Posted by **Sarah** on Wednesday, August 15, 2012 at 7:26pm.

Which of the following CANNOT be the average ( arithmetic mean) of four positive even integers?

a) 1

b) 2

c) 6

d) 9

e) 17

( please explain or show work. It will help me understand it better! Thanks)

- Math -
**MathMate**, Wednesday, August 15, 2012 at 8:13pm
To give an example, 17 can be thought of as

(6+6+6+6)/4=6

or

(17+17+17+17)/4=17

Since they are not all even, we can adjust by adding 1 to a number, and subtracting 1 from the next, such as:

(18+16+18+16)/4=17

So work in a similar way for all the given choices until you find one that does not satisfy the conditions that

1. all numbers must be positive (i.e. ≥ 1).

2. all numbers must be even

## Answer This Question

## Related Questions

- math - Which of the following can be the average(arithmetic mean ) of four ...
- math - Which of the following can be the average(arithmetic mean ) of four ...
- Math - If n+1 is the largest of four consecutuve integers, represent the sum of ...
- algebra - Simplify. 3 - 2(4 - 7) รท 9 i don't know what ta dooooo after i ...
- Math - FIve players played a scored board game. If the average ( arithmetic mean...
- MATH PLEASE SHOW WORK - Three consecutive odd intergers are such that the sum ...
- math - the average of 4 concecutive even integers is 17. find the integers ...
- math - Using these integers:-1,+6,-8,+3,-2 a) Which integers have the greatest ...
- Geometry - CounterExamples and Inductive Reasoning and Conjectures? Make a ...
- 11th grade mths - Please check urgently .I have to submit the assignment A give ...

More Related Questions