Common Core Math I Unit 2 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. Sample: A subset of the population that data is collected from. 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? CategoricalQuantitative

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.

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.

Describing Data Two ways to describe data: Graphically Numerically

Dotplot Histogram Boxplot Describing Data Graphically

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

Measures of Center What is the typical value?

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

Common Core Math I Unit 2 Day 2 Frequency Tables and Histograms

Link Up Frequency Distribution Table Histogram (by hand)

Describing Distributions Shape Center Spread Outliers

Shape Mound shaped & symmetrical Skewed left (extreme low values) Skewed right (extreme high values) Uniform

Center When describing a distribution at first, the center can be “eyeballed.” Remember, you are trying to answer the question: “What is the most typical value?”

Spread Range Remember, you are trying to answer the question: “ How much do values typically vary from the center?” BE SURE TO STATE EVERYTHING IN CONTEXT!!

NFL Rushing Statistics Group activity: Make a frequency distribution table for your assigned column of data. Draw the corresponding histogram on graph paper. Write a paragraph about your data that addresses shape, center, spread, and outliers.