1. Frequency Distribution Table
Relative, cumulative: frequency

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

3. 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.

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

5. Age of US presidents at their respective inauguration

6. 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

7. 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

8. 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.

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

10. 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

11. 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

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

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

14. 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.