14.1 Statistics and Line Plots CORD Math Mrs. Spitz Spring 2007

Objectives interpret numerical data from a table, and interpret numerical data from a table, and display and interpret statistical data on a line plot. display and interpret statistical data on a line plot.

Assignment pp # 4-17 pp # 4-17

Fuel Economy Model A Model B Model C EPA estimate city/highway 19/2918/2619/ mile trip What factors would be important to you if you were buying a car? Which model gets the best fuel economy in the city? Which model gets the best fuel economy on the highway? Which has the lowest miles per gallon average for overall performance?

Definitions data – numerical information necessary to make decisions in the world around you. data – numerical information necessary to make decisions in the world around you. Statistics – helps with methods for collecting, organizing, and interpreting data Statistics – helps with methods for collecting, organizing, and interpreting data data analysis – The study of statistics sometimes referred to as this. data analysis – The study of statistics sometimes referred to as this. tables are sometimes referred to as charts tables are sometimes referred to as charts

Ex.1: Use the chart to answer each question. Family Hourly Wage A$8.00 B$10.50 C$20.25 D$9.40 E$11.00 F$13.75 G$8.50 H$10.50 I$9.00 J$11.00 What are the maximum and minimum hourly wages of the principal wage earner for the ten families? The principal wage earner in Family C makes $20.25 per hour. This is the maximum hourly wage of all the families. The principal wage earner in Family A makes $8.00 per hour. This is the minimum hourly wage of all the families.

Ex.2: Use the chart to answer each question. Family Hourly Wage A$8.00 B$10.50 C$20.25 D$9.40 E$11.00 F$13.75 G$8.50 H$10.50 I$9.00 J$11.00 What percent of the families have a principal wage earner that makes less than $10.00 per hour? The principal wage earners in Family A ($8.00), Family D ($9.40), Family G ($8.50), and Family I ($9.00) each make less than $10.00 per hour. Thus 4 out of 10 or 40% of the families have a principal wage earner that makes less than $10.00 per hour.

How else can data be displayed? In some instances, statistical data can be presented on a number line. Numerical information displayed on a number line is called a line plot. For example, the data in the table above can be presented in a line plot. From example 1, you know that the data in the chart range from $8.00 per hour to $20.25 per hour.

In order to represent each hourly wage on a number line, the scale used must include these values. A “w” is used to represent each hourly wage. When more than one “w” has the same location on the number line, additional “w”s are placed one above the other. A line plot for the hour wages is shown below. w

Ex. 3: The number of passengers arriving at and departing from the ten busiest airports in the US for a one-year period are listed below. AirportPassengersAirportPassengers Chicago (O’Hare) 59,130,007 San Francisco 29,939,835 Dallas/Ft.Worth47,579,046Denver27,568,03 Los Angeles 44,967,221Miami23,385,010 Atlanta43,312,285 New York (LGA) 23,158,317 New York (JFK) 30,323,077Honolulu22,617,340

Task 1: Make a line plot of the data. The numbers in the table are too large to represent easily on a number line. Change each number to represent 1,000,000 passengers arriving and departing and round to the nearest whole number. For example, since 59,130,007 = x1,000,000; you would plot an “x” at 59 to represent O’Hare.

Line Plot xxxxxx x x x

Ex. 4: Determine how many airports had approximately 25,000,000 passengers arrive and depart during the year. AirportPassengersAirportPassengers Chicago (O’Hare) 59,130,007 San Francisco 29,939,835 Dallas/Ft.Worth47,579,046Denver27,568,03 Los Angeles 44,967,221Miami23,385,010 Atlanta43,312,285 New York (LGA) 23,158,317 New York (JFK) 30,323,077Honolulu22,617,340 X X X X

Ex. 5: Determine if any airport had a much greater number of passengers arrive and depart than any other airports. AirportPassengersAirportPassengers Chicago (O’Hare) 59,130,007 San Francisco 29,939,835 Dallas/Ft.Worth47,579,046Denver27,568,03 Los Angeles 44,967,221Miami23,385,010 Atlanta43,312,285 New York (LGA) 23,158,317 New York (JFK) 30,323,077Honolulu22,617,340 X