AP Statistics Chapter 2
The Five W’s Where- *Who-are the cases *What-are the variables ( gives information about each of the cases) *Why-helps us to decide which way to treat the variable When- Where- *hoW- can make the difference between insight and nonsense
Classification of Variables Categorical variables- indentify a category for each case. ( usually think about counts of cases that fall into each category) or a variable that names categories can by with numerals or words Quantitative variables- record measurements or amounts of something. Must have units or a variable in which the numbers act as numerical values
Vocabulary Context-The context ideally tells Who was measured, What was measured , How the data were collected, and the when and the why the study was performed. Data-Systematically recorded information, whether number or labels, together with its context.
Vocabulary Continued Data Table- An arrangement of data in which each row represents a case and each column represents a variable. Case- is an individual about whom or which we have data. Population- all cases we wish we knew about Sample-the cases we actually examine in seeking to understand the much larger population
Vocabulary Continued Variable- hold the information about the same characteristic for many cases. Units- a quantity or amount adopted as a standard measurement, such as dollars, hours or grams
Our data collection What are some of the things you learned about the class by inspecting our data?
Our data Student Gender Length height # letters states siblings political penny stat 1 F 3 1.25 7 10 M A 4 2 0.25 11 17 0.5 12 L K 8 14 5 15 21 9 16 C 13 0.75 0.125 25 18 0.65 19 6
Example 2 Consider the numbers 17, 21, 44, 76. Are those data?
Example 2 con’t 17, 21, 44, 76 Context is critical- they could be test score, ages in a golf foursome, or uniform numbers of the starting backfield on the football team. Our reaction changes
Example 3 What are the five W’s of the following data A consumer repots article on energy bars gave the name brand, flavor, price, number of calories, and grams of protein and fat. Who: What: When: Where: How : Why:
Example 3 con’t Categorical Variables: Quantitative Variables:
Example 4 A report on the Boston Marathon listed the runner’s gender, country, age, and time. Who: What: When: Where: How : Why:
Example 5 Con’t Categorical Variables: Quantitative Variables: