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

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

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.

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.

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

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 Age of your youngest parent Predicted letter grade of your first Math 1 test.

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. What do you think?

Describing Data Two ways to describe data: Graphically Numerically

Describing Data Graphically Dotplot Histogram Boxplot

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

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.

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