sat suite question viewer
Problem-Solving and Data Analysis
Difficulty: Medium
If a is the mean and b is the median of nine consecutive integers, what is the value of 
?
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Explanation
The correct answer is 0. Any nine consecutive integers can be written as 
, 
, 
, 
, 
, 
, 
, 
, 
. The mean of the integers is their sum divided by 9: 
, which simplifies to . So 
. Since there is an odd number of integers (nine), the median is the integer in the middle when all the integers are ordered from least to greatest: . So 
. Therefore, 
, which is 0.