diebeatsthegmat wrote: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
