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[AP Statistics] 2.1a - Percentiles

Last updated 5 months ago

20 questions

The Dotplot below represents a random sample of 20 scores from the Chapter 1 Test (Skill #1) (2022-2023)

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Describe the distribution

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Gerald scored a 2.8 on skill 1-1. What percent of scores are less than or equal to 2.8?

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The value you calculated above is known as Gerald's Percentile. A percentile lets us know where in a distribution a particular score is.

What score is at the 0th percentile?

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What score is at the 70th percentile?

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Complete the following table. Cumulative Relative Frequency is another name for Percentile. To find the percentile of a range of scores, find the percent of scores that are in that range or lower.

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Use the info in the table from question 5 to create a cumulative relative frequency graph.

And example is below.

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Stella was not included in the data but scored a 2.0 on the skill. Estimate her percentile using the graph above.

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Estimate and interpret the 40th percentile.

In AP Statistics, you will often be asked to interpret numbers. That means you should explain the context of the number and what it means in plain English.

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The first quartile would be at the 25th percentile. The third quartile would be at the 75th percentile. Use the graph to estimate the IQR of this distribution

Important Ideas:

The questions that follow are from the textbook (Section 2-1). I'll mostly post odd questions so you can find the answers in the back of the book.

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Are there any problems above that you would like to go over in class? Indicate the question numbers below (Numbers refer to the Formative question number). I'll try to cover anything that is highly requested.