Question if-a-i
If a is the mean and b is the median of nine consecutive integers, what is the value of 
?
If a is the mean and b is the median of nine consecutive integers, what is
Hard-difficulty · SAT Math · One-Variable Data & Statistics — Mean, median, mode, range. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.
Answer 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.
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