data sufficiency from manhattan question bank

[diebeatsthegmat]

hi guy, can you please solve this data sufficiency?

What is the sum of 5 evenly spaced integers in a set?

1. The median of the set of numbers is 0.
2. The range of the numbers in the set is 4.
i solved it and my answer is A however its not the answer and i dont have its explaination

[selango]

Let X be the first integer and a be the difference.

Sum of evenly spaced integer=x+x+a+x+2a+x+3a+x+4a

stmt1,

Median=x+2a

x+2a=0

x=-2a

-2a-a+0+a+2a=0

sufficient.

stmt2,

Range=(x+4a)-(x)=4a

4a=4

a=1

No info abt x

Insufficient.

IMO A is answer.

Please correct me If I am wrong.

[gmatmachoman]

hi guy, can you please solve this data sufficiency?

What is the sum of 5 evenly spaced integers in a set?

1. The median of the set of numbers is 0.
2. The range of the numbers in the set is 4.
i solved it and my answer is A however its not the answer and i dont have its explaination

Evenly spaced integers are in Arithmetic Progression, i.e. with a same common difference.

They could be consecutive even or cosecutive odd numbers or succesive numbers

for example, 0, 2, 4, 6 are consequtive even integers (evenly spaced - i.e. having a same common difference -2)

for example, 0, 3, 5, 7 are consequtive odd integers (evenly spaced - i.e. having a same common difference-2)

st 1 :Statement 1: says middle integers is 0.

therefore, 2 integers will be negative and 2 integers will be positive

to exemplify, consider -2,-1, 0, 1, 2

sum =0


another example : -6,-3,0,3,6

for any set of evenly spaced integers with middle number as 0, the sum is zero. so statement 1- sufficient

st 2: The range of the numbers in the set is 4.

case 1:
0,1,2,3,4

Range : (4-0) = 4
Sum : 10

case 2:
4,5,6,7,8
Range : 4
Sum : 30

Inconsistent. Insufficient

Pick A

[selango]

diebeatsthegmat,

What is OA in question bank?

[KrazyKarl]

Everyone's explanations for A makes sense...that's not the official answer?

[diebeatsthegmat]

Everyone's explanations for A makes sense...that's not the official answer?

sorry guys,
A is OA
i was wrong. i also got A- the answer then i checked wrong answer, didnt know how i was. srry