This is a question from the DS list of questions in the Word document

Sectio 14 / Question - 10 -

If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?

(1) None of the six numbers is less than 75.

(2) None of the six numbers is greater than 75.

The answer provided is : C

But I get "d"

Thoughts ?

## DS Question - Not agreeing with the answer

##### This topic has expert replies

The stem tells us the mean is 75.

75 = sum/6, So, the sum must equal 75*6 = 450 *both statements say n=6*

(1) The only way for this statement to be true(which statements are ALWAYS TRUE) is for each number to be 75.

(2) Same applies to this.

You can spend some time on this and set up an equation if you like:

For (1):

(75+a) + (75+b) + (75+c) + (75+d) + (75+e) + (75+f) = 450

75*6 + (a+b+c+d+e+f) = 450

450 + (a+b+c+d+e+f) = 450

(a+b+c+d+e+f) = 0

The same applies to for (2) except it would be: 75 -a ...