Graduate Management Admission Test (GMAT) Practice Test

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Study for the Graduate Management Admission Test (GMAT) with multiple-choice questions and detailed explanations. Enhance your preparation with practice flashcards and hints. Get ready for your GMAT exam!

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In an evenly spaced set, which three values are equal?

Average, median, and mode
Average, the average of highest and lowest, and median
Highest, lowest, and median
Median, mode, and total

The correct answer is: Average, the average of highest and lowest, and median

In an evenly spaced set of values, the average, the average of the highest and lowest values, and the median will indeed be equal. An evenly spaced set means that the difference between consecutive values is constant. When you calculate the average of this set, you are taking the sum of all values and dividing by the number of values. This calculation will reflect a central tendency that corresponds to the equally distributed nature of the values. The median, which is the middle value when the data is arranged in order, will also fall at the same position in an evenly spaced set. Because of the equal spacing, the median aligns with the average. Additionally, the average of the highest and lowest values can be computed by adding those two values together and dividing by two. In an evenly spaced set, since the values are symmetrically distributed, this average is also equivalent to both the median and the overall average of the complete set, confirming that they are all equal. Thus, in this scenario, option B accurately encapsulates the relationship among these three statistics in an evenly spaced set.