Data Analysis
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Data Analysis
Objective Students will identify claims based on statistical data and evaluate the validity of the claims. CA State Standard PS 6.2.5: Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims.
Purpose • Analyze data collected from the Port of Long Beach • Proficiency on CA State Standard PS 6.2.5 • CAHSEE prep • Tests and quizzes
One of the ways that the Port of Long Beach benefits the economy for the City of Long Beach is by providing jobs, both full- and parttime.
One of the ways that the Port of Long Beach benefits the economy for the City of Long Beach is by providing jobs, both full- and parttime. The Port uses statistics to study these economic impacts.
Statistics is the organization and analysis of data. The data can be stored in charts and displayed in different ways. We have studied the following: bar graph: circle graph: 90 80
Raw Materials
70 60 East West North
50 40 30 20 10
Overhead
Salaries
26%
42%
35 30 25
Number of imports
20 15 10 5 19 19 20 20 20 20 20 20 20 98 99 00 01 02 03 04 05 06
12%
20%
line graph:
1st Qtr 2nd Qtr 3rd Qtr 4th Qtr
Hundred thousands
0
Other
Years
Business Expenses
Studying graphs like these is a useful tool in estimating the economic impacts.
Using a circle graph, the Port of Long Beach displays the breakdown of the nearly 30,000 jobs, or roughly one out of every eight in the city, that it supports. According to the circle graph shown…
29,784 jobs at the Port of Long Beach 2001
Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A
3,036
B
18,407
C
21,443
D
29,784
How can one answer this question or ones that are similar?
Steps to analyze graphs: 29,784 jobs at the Port of Long Beach
• Look over the graph Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
Steps to analyze graphs • Look over the graph • Carefully read the question
29,784 jobs at the Port of Long Beach Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries?
Steps to analyze graphs • Look over the graph • Carefully read the question • Read each choice
29,784 jobs at the Port of Long Beach Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A 3,036 C 21,443 29,784
B 18,407 D
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers
Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A C
3,036 21,443
B D
18,407 29,784
Steps to analyze graphs • Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy
29,784 jobs at the Port of Long Beach Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
add the amounts together …approximately how many jobs in the Port are due to retail sales and port industries? A 3,036 B 18,407 C 21,443 D 29,784
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy
Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
add retail sales and industries …approximately how many jobs in the Port are due to retail sales and port industries? A C
3,036 21,443
B D
18,407 29,784
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy …approximately how many jobs in the • Select the correct Port are due to retail sales and port industries? answer Others
Retail Sales
3,079
3, 036
A C
Port user
Port Industries
5,262
18,407
3,036 21,443
B D
18,407 29,784
Explain to your neighbor
Why is “C” the best answer for this question?
Your turn Click here for steps
According to the circle graph showing the amount of wages/salaries, which of the following conclusions is true?
Others
$1.54 billion total wages/salaries at the Port of Long Beach
$143.4 million Retail Sales $69.2 million
A
Port industries created less than half of the wages/salaries at the Port.
B
Port users created more wages/salaries than the retail sales and others combined.
C
More wages/salaries came from others than Port users.
D
The Port ‘s wages/salaries totaled in the millions of dollars.
Port user $396.4 million
Port Industries $934.1 million
The Port of Long Beach collects data on the environment at the port.
Collecting air quality data
The Port of Long Beach collects data on the environment at the Port.
These statistics are used to organize and analyze its anti-pollution efforts.
The Port’s pollution control measures have been instrumental in reducing emissions from cargo-handling equipment. Cargo-handling Equipment Particulate Matter Pollution 160 140 Tons per Year
120 100 80 60 40 20 0 2002
2005
Using the same steps as before, answer the following question. Based on the bar graph to the right, which of the following conclusions is true? A
B
Particulate matter pollution decreased by less than 50 tons from 2002 to 2005. In 2002, 140 tons of particulate matter pollution was emitted by cargo-handling equipment.
C
Particulate matter pollution decreased by more than 50% from 2002 to 2005.
D
The region’s particulate matter pollution is increasing.
Cargo-handling Equipment Particulate Matter Pollution 160 140 120 Tons per Year
Click here for steps
100 80 60 40 20 0 2002
2005
Using the same steps, answer the following question. Based on the bar graph to the right, which of the following conclusions is true?
B
C
D
Particulate matter pollution decreased by less than 50 tons from 2002 to 2005. In 2002, 140 tons of particulate matter pollution was emitted by cargo-handling equipment. Particulate matter pollution decreased by more than 50% from 2002 to 2005. The region’s particulate matter pollution is increasing.
160 140 120 Tons per Year
A
Cargo-handling Equipment Particulate Matter Pollution
100 80 60 40 20 0 2002
2005
Check for Understanding On the count of three, point to the right if the following statement is true. Point to the left if it is false. When answering multiple questions about a graph, one needs to eliminate answers before thoroughly reading the question. Click for answer
Check for Understanding When answering multiple questions about a graph, one needs to eliminate answers before thoroughly reading the question.
Start by reading the question/statement.
Guided Practice For questions 1 – 4: • Answer each of the following questions in your notes • When prompted, check your answers with your neighbor • Be prepared to explain your answers to the class
1) Which of the following statements are true? (there may be more than one)
A
Dissolved oxygen concentration decreased between 1976 and 1980.
B
Harbor water quality dropped below the state minimum in 2003.
C
The line graph indicates water quality being consistently above state minimum standards.
D
1974 and 2005 had approximately the same oxygen concentration.
2) Which time period had the greatest reduction of airborne dust?
A C
Jan 00 to Dec 00 Jan 04 to Sep 04
B D
Dec 01 to Mar 02 Sept 02 to Dec 02
3) The Port monitors protected species of birds, including peregrine falcons, least terns, and blackcrowned night herons, that could be affected by its projects.
Using the graph above, determine whether the following statement is true or false: The average number of birds at the harbor has more than doubled since the 1970s.
4) In an effort to restore aquatic ecosystems, the Port monitors the number and diversity of fish species in the Long Beach harbor. Using the graph below, which statement is true?
A
Fish diversity has generally decreased from 1997 to 2004.
B
The number of fish species increased from 1980 to 1985.
C
There were 3 fish species observed per 5 minutes sampling time in 1993.
D
There were 5 fish species observed per 5 minutes sampling time in 2004.
Answers to Guided Practice
The following slides will provide the answers to questions 1 – 4.
1) Which of the following statements are true? (there may be more than one)
A
Dissolved oxygen concentration decreased between 1976 and 1980.
B
Harbor water quality dropped below the state minimum in 2003.
C
The line graph indicates water quality being consistently above state minimum standards.
D
1974 and 2005 had approximately the same oxygen concentration.
2) Which time period had the greatest reduction of airborne dust?
A C
Jan 00 to Dec 00 Jan 04 to Sep 04
B D
Dec 01 to Mar 02 Sept 02 to Dec 02
3) The Port monitors protected species of birds, including peregrine falcons, least terns, and blackcrowned night herons, that could be affected by their projects.
Using the graph above, determine whether the following statement is true or false: The average number of birds at the harbor has more than doubled since the 1970s.
4) In an effort to restore aquatic ecosystems, the Port monitors the number and diversity of fish species in the Long Beach harbor. Using the graph below, which statement is true?
A
Fish diversity has generally decreased from 1997 to 2004.
B
The number of fish species increased from 1980 to 1985.
C
There were 3 fish species observed per 5 minutes sampling time in 1993.
D
There were 5 fish species observed per 5 minutes sampling time in 2004.
Summary • In your notes, write a summary of how to read a graph and answer questions about it • Exchange papers with your neighbor • Add any statements to your summary that will help you to remember today’s lesson
End slide show
Steps to Analyze Graphs • • • • • •
Look over the graph Carefully read the question Read each choice Eliminate possible wrong answers Decide on a strategy Select the correct answer
Return to circle graph
Return to bar graph
Objective Students will identify claims based on statistical data and evaluate the validity of the claims. CA State Standard PS 6.2.5: Identify claims based on statistical data and, in simple cases, evaluate the validity of the claims.
Purpose • Analyze data collected from the Port of Long Beach • Proficiency on CA State Standard PS 6.2.5 • CAHSEE prep • Tests and quizzes
One of the ways that the Port of Long Beach benefits the economy for the City of Long Beach is by providing jobs, both full- and parttime.
One of the ways that the Port of Long Beach benefits the economy for the City of Long Beach is by providing jobs, both full- and parttime. The Port uses statistics to study these economic impacts.
Statistics is the organization and analysis of data. The data can be stored in charts and displayed in different ways. We have studied the following: bar graph: circle graph: 90 80
Raw Materials
70 60 East West North
50 40 30 20 10
Overhead
Salaries
26%
42%
35 30 25
Number of imports
20 15 10 5 19 19 20 20 20 20 20 20 20 98 99 00 01 02 03 04 05 06
12%
20%
line graph:
1st Qtr 2nd Qtr 3rd Qtr 4th Qtr
Hundred thousands
0
Other
Years
Business Expenses
Studying graphs like these is a useful tool in estimating the economic impacts.
Using a circle graph, the Port of Long Beach displays the breakdown of the nearly 30,000 jobs, or roughly one out of every eight in the city, that it supports. According to the circle graph shown…
29,784 jobs at the Port of Long Beach 2001
Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A
3,036
B
18,407
C
21,443
D
29,784
How can one answer this question or ones that are similar?
Steps to analyze graphs: 29,784 jobs at the Port of Long Beach
• Look over the graph Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
Steps to analyze graphs • Look over the graph • Carefully read the question
29,784 jobs at the Port of Long Beach Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries?
Steps to analyze graphs • Look over the graph • Carefully read the question • Read each choice
29,784 jobs at the Port of Long Beach Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A 3,036 C 21,443 29,784
B 18,407 D
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers
Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
…approximately how many jobs in the Port are due to retail sales and port industries? A C
3,036 21,443
B D
18,407 29,784
Steps to analyze graphs • Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy
29,784 jobs at the Port of Long Beach Retail Sales
Others 3,079
3, 036 Port user
Port Industries
5,262
18,407
add the amounts together …approximately how many jobs in the Port are due to retail sales and port industries? A 3,036 B 18,407 C 21,443 D 29,784
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy
Others
Retail Sales
3,079
3, 036 Port user
Port Industries
5,262
18,407
add retail sales and industries …approximately how many jobs in the Port are due to retail sales and port industries? A C
3,036 21,443
B D
18,407 29,784
Steps to analyze graphs 29,784 jobs at the Port of Long Beach
• Look over the graph • Carefully read the question • Read each choice • Eliminate possible wrong answers • Decide on a strategy …approximately how many jobs in the • Select the correct Port are due to retail sales and port industries? answer Others
Retail Sales
3,079
3, 036
A C
Port user
Port Industries
5,262
18,407
3,036 21,443
B D
18,407 29,784
Explain to your neighbor
Why is “C” the best answer for this question?
Your turn Click here for steps
According to the circle graph showing the amount of wages/salaries, which of the following conclusions is true?
Others
$1.54 billion total wages/salaries at the Port of Long Beach
$143.4 million Retail Sales $69.2 million
A
Port industries created less than half of the wages/salaries at the Port.
B
Port users created more wages/salaries than the retail sales and others combined.
C
More wages/salaries came from others than Port users.
D
The Port ‘s wages/salaries totaled in the millions of dollars.
Port user $396.4 million
Port Industries $934.1 million
The Port of Long Beach collects data on the environment at the port.
Collecting air quality data
The Port of Long Beach collects data on the environment at the Port.
These statistics are used to organize and analyze its anti-pollution efforts.
The Port’s pollution control measures have been instrumental in reducing emissions from cargo-handling equipment. Cargo-handling Equipment Particulate Matter Pollution 160 140 Tons per Year
120 100 80 60 40 20 0 2002
2005
Using the same steps as before, answer the following question. Based on the bar graph to the right, which of the following conclusions is true? A
B
Particulate matter pollution decreased by less than 50 tons from 2002 to 2005. In 2002, 140 tons of particulate matter pollution was emitted by cargo-handling equipment.
C
Particulate matter pollution decreased by more than 50% from 2002 to 2005.
D
The region’s particulate matter pollution is increasing.
Cargo-handling Equipment Particulate Matter Pollution 160 140 120 Tons per Year
Click here for steps
100 80 60 40 20 0 2002
2005
Using the same steps, answer the following question. Based on the bar graph to the right, which of the following conclusions is true?
B
C
D
Particulate matter pollution decreased by less than 50 tons from 2002 to 2005. In 2002, 140 tons of particulate matter pollution was emitted by cargo-handling equipment. Particulate matter pollution decreased by more than 50% from 2002 to 2005. The region’s particulate matter pollution is increasing.
160 140 120 Tons per Year
A
Cargo-handling Equipment Particulate Matter Pollution
100 80 60 40 20 0 2002
2005
Check for Understanding On the count of three, point to the right if the following statement is true. Point to the left if it is false. When answering multiple questions about a graph, one needs to eliminate answers before thoroughly reading the question. Click for answer
Check for Understanding When answering multiple questions about a graph, one needs to eliminate answers before thoroughly reading the question.
Start by reading the question/statement.
Guided Practice For questions 1 – 4: • Answer each of the following questions in your notes • When prompted, check your answers with your neighbor • Be prepared to explain your answers to the class
1) Which of the following statements are true? (there may be more than one)
A
Dissolved oxygen concentration decreased between 1976 and 1980.
B
Harbor water quality dropped below the state minimum in 2003.
C
The line graph indicates water quality being consistently above state minimum standards.
D
1974 and 2005 had approximately the same oxygen concentration.
2) Which time period had the greatest reduction of airborne dust?
A C
Jan 00 to Dec 00 Jan 04 to Sep 04
B D
Dec 01 to Mar 02 Sept 02 to Dec 02
3) The Port monitors protected species of birds, including peregrine falcons, least terns, and blackcrowned night herons, that could be affected by its projects.
Using the graph above, determine whether the following statement is true or false: The average number of birds at the harbor has more than doubled since the 1970s.
4) In an effort to restore aquatic ecosystems, the Port monitors the number and diversity of fish species in the Long Beach harbor. Using the graph below, which statement is true?
A
Fish diversity has generally decreased from 1997 to 2004.
B
The number of fish species increased from 1980 to 1985.
C
There were 3 fish species observed per 5 minutes sampling time in 1993.
D
There were 5 fish species observed per 5 minutes sampling time in 2004.
Answers to Guided Practice
The following slides will provide the answers to questions 1 – 4.
1) Which of the following statements are true? (there may be more than one)
A
Dissolved oxygen concentration decreased between 1976 and 1980.
B
Harbor water quality dropped below the state minimum in 2003.
C
The line graph indicates water quality being consistently above state minimum standards.
D
1974 and 2005 had approximately the same oxygen concentration.
2) Which time period had the greatest reduction of airborne dust?
A C
Jan 00 to Dec 00 Jan 04 to Sep 04
B D
Dec 01 to Mar 02 Sept 02 to Dec 02
3) The Port monitors protected species of birds, including peregrine falcons, least terns, and blackcrowned night herons, that could be affected by their projects.
Using the graph above, determine whether the following statement is true or false: The average number of birds at the harbor has more than doubled since the 1970s.
4) In an effort to restore aquatic ecosystems, the Port monitors the number and diversity of fish species in the Long Beach harbor. Using the graph below, which statement is true?
A
Fish diversity has generally decreased from 1997 to 2004.
B
The number of fish species increased from 1980 to 1985.
C
There were 3 fish species observed per 5 minutes sampling time in 1993.
D
There were 5 fish species observed per 5 minutes sampling time in 2004.
Summary • In your notes, write a summary of how to read a graph and answer questions about it • Exchange papers with your neighbor • Add any statements to your summary that will help you to remember today’s lesson
End slide show
Steps to Analyze Graphs • • • • • •
Look over the graph Carefully read the question Read each choice Eliminate possible wrong answers Decide on a strategy Select the correct answer
Return to circle graph
Return to bar graph
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