If we want the median to be 15, what number can be put into the
If we want the median to be 15, what number can be put into the set to make this true? 1,3,8,25,30
- A. 15
- B. 25
- C. 8
- D. 22
Correct Answer: D. 22
Explanation
The set is already in increasing order. We have five numbers in the set, however, we need to add another number to ensure the set will have a median of 15. This will make the set have six numbers. When there is an even number in the set, we need to take the two middle numbers by adding them then dividing by two. Let's say this number is x. Let's setup an equation. 8+x/2=15. The numerator represents the two middle numbers being added and divided by the denominator. If we multiply both sides by 2 and subtract 8 on both sides, x is 22. Make sure this answer doesn't violate the set. 22 is less than 25 but greater than 8, so therefore 22 is the correct answer.