Which of the following cannot be true? Please explain your answer A: 50% of the

Question

Which of the following cannot be true? Please explain your answer A: 50% of the scores were below the mean B: 30% of the scores were below the mode C: 40% of the scores were above the mean D: 60% of the scores were below the median Which of the following cannot be true? Please explain your answer A: 50% of the scores were below the mean B: 30% of the scores were below the mode C: 40% of the scores were above the mean D: 60% of the scores were below the median A: 50% of the scores were below the mean B: 30% of the scores were below the mode C: 40% of the scores were above the mean D: 60% of the scores were below the median

Explanation / Answer

D. 60% of the scores were below the median.

The median is the middle value of a sorted list of numbers. If there is an odd amount of numbers, the median value is the number that is in the middle, with the same amount of numbers below and above. If there is an even amount of numbers in the list, the middle pair must be determined, added together and divided by two to find the median value. Thus there cannot be 60% of the scores below the median. It is always approximately 50%.

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