https://file.aiquickdraw.com/mathbot/file/1726453708654my30awlw.jpg

The graph shown in the image is an ogive, which represents cumulative relative frequency and can be interpreted as a percentile curve for math test scores. The question asks to approximate the percentile rank of an individual whose test score is 50.

Let's interpret the graph:

1. The horizontal axis represents the test scores.
2. The vertical axis represents the percentile rank (from 0 to 100).

To find the percentile rank for a test score of 50, we follow these steps:

- Locate 50 on the horizontal axis (x-axis).
- Draw a vertical line from this point upwards until it intersects the curve.
- From the intersection point, draw a horizontal line to the vertical axis (y-axis), and the corresponding value on the y-axis is the percentile rank.

From the graph, the score of 50 corresponds approximately to the 63rd percentile.

Thus, the correct answer is **B. 63**.

Do you need more details or further explanation?

Here are some additional related questions:
1. How is an ogive different from a frequency polygon?
2. What does a steep slope in an ogive indicate about the data distribution?
3. How would you interpret the graph if someone scored 70 on the test?
4. What would the cumulative frequency be for the highest score on this test?
5. How can we use an ogive to estimate median and quartiles?

**Tip:** When reading percentile graphs, always check that the x-axis and y-axis are labeled correctly, as the interpretation depends on understanding what each axis represents.

Use the graph to approximate the percentile rank of an individual whose test score is 50.

Learn how to use an ogive graph to approximate the percentile rank of a test score of 50. This problem covers cumulative frequency interpretation and graph analysis, suitable for high school students.

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