Post on 12-Jan-2016
Warm up Find the mean, median and mode:
Create an example of a biased survey question and a non biased survey question.
8 5 7 6 8 2
6 86.5
Bar Graphs and Histograms
Bar Graph
Double Bar Graph
Histogram
Bar Graphs
A visual representation of data Require labels on the horizontal and
vertical axis Values go on vertical axis Use the range of values to determine
scale Items go on horizontal axis
Example
In the 1990’s, four space shuttles were used for various missions. The number of missions taken by each shuttle during this time are shown in the table. Create a Bar Graph to show your data.
Shuttle Missions
Atlantis 16
Columbia 18
Discovery 17
Endeavour 13
What shouldMy scale be?
Shuttle Missions
Atlantis 16
Columbia 18
Discovery 17
Endeavour 13
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2
4
6
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10
12
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16
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20
Atlantis Discovery
Missions
Shuttle
Missions
Using the chart How could we findThe mean number of Books read over the summer?
9 5 7 10 6 37
377.4
5
Double Bar Graph
Same as a single, except it compares two items.
Requires a key
This is a table showing the number of students who play a sport.
Sport Boys Girls
Soccer 10 9
Basketball 15 12
Track and field 8 10
Volleyball 5 16
What goes on the horizontal axis?
What goes on the vertical axis?
Create a rough sketch of this data in a double bar graph
Sport Boys Girls
Soccer 10 9
Basketball 15 12
Track and field
8 10
Volleyball 5 16
02
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Sports Students Like
Boys
Girls
Sport
# of students
Histogram
Different than bar graphs Used to show change in intervals
(1-5, 6-10, 11-15) Interval goes on the horizontal axis Must use equal intervals
Frequency Table
To help organize data and determine interval Look at data and choose intervals of equal
size that will cover all of the data. (look for the largest and smallest value and
make an educated judgement) Count the amount of numbers that fall into the
interval. That is your frequency.
Constructing a Frequency TableThe number of named stars in a group of 34 constellations are listed below. Make a frequency table of the data.
7, 5, 4, 10, 5, 7, 2, 6, 8, 1, 5, 1, 3, 1, 12, 11, 2, 11, 2, 5, 0, 6, 14, 8, 3, 1, 15, 10, 0, 2, 1, 15, 9, 1
What is the smallest and what is the largest number?
0 15The interval must be equal, what should use?
Interval Tally Frequency
0-3
7, 5, 4, 10, 5, 7, 2, 6, 8, 1, 5, 1, 3, 1, 12, 11, 2, 11, 2, 5, 0, 6, 14, 8, 3, 1, 15, 10, 0, 2, 1, 15, 9, 1
Interval Tally Frequency
0-3
4-7
8-11
12-15
7, 5, 4, 10, 5, 7, 2, 6, 8, 1, 5, 1, 3, 1, 12, 11, 2, 11, 2, 5, 0, 6, 14, 8, 3, 1, 15, 10, 0, 2, 1, 15, 9, 1
Interval Tally Frequency
0-3
4-7
8-11
12-15
7, 5, 4, 10, 5, 7, 2, 6, 8, 1, 5, 1, 3, 1, 12, 11, 2, 11, 2, 5, 0, 6, 14, 8, 3, 1, 15, 10, 0, 2, 1, 15, 9, 1
Interval Tally Frequency
0-3 14
4-7 9
8-11 7
12-15 4
7, 5, 4, 10, 5, 7, 2, 6, 8, 1, 5, 1, 3, 1, 12, 11, 2, 11, 2, 5, 0, 6, 14, 8, 3, 1, 15, 10, 0, 2, 1, 15, 9, 1
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
When do you use
A bar graph?
A double bar graph?
A histogram?
Closure
Using your data from the pizza survey create a bar graph, a double bar graph, and a histogram.
You may work with your partner but must create your own graphs with your own data.
Remember to use labels and keys
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations
Bar Graph
0
2
4
6
8
10
12
14
16
18
Atlantis Columbia Discovery Endeavor
Missions
Double Bar Graph
0
2
4
6
8
10
12
14
16
Soccer Basketball Track Volleyball
Boys
Girls
Sport
# of students
0
5
10
15
0-3 4-7 8-11 12-15
Number of Stars
Fre
quen
cy
Number of Stars in 34 Constellations