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**Frequency Distribution Table**

Relative, cumulative: frequency

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Percentile The pth percentile of a distribution is the value such that p percent of the observation fall at or below it.

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**Standardized test scores**

Roberto received his ACT score and it says he’s in the 80th percentile. What does that mean? 80% of the people who took the test earned scores that were less than or equal to your score.

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**Frequency Distribution Table**

Frequency distribution A tabulation of the number of individuals in each category on the scale of measurement.

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**Age of US presidents at their respective inauguration**

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**Presidential Ages at Inauguration**

1. Get the range of the ages of the presidents 42 to 69 2. Decide on what class size to use Class width of 5 from 40-44, 3. Construct your frequency distribution table

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**FDT: Ages of the presidents at inauguration**

Class size frequency Relative frequency Cumulative frequency Relative Cumulative Frequency 40-44 2 2/43 = 4.7% 45-49 6 6/43 = 14.0% 8 8/43 = 18.6% 50-54 13 13/43 = 30.2% 21 21/43 = 48.8% 55-59 12 12/43 = 27.9% 33 33/43 = 76.7% 60-64 7 7/43 = 16.3% 40 40/43 = 93.0% 65-69 3 3/43 = 7.0% 43 43/43 = 100% Total

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**Constructing your OGIVE**

OGIVE: Relative Cumulative Frequency Graph Was Bill Clinton a young president? According to our ogive, it shows that Clinton’s age places him at the 10% RCF mark. Therefore Clinton was younger than about 90% of all the US presidents based on his inauguration age.

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**Let’s find the distribution of the height of all the students in room 34 during this period.**

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**Height of 2011-2012 AP Statistics Students of BHS**

Your turn! Height of AP Statistics Students of BHS Range: Class width and size: = 14 Width: 3 Size: 58-60; 61-63; 64-66; 67-69; 70-72; 73-75

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**FDT: Height of 2011-2012 AP Statistics Students of BHS**

Class size frequency Relative frequency Cumulative frequency Relative Cumulative Frequency 58-60 2 2/26 = 7.7% 61-63 8 8/26 = 30.8% 10 10/26 = 38.5% 64-66 4 4/26 = 15.4% 14 14/26 = 53.8% 67-69 6 6/26 = 23.1% 20 20/26 = 76.9% 70-72 24 24/26 = 92.3% 73-75 26 26/26 = 100% Total

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**Ogive: Height of 2011-2012 AP Statistics Students of BHS**

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**Vocabulary Summary histogram outlier Stemplots categorical Individuals**

variables Dotplots FDT spread quantitative Individuals percentile center shape ogive skewness

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**Statistical tools Describing SOCS and skewness**

Constructing dotplots and stemplots Describing the SOCS of your distribution Creating histogram Generating histogram using graphing calculator Organizing data by FDT Constructing ogive and finding percentile using ogive.

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