Frequency Distribution Table Relative, cumulative: frequency

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

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.

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

Age of US presidents at their respective inauguration

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, 45-49... 3. Construct your frequency distribution table

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

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.

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

Height of 2011-2012 AP Statistics Students of BHS Your turn! Height of 2011-2012 AP Statistics Students of BHS Range: Class width and size: 73 - 59 = 14 Width: 3 Size: 58-60; 61-63; 64-66; 67-69; 70-72; 73-75

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

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

Vocabulary Summary histogram outlier Stemplots categorical Individuals variables Dotplots FDT spread quantitative Individuals percentile center shape ogive skewness

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.