schrodinger wrote:
\(a>b>c>d>e>f>g>h>i>j>k\)
Quantity A |
Quantity B |
\(e\) |
\(\)\(\frac{a + b + c + d + e + f + g + h + i + j + k}{11}\) |
A Quantity A is greater.
B Quantity B is greater.
C The two quantities are equal.
D The relationship cannot be determined from the information given.
Note: \(\frac{a + b + c + d + e + f + g + h + i + j + k}{11}\) is the AVERAGE of the values from a to k
There are many possible scenarios that satisfy the given information:
case a: The values for k, j, i, h, g, f,
e, d, c, b, a are 1, 2, 3, 4, 5, 6,
7, 8, 9, 10, 1,000,000,000,000,000,000 respectively.
So, we have:
Quantity A:
e = 7Quantity B: The average is much bigger than greater than 7
So,
Quantity B is greatercase b: The values for k, j, i, h, g, f,
e, d, c, b, a are -1,000,000,000,000,000,000, 1, 2, 3, 4, 5,
6, 7, 8, 9, 10, respectively.
So, we have:
Quantity A:
e = 6Quantity B: The average is much smaller than greater than 6
So,
Quantity A is greaterAnswer: D