Section 5.1 Displaying Data using Graphs

I) Bar, Circle, and Pictograph:

Data can be represented using a “Bar Graph” , “CircleGraph”, or a “Pictograph”

Different types of graphs is better for comparinginformation from certain scenarios

Circle Graph

Bar Graph

Comparing data fromdifferent categories

Best for comparingeach category inrelation to the whole100%

Best for displaying datathat can be easily countedwith symbols

Bar Graphs:

Bar graphs are used to compare counts from different groups

Ie: which player has the most points, which coffee is sold the most

The vertical axis should have a range that includes all the counts

Usually you divide the vertical axis into increments that aremultiples of 10, 100, or 1000 OR something easy to count

The horizontal axis should include names of people or categoriesthat you are comparing

Ex: A group of students were asked which subject was their favourite.Use the graph to answer the following questions

English

P.E.

Math

Science

Social St.

French

a) How many students were surveyed?

b) What percentage of students prefer Math

c) Challenge: If the bar for Science disappeared, but you were told the that percentage ofstudents that chose P.E. was 20%, then how high is the Science bar?

Frequency

students

II) Pie Charts

Show the relationship of the parts to the whole by visually comparingthe sizes of each section

The area of each sector is a percentage

The accumulation of all the sectors is 100% (1 whole)

Note: All the categories must add to a “whole”

The count is usually not given

The pie chart below provides information on which music genre ismost popular amongst radio listeners from ages 20 to 45. Based onthe chart, which statement is true?

a)Country and Religious music are Played on

the radio more often than Rock and Oldies

b) Spanish Music is more popular than Country

Music

c) Country music is better than Rock

d) Most adult listeners prefer the news than Rock music

e) More than half of adults listeners prefer either Country, Religious orAdult contemporary music

The answer is:

Practice: Jason is a manager at Starbucks. The following graphsshow the daily sales in his coffee shop. Analyze the graph andanswer the following questions:

Which coffee is the most

popular?

Which type of coffee sold theleast cups of coffee?

How many times more cupsof House Blend was soldthan Expressos

The following graph represents the same information. Use thegraph to answer the following questions.

Starbucks Coffee (850 cups)

What percentage of the coffee sold wereHouse Blend?

What is the top three coffee sold atStarbucks?

Looking at this graph, how many cups ofDark Roast is sold daily?

How many cups does one picturerepresent?

Using only the pictograph, howmany more cups of Dark Roast thanMochas were sold?

How many cups of Light Note,Expresso, and Cappucinos were soldaltogether?

Which Graph is more Useful?

To determine which graph is more useful, we need tolook at the context of the question

Ex: The principal wants to create a program to counter attackunexcused absences in school. According to the graphs provided,which grade level should he/she focus on?