14.1 Statistics and Line 14.1 Statistics and Line PlotsPlots

CORD MathCORD Math

Mrs. SpitzMrs. Spitz

Spring 2007Spring 2007

ObjectivesObjectives

interpret numerical data from a table, andinterpret numerical data from a table, anddisplay and interpret statistical data on a display and interpret statistical data on a

line plot.line plot.

AssignmentAssignment

pp. 562-564 # 4-17pp. 562-564 # 4-17

Fuel EconomyFuel Economy

Fuel Fuel EconomyEconomy

Model AModel A Model BModel B Model CModel C

EPA estimate EPA estimate city/highwaycity/highway

19/2919/29 18/2618/26 19/2419/24

195 mile trip195 mile trip 2929 2727 2525

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?

DefinitionsDefinitions

data – numerical information necessary to data – numerical information necessary to make decisions in the world around you.make decisions in the world around you.

Statistics – helps with methods for Statistics – helps with methods for collecting, organizing, and interpreting collecting, organizing, and interpreting datadata

data analysis – The study of statistics data analysis – The study of statistics sometimes referred to as this.sometimes referred to as this.

tables are sometimes referred to as chartstables are sometimes referred to as charts

Ex.1: Use the chart to answer each Ex.1: Use the chart to answer each question.question.

FamilyFamily Hourly WageHourly Wage

AA $8.00$8.00

BB $10.50$10.50

CC $20.25$20.25

DD $9.40$9.40

EE $11.00$11.00

FF $13.75$13.75

GG $8.50$8.50

HH $10.50$10.50

II $9.00$9.00

JJ $11.00$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 Ex.2: Use the chart to answer each question.question.

FamilyFamily Hourly WageHourly Wage

AA $8.00$8.00

BB $10.50$10.50

CC $20.25$20.25

DD $9.40$9.40

EE $11.00$11.00

FF $13.75$13.75

GG $8.50$8.50

HH $10.50$10.50

II $9.00$9.00

JJ $11.00$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?How else can data be displayed? In some instances, statistical data can be In some instances, statistical data can be

presented on a number line. Numerical presented on a number line. Numerical information displayed on a number line is information displayed on a number line is called a line plot. For example, the data in the called a line plot. For example, the data in the table above can be presented in a line plot. table above can be presented in a line plot.

From example 1, you know that the data in the From example 1, you know that the data in the chart range from $8.00 per hour to $20.25 per hour. chart range from $8.00 per hour to $20.25 per hour.

How else can data be displayed?How else can data be displayed? In order to represent each hourly wage on a In order to represent each hourly wage on a

number line, the scale used must include these number line, the scale used must include these values. A “w” is used to represent each hourly values. A “w” is used to represent each hourly wage. wage.

When more than one “w” has the same location on When more than one “w” has the same location on the number line, additional “w”s are placed one the number line, additional “w”s are placed one above the other. A line plot for the hour wages is above the other. A line plot for the hour wages is shown below. shown below.

w w

w w w w w w w w

8 9 10 11 12 13 14 15 16 17 18 19 20 21

w

Ex. 3: The number of passengers arriving at and departing Ex. 3: The number of passengers arriving at and departing from the ten busiest airports in the US for a one-year period from the ten busiest airports in the US for a one-year period

are listed below.are listed below.

AirportAirport PassengersPassengers AirportAirport PassengersPassengers

Chicago Chicago (O’Hare)(O’Hare)

59,130,00759,130,007 San FranciscoSan Francisco 29,939,83529,939,835

Dallas/Ft.WorthDallas/Ft.Worth 47,579,04647,579,046 DenverDenver 27,568,0327,568,03

Los AngelesLos Angeles 44,967,22144,967,221 MiamiMiami 23,385,01023,385,010

AtlantaAtlanta 43,312,28543,312,285 New York (LGA)New York (LGA) 23,158,31723,158,317

New York (JFK)New York (JFK) 30,323,07730,323,077 HonoluluHonolulu 22,617,34022,617,340

Task 1: Make a line plot of the Task 1: Make a line plot of the data.data.

The numbers in the table are too large to The numbers in the table are too large to represent easily on a number line. represent easily on a number line. Change each number to represent Change each number to represent 1,000,000 passengers arriving and 1,000,000 passengers arriving and departing and round to the nearest whole departing and round to the nearest whole number. For example, since 59,130,007 = number. For example, since 59,130,007 = 59.1300007x1,000,000; you would plot an 59.1300007x1,000,000; you would plot an “x” at 59 to represent O’Hare. “x” at 59 to represent O’Hare.

Line PlotLine Plot

20 604030 50

x

x

x

x

x x x x x x

Ex. 4: Determine how many airports had approximately Ex. 4: Determine how many airports had approximately 25,000,000 passengers arrive and depart during the year.25,000,000 passengers arrive and depart during the year.

AirportAirport PassengersPassengers AirportAirport PassengersPassengers

Chicago Chicago (O’Hare)(O’Hare)

59,130,00759,130,007 San San FranciscoFrancisco

29,939,83529,939,835

Dallas/Ft.WorthDallas/Ft.Worth 47,579,04647,579,046 DenverDenver 27,568,0327,568,03

Los AngelesLos Angeles 44,967,22144,967,221 MiamiMiami 23,385,01023,385,010

AtlantaAtlanta 43,312,28543,312,285 New York New York (LGA)(LGA)

23,158,31723,158,317

New York New York (JFK)(JFK)

30,323,07730,323,077 HonoluluHonolulu 22,617,34022,617,340X

X

X

X

Ex. 5: Determine if any airport had a much greater number Ex. 5: Determine if any airport had a much greater number of passengers arrive and depart than any other airports.of passengers arrive and depart than any other airports.

AirportAirport PassengersPassengers AirportAirport PassengersPassengers

Chicago Chicago (O’Hare)(O’Hare)

59,130,00759,130,007 San San FranciscoFrancisco

29,939,83529,939,835

Dallas/Ft.WorthDallas/Ft.Worth 47,579,04647,579,046 DenverDenver 27,568,0327,568,03

Los AngelesLos Angeles 44,967,22144,967,221 MiamiMiami 23,385,01023,385,010

AtlantaAtlanta 43,312,28543,312,285 New York New York (LGA)(LGA)

23,158,31723,158,317

New York New York (JFK)(JFK)

30,323,07730,323,077 HonoluluHonolulu 22,617,34022,617,340

X