On a standardized test, the median mark was 70.8%. Of the 22,759 students who wrote the test, only 1 received this mark. How many students got a lower mark?A) 6,790B) 11,379C) 16,113D) It is impossible to know based on this information alone.
Question
On a standardized test, the median mark was 70.8%. Of the 22,759 students who wrote the test, only 1 received this mark. How many students got a lower mark?A) 6,790B) 11,379C) 16,113D) It is impossible to know based on this information alone.
Solution
The median is the middle number in a sorted list of numbers. In this case, since only 1 student received the median mark of 70.8%, this means that half of the students scored below this mark and half scored above.
Since there are 22,759 students, we would divide this number by 2 to find out how many students scored below the median.
22,759 ÷ 2 = 11,379.5
Since we can't have half a student, we round down to the nearest whole number.
So, 11,379 students scored below the median mark of 70.8%.
Therefore, the answer is B) 11,379.
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