Median and range puzzlers

The  exercise appears under the 6th grade (U.S.) Math Mission. This exercise presents logic puzzles involving the median and range.

Types of Problems
There is one type of problem in this exercise:


 * 1) Determine if the statement is true, false, or cannot be determined: This problem presents some information about a data set regarding the range and the median. The student is asked to say if the information is true, false, or not able to be determined.Marp1.png

Strategies
Knowledge of statistical vocabulary and the ability to do basic statistical calculations are encouraged to ensure success on this exercise.
 * 1) The median is the value in the middle of an ordered data set.
 * 2) The range is the difference between the maximum and minimum of a data set.
 * 3) This problem can be completed by drawing slots to represent the numbers, and inserting the median, or the minimum and maximum into those slots.
 * 4) Be wary of the meaning of the words "could" and "must" on this exercise.

Real-life Applications

 * 1) Data and statistics appear in news reports and in the media every day.
 * 2) Many of the problems in this exercise could be viewed as real-life applications.
 * 3) Statistics can be seen more frequently than calculus in every day life.
 * 4) This particular problem is common on standardized tests, such as the SAT or GRE.