frequency distribution table
DESCRIPTION
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. 80% of the people who took the test earned scores that were less than or equal to your score. - PowerPoint PPT PresentationTRANSCRIPT
Relative, cumulative: frequency
Frequency Distribution Table
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 TableFrequency
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 presidents42 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
Class size frequency
Relative frequency
Cumulative
frequency
Relative Cumulative Frequency
40-44 2 2/43 = 4.7% 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 43
FDT: Ages of the presidents at inauguration
Constructing your OGIVEOGIVE: 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.
Your turn!Height of 2011-2012 AP Statistics Students of BHS
Range:Class
width and size:
73 - 59 = 14
Width: 3Size: 58-60; 61-63; 64-66; 67-69; 70-72; 73-75
Class size frequency
Relative frequency
Cumulative
frequency
Relative Cumulative Frequency
58-60 2 2/26 = 7.7% 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 4 4/26 = 15.4% 24 24/26 = 92.3%
73-75 2 2/26 = 7.7% 26 26/26 = 100%
Total 26
FDT: Height of 2011-2012 AP Statistics Students of BHS
Ogive: Height of 2011-2012 AP Statistics Students of BHS
Vocabulary Summary
Individuals variablescategorical
quantitative
Dotplots
Stemplotshistogram
center
spread
shape skewness
outlier
ogive
FDT
Individualspercentile
Statistical toolsDescribing 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.