Transcript Collect, display, and analyze data to solve problems.

STATISTICS AND PROBABILITY:
DATA ANALYSIS
Grade 2–12
General Outcome:
Collect, display, and analyze data to
solve problems.
Goran, Wendy, Grace, Joshua
Grades 2 and 3
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Gather and record data
about self and others to
answer questions
Organize data using
objects, tallies, check
marks or lists.
Construct and interpret
concrete pictographs
and graphs (bar graphs
start in gr.3)
Grades 4 and 5
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One-to-one and many-to-one correspondence graphs
• Differentiate between
first-hand and secondhand data
• Double bar graphs
attributes (title, axes,
intervals, and legend)
Grade 6
Line graphs and double graphs:
•Create from data, interpret, and
draw conclusions
Sample question:
In 2002, did New
Hamburg or Briggs
Corner have fewer
home sales?
Grade 6
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Select methods of collecting data
(questionnaires, experiments,
databases, electronic media…)
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Graph data and analyze graphs to solve problems
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Draw histograms
Sample question:
How many people
waited between 51
and 61 minutes?
Grade 7
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Measures of range and central tendency (mean,
median, mode)
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Determine for given set of data
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Effect of outliers
Sample question:
What is the median
number of houses in
each town?
Grade 7
• Construct, label, and
interpret circle graphs:
• Translate graph angle
quantities into percentages
• Stem-and-leaf plots
Grade 8
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Critique and compare ways data is presented
Same data presented by different types of graphs:
circle graphs, line graphs, bar graphs, double bar
graphs, and pictographs
Advantages and
disadvantages of different
graphs for presenting
specific set of data
Sample Q: Would you use a
bar graph, pictograph, double
bar graph, or circle graph to
show number of boys and girls
per grade?
Grade 8
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Misconceptions/misinterpretations from graph
formatting
Conclusions about inconsistency with a given
data set or graph, and the misinterpretation
Grade 9
• Describe factors that affect data collection:
• bias, language, ethics, cost, time and timing,
privacy, cultural sensitivity
Sample Question:
Sofie read 7 randomly chosen books from each
library in her city. Each library is the same size. Is
this sample of the city's books likely to be biased?
Grade 9
• Describe factors that affect data collection:
• Bias, language, time and timing…
• Select and defend the choice of using either a
population (census) or a sample of a population
(sample) to answer a question
• Understand and choose an appropriate sample:
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Simple random sampling, cluster sampling…
Sample Question:
Winnipeg’s city council wants to find out if its
residents are satisfied with the garbage removal
service. Should a sample or census be used to
collect the data? Explain why.
Grade 9
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Develop and implement a project plan for the
collection, display, and analysis of data
(1) Prepare a question.
(2) Identify the population and choose a sample.
(3) Collect the data.
(4) Analyze and display the data.
(5) Evaluate your plan.
Sample Question:
Design a survey to find out the favourite radio station
of students in your school.
Grade 10
No data analysis in Grade 10
•Foundation
•Pre-Calculus
•A & W
Foundation of Mathematics 11
• Normal distribution, including:
• standard deviation (σ)
• z-scores.
Foundation of Mathematics 11
Standard Deviation (σ):
(how much variation or
"dispersion" )
Foundation of Mathematics 11
Sample question:
The mean height of the
high school basketball
players is 181 cm, and
the standard deviation
is 6 cm. What percent
of players is between
169 cm and 175 cm?
Foundation of Mathematics 11
• Z-scores : Standard scores
raw score to be
standardized
standard deviation
population
mean
Foundation of mathematics 11
• Z-score table
Foundation of Mathematics 11
• They also learn how to
use TI84 for statistics.
Foundation of Mathematics 11
• Students can interpret statistical data, using:
• confidence intervals
• confidence levels
• margin of error.
A & W Maths 11
Creating and Interpreting Graphs
Histograms
Bar Graphs
Line Graphs Circle Graphs
Sample problem:
If there are 150
restaurant accidents
per year in Kelowna,
how many of them
would you expect to
be burns and
scalds?
A & W Maths 11
Creating and Interpreting Graphs
Histograms
Bar Graphs
Line Graphs Circle Graphs
Connection:
Also working with
linear equations
this year
A & W Maths 12
Analysing Central Tendency
Mean
Median
Mode
Weighted Mean
Trimmed Mean
Percentiles
Overview of Pathways
Gr. 6–7
Gr. 8
collecting
mean…
data
vs
Gr. 9
sampling
Gr. 10
σ,
z-score…
Gr. 11
Gr. 12
weighted mean,
percentiles…
A&W
Foundations
Remediation for
HUGE hole in Grade 10
Teach quartiles, inter-quartile range in Grade 10
Remediation for
HUGE hole in Grade 10
Overview of Pathways
Gr. 6–7
Gr. 8
collecting
mean…
data
vs
Gr. 9
sampling
Gr. 10
σ,
z-score…
Gr. 11
Gr. 12
weighted mean,
percentiles…
A&W
Foundations