Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What is the median represented by in a box and whiskers plot?

  1. A horizontal line inside the box

  2. The leftmost point of the box

  3. A vertical line extending from the maximum

  4. The distance between the first and third quartiles

The correct answer is: A horizontal line inside the box

In a box and whiskers plot, the median is represented by a horizontal line inside the box. This line divides the box into two parts, indicating that half of the data points fall below this value while the other half lie above it. The box itself represents the interquartile range, which encompasses the middle 50% of the data. The ends of the box correspond to the first quartile (Q1) and the third quartile (Q3), while the whiskers extend to the minimum and maximum values. This visual representation allows for quick assessment of the data distribution, including the central tendency indicated by the median.