Chapter 1: Exploring Data

Lesson 1: Tables and Graphs

Mrs. Parziale

Accident Types in the US 1970 1980 1990

Motor Vehicles 54.6 53.2 46.8

Falls 16.9 13.3 12.3

Drowning 6.4 6.0 4.0

Fires and Flames 6.7 5.8 4.2

Medical Procedures 3.6 2.4 2.7

Drugs and medicines 2.5 2.5 4.5

OTHER 11.3 16.8

1. How many people died in motor vehicle accidents in 1970 and 1990?

2. What could account for the decrease in motor vehicle deaths?

3. Over the three years shown, how many people died as a result of medical procedures?

(Figures above represent thousands)

Vocabulary

• Statistics – branch of mathematics dealing with the

________________, _____________________,

________________, and ____________________ of information

• Data – _______________and ________________ information

• Variable – a characteristic of a person or thing that can be

________________, _________________,

____________________, or ___________________

collection organizationanalysis interpretation

numerical categorical

classified countedordered measured

• Population – the set of all _________________

or __________ you want to study; the whole

• Sample – a __________ of the population that

is studied in an experiment

• Random – every member in the population has

an _________ chance of being chosen

(Note that random does not mean it is haphazard.)

individuals

objects

subset

equal

• bar graphs – appropriate when one variable is ____________ and one is ___________

• circle graph / pie chart – appropriate when the data presented as a _______ and its ______.

(good visual of part to total relationships)

numericalcategorical

whole

parts

Example 1:

In order to learn the TV habits of all students in a certain high school, those students entering the north door of the school between 7:15 and 7:30am are asked which TV programs they watched last night. Identify the

(a) Population(b) sample(c) variable

Example 1, cont.

A pastry inspector counts the number of raisins per cookie in 10 oatmeal raisin cookies in a batch of fresh out of the oven. Identify the

(a) Population

(b) sample

(c) variable

Percentage of house taken up by

bedrooms is

gives the percentage of the whole circle in the graph

Example 2:

• Total floor area of the house is 1500 ft2. The breakdown for each room is as follows:

Bedrooms……. 440 ft2

Bathrooms…… 80 ft2

Kitchen……….180 ft2

Living Room….300 ft2

Other………….500 ft2

Total square footage = _______

part

whole

44029.3%

1500

Find the percentage taken up by each of the other rooms.

Bathroom = _________ Kitchen = _________

Living Room = ____________ Other = ____________

Make a Circle GraphFind the degrees of the sector representing each room.

Bedroom = ___________ Bathroom = _________ Kitchen = _________

Living Room = ____________ Other = ____________

bedroom

29%

bathroom

5%

living room

20%

kitchen

12%

other

34%bedroom

bathroom

living room

kitchen

other

Finding the number of degrees for each sector:

360

part degrees

whole

105.6°

72° 120°

19.2° 43.2°

Example 3:Given the bar graph below detailing the number of women who participated in each varsity sport at The College of New Jersey last year.• Which sport(s) had the most participants?

• Out of 146 women who participated in varsity sports, how much more likely was a woman to compete on the swim team than on the tennis team?

• Identify the population, the sample, and the variable in this chart.

0

5

10

15

20

25

30

Closure

• What is the difference between a sample and a population?

• When is it appropriate to use a bar graph?• When is it appropriate to use a circle graph?• The collection, organization, analysis, and

interpretation of information is what branch of mathematics?

• How do you find the number of degrees in a sector of a circle graph?