Constructing Graphs Notes

Making Double Bar GraphsMaking Double Bar Graphs

3.3. Use different colors or designs Use different colors or designs for the different categories of for the different categories of the barsthe bars

4.4. Label the vertical axis and Label the vertical axis and give the graph a titlegive the graph a title

5.5. Make a key to show what each Make a key to show what each bar representsbar represents

Steps to constructing Steps to constructing graph:graph:

1.1. Choose a consistent scale and Choose a consistent scale and spacing for the y-axis (vertical spacing for the y-axis (vertical axis)axis)

2.2. Draw a pair of bars for each Draw a pair of bars for each group of data and label the group of data and label the bars. Use consistent spacing on bars. Use consistent spacing on the x-axis (horizontal axis)the x-axis (horizontal axis)The table shows the life The table shows the life

expectancies of people in three expectancies of people in three Countries. Make a double bar Countries. Make a double bar

graph of the data.graph of the data.

Country Male

Female

United States67 74

Mexico63 66

Canada65 70

How to Make a Circle GraphHow to Make a Circle Graph

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105

Sci-Fi 75

Sports 60

Biographies

45

Humor 15

TOTAL4.4. Find the percent of each Find the percent of each

book book (round to the nearest whole)(round to the nearest whole)

5.5. Find the angle Find the angle measurement by measurement by multiplying the percents by multiplying the percents by 3.6 3.6 (round angles to the nearest (round angles to the nearest degree)degree)

6.6. Then use your protractor to Then use your protractor to draw the central angles for draw the central angles for eacheach

1.1. Find the total number of Find the total number of students surveyed.students surveyed.

2.2. Compute the fraction for each Compute the fraction for each type of book.type of book.

3.3. Change each fraction to a Change each fraction to a decimal decimal (round to the nearest (round to the nearest hundredth)hundredth)

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105

Sci-Fi 75

Sports 60

Biographies

45

Humor 15

TOTAL 300

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105 105/300

Sci-Fi 75 75/300

Sports 60 60/300

Biographies

45 45/300

Humor 15 15/300

TOTAL 300 300/300

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105 105/300 .35

Sci-Fi 75 75/300 .25

Sports 60 60/300 .2

Biographies

45 45/300 .15

Humor 15 15/300 .05

TOTAL 300 300/300 1.0

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105 105/300 .35 35%

Sci-Fi 75 75/300 .25 25%

Sports 60 60/300 .2 20%

Biographies

45 45/300 .15 15%

Humor 15 15/300 .05 5%

TOTAL 300 300/300 1.0 100%

Book Type

Number of

Students

Fraction

Decimal Percentage

Angle Measureme

nt

Mysteries 105 105/300 .35 35% 126°

Sci-Fi 75 75/300 .25 25% 90°

Sports 60 60/300 .2 20% 72°

Biographies

45 45/300 .15 15% 54°

Humor 15 15/300 .05 5% 18°

TOTAL 300 300/300 1.0 100% 360°

How to Draw a Circle GraphHow to Draw a Circle Graph1.1. Use your protractor to draw a radius in the circle.Use your protractor to draw a radius in the circle.

2.2. Line the hole on your protractor up with the center Line the hole on your protractor up with the center point of the circle and line your radius up with the point of the circle and line your radius up with the zero degree mark on your protractor.zero degree mark on your protractor.

3.3. Then, count up from zero to the number of degrees Then, count up from zero to the number of degrees you need for your particular angle and mark it.you need for your particular angle and mark it.

4.4. Use your protractor as a straight-edge an connect the Use your protractor as a straight-edge an connect the center point to the mark you made.center point to the mark you made.

5.5. Congratulations– you just created your first angle! Congratulations– you just created your first angle! Repeat steps 2 – 4 for the other angles.Repeat steps 2 – 4 for the other angles.

6.6. Once all the sections are drawn, label each section Once all the sections are drawn, label each section with the name and percentage and be sure to title with the name and percentage and be sure to title your graph.your graph.

7.7. This video demonstrates how to make a circle graph - This video demonstrates how to make a circle graph - Watch

How to Draw a Circle GraphHow to Draw a Circle Graph

Making Line PlotsMaking Line Plots

3.3. Draw an ‘x’ above each Draw an ‘x’ above each number on the number number on the number line to represent each line to represent each number in your data setnumber in your data set

4.4. Be sure to title and Be sure to title and label your graphlabel your graph

Steps to constructing Steps to constructing graph:graph:

1.1. Order the data from least to Order the data from least to greatestgreatest

2.2. Construct a number line to Construct a number line to include the range of values. include the range of values.

• (Be sure your number line has (Be sure your number line has arrows)arrows)The table shows the number of hours Skipper spent each The table shows the number of hours Skipper spent each day bothering teachers in January. Make a line plot.day bothering teachers in January. Make a line plot. Hour Number of Days

1 3

2 8

3 4

4 5

5\

2

6 0

7 0

8 1

9 1

Making Box-and-Whisker PlotsMaking Box-and-Whisker Plots

4.4. Above the number line plot the Above the number line plot the point for each value in #2point for each value in #2

5.5. Draw a box from the lower to the Draw a box from the lower to the upper quartile. Inside the box upper quartile. Inside the box draw a vertical line through the draw a vertical line through the medianmedian

6.6. Draw the “whiskers” from the Draw the “whiskers” from the box to the least and greatest box to the least and greatest valuesvalues

7.7. Label number line and title Label number line and title graphgraph

Steps to constructing Steps to constructing graph:graph:

1.1. Order values from least to Order values from least to greatestgreatest

2.2. Find least, greatest value, Find least, greatest value, median, upper and lower median, upper and lower quartilesquartiles

3.3. If there are two medians If there are two medians find the average of those find the average of those two numberstwo numbersConstruct a Box-and-Whisker Plot of the data: Heights of Basketball players (inches)Construct a Box-and-Whisker Plot of the data: Heights of Basketball players (inches)

73, 67, 75, 81, 67, 75, 85, 6973, 67, 75, 81, 67, 75, 85, 69

Making Stem-and-Leaf PlotsMaking Stem-and-Leaf Plots

3.3. List the stems from List the stems from least to greatest.least to greatest.

4.4. List the leaves similarlyList the leaves similarly

5.5. Add key and title for Add key and title for graphgraph

Steps to constructing Steps to constructing graph:graph:

1.1. Order the data from least to Order the data from least to greatestgreatest

2.2. Look at range and determine Look at range and determine stems and leafs. stems and leafs.

• (Using ten digit for stem and one (Using ten digit for stem and one digit for leafs will work for most digit for leafs will work for most data)data)The table shows the The table shows the

number of Electoral number of Electoral votes for select states votes for select states in 2004. Make a stem-in 2004. Make a stem-

and-leaf plot.and-leaf plot.

States Electoral Votes

CA 55

GA 15

IN 11

MI 17

NY\

31

PA 21

NJ 15

IL 21

KY 8

NC 15

OH 20

TX 34