Interpreting Percentiles In Exercises 29–32, use the ogive, which represents the cumulative frequency distribution for quantitative reasoning scores on the Graduate Record Examination in a recent range of years. (Adapted from Educational Testing Service)

What score represents the 65th percentile? How should you interpret this?

검증된 단계별 안내

Step 1: Understand the concept of percentiles. The 65th percentile means that 65% of the scores are below this value, and 35% are above it.

Step 2: Locate the 65th percentile on the vertical axis (y-axis) of the ogive graph. This corresponds to the cumulative percentage of 65%.

Step 3: Draw a horizontal line from the 65th percentile on the y-axis until it intersects the curve of the ogive.

Step 4: From the point of intersection, draw a vertical line down to the horizontal axis (x-axis) to determine the corresponding score.

Step 5: Interpret the result. The score at the 65th percentile represents the value below which 65% of the test takers scored. This score can be used to understand relative performance in the quantitative reasoning section.

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이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Percentiles

A percentile is a statistical measure that indicates the value below which a given percentage of observations fall. For example, the 65th percentile means that 65% of the scores are below this value. Understanding percentiles helps in interpreting how a specific score compares to the overall distribution of scores.

Ogive

An ogive is a graph that represents the cumulative frequency of a dataset. It allows for the visualization of how many data points fall below a certain value. In this context, the ogive helps to determine the score corresponding to a specific percentile, such as the 65th percentile, by showing the cumulative distribution of quantitative reasoning scores.

Cumulative Frequency

Cumulative frequency is the running total of frequencies up to a certain point in a dataset. It provides insight into the distribution of data by showing how many observations fall below a particular score. In the context of the question, it is essential for interpreting the ogive and understanding the score that represents the 65th percentile.