1. Common Core Math I Unit 1 Day 1 One-Variable Statistics

2. Two Main Uses of Statistics
TO DESCRIBE (Data Analysis) TO PREDICT (Statistical Inference)

3. Definitions Data: A collection of information in context.
Population: A set of individuals that we wish to describe and/or make predictions about.
Individual: Member of a population.
Variable: Characteristic recorded about each individual in a data set.

4. Types of Variables
Categorical Variable: A variable that records qualities or characteristics of an individual, such as gender or eye color.
Quantitative Variable: A variable that measures a characteristic of an individual, such as height, weight, or age.
In this unit, we will focus on quantitative data.

5. What type is it? Categorical Quantitative
Go over the Collect student data worksheet and discuss which type of variable each one is.

6. Categorical or Quantitative Data?
Birth month
Number of siblings
Height in inches
Average amount of time (in minutes) of your ride to school.
Number of pets
Year & model of the car you drive
Age of your youngest parent
Predicted letter grade of your first Math 1 test.

7. 1. Brand of vehicle purchased by a customer 2. Price of a CD 3
1. Brand of vehicle purchased by a customer 2. Price of a CD 3. Number of students in a class of 30 who prefer peanut M&Ms over plain M&Ms 4. Phone number of all the students enrolled in school. 5. The height of a 1 year old child. 6. Number of students in a class of 35 who turn in a term paper before the due date. 7. Gender of the next baby born at a particular hospital. 8. Amount of fluid (oz) dispensed by a machine used to fill bottles with soda. 9. Thickness of the gelatin coating of a Vitamin C capsule 10. Brand of computer purchased by a customer 11. State of birth for someone born in the United States. 12. Price of a textbook 13. The phone numbers of everyone in this class. 14. Actual weight of coffee in a one pound can. 15. The length of a rattlesnake.

8. Describing Data
Two ways to describe data:
Graphically
Numerically

9. Describing Data Graphically
Dotplot
Histogram
Boxplot

10. Describing Data Numerically
Measures of Center – mean, median
Measures of Spread – range, interquartile range, standard deviation

11. What is the typical value?
Measures of Center
What is the typical value?
Note: Students do NOT need to copy down these definitions at this point – more with these will come later in the unit.

12. Measures of Spread How much do values typically vary from the center?
Range
Interquartile Range (IQR)
Standard Deviation