What is a​ percentile? Describe how the accompanying table allows you to relate standard scores and percentiles.

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Part 1

Choose the correct answer below.

A.

The percentile of a data value is the percentage of all data values in a data set that are greater than or equal to it. For the standard scores given in the​ table, the table gives the percentage of values in the distribution less than or equal to that value.

B.

The percentile of a data value is the percentage of all data values in a data set that are less than or equal to it. For the standard scores given in the​ table, the table gives the percentage of values in the distribution less than or equal to that value.

C.

The percentile of a data value is the percentage of all data values in a data set that are greater than or equal to it. For the standard scores given in the​ table, the table gives the percentage of values in the distribution greater than or equal to that value.

D.

The percentile of a data value is the percentage of all data values in a data set that are less than it. For the standard scores given in the​ table, the table gives the percentage of values in the distribution less than that value.

The correct answer is:

**B.** The percentile of a data value is the percentage of all data values in a data set that are less than or equal to it. For the standard scores given in the table, the table gives the percentage of values in the distribution less than or equal to that value.

### Explanation:
A **percentile** indicates the position of a data value in relation to the rest of the data set. Specifically, the percentile of a data point tells you what percentage of the data falls below or at that value. In the context of **standard scores** (such as Z-scores in a normal distribution), the table you refer to would allow you to convert standard scores to percentiles by showing what proportion of the distribution is less than or equal to a particular score.

For example, a Z-score of 0 corresponds to the 50th percentile because 50% of the data falls below or at the mean in a normal distribution.

### Do you have any questions or want more details on this topic?

Here are 5 related questions:
1. How is a Z-score calculated in a normal distribution?
2. What is the relationship between percentiles and quartiles?
3. Can a percentile be used to calculate probability in a normal distribution?
4. How do you interpret a percentile rank of 90% in test scores?
5. What is the difference between percentile rank and percentile score?

**Tip:** Percentiles are useful in comparing individual scores to a larger group, often seen in standardized testing and statistical analysis.

What is a percentile? Describe how the accompanying table allows you to relate standard scores and percentiles.

Explore how percentiles and standard scores relate using a Z-score table. Learn how to interpret percentiles and how they help compare individual data points within a normal distribution. This guide is perfect for high school students (Grades 9-12).

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