60
b) Four of the numbers are greater than 60 and two of them less than 60
​

Answer 1

Step-by-step explanation:

$average \: = \ \frac{sum \: of \: the \: quantities}{number \: of \: quantites}$

So ,

$sum \: of \: the \: quantities \: = \: average \: \times \: number \: of \: quantities \:$

∴ Number of quantities = 60 × 6 = 360

Solution :

Case 1 :—

• Four number should be lesser than 60 .
• Two numbers should be greater than 60 .

So , let the numbers be : 60 - 1 , 60 - 2 , 60 - 3 , 60 - 4 , 60 + 4 , 60 + 6

Case 2 :—

Four number should be greater than 60 .

Two numbers should be lesser than 60 .

So , let the numbers be : 60 + 1 , 60 + 2 , 60 + 3 , 60 + 4 , 60 - 4 , 60 - 6