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What we will cover….
What is Statistics?
Where does Statistics fit into the Common Core
Mean, Median, Mode, & Median Absolute Deviation
What is Probability?
Where does Probability fit into the Common Core
Basic Probability and Simulation
TinkerPlots and the Common Core
What is Statistics?
Statistics is the scientific application
of mathematical principles to the
collection, analysis, and presentation
of numerical data. (AMS.org)
Where does Statistics fit
into the Common Core
6.SP Statistics and Probability
1. Develop
understanding of statistical variability.
Recognize a statistical question as one that anticipates variability in the
data related to the question and accounts for it in the answers.
Understand that a set of data collected to answer a statistical question
has a distribution which can be described by its center, spread, and
overall shape.
Recognize that a measure of center for a numerical data set summarizes
all of its values with a single number, while a measure of variation
describes how its values vary with a single number.
Where does Statistics fit
into the Common Core
6.SP Statistics and Probability
2. Summarize and describe distributions.
Display numerical data in plots on a number line, including
dot plots, histograms, and box plots.
Summarize numerical data sets in relation to their context.
Where does Statistics fit
into the Common Core
7.SP Statistics and Probability
1. Random sampling to draw inferences about a population.
Understand that statistics can be used to gain information
about a population by examining a sample of the
population; generalizations about a population from a
sample are valid only if the sample is representative of
that population. Understand that random sampling tends
to produce representative samples and support valid
inferences
Where does Statistics fit
into the Common Core
7.SP Statistics and Probability
2. Draw informal comparative inferences about two
populations.
Use measures of center and measures of variability for
numerical data from random samples to draw informal
comparative inferences about two populations.
Mean, Median, Mode, &
Median Absolute Deviation
Know as “Measures of Central Tendency” which
summarize a collection of data.
Mean know as “Average” which is calculated by
summing all values, then dividing by the number
of values.
Mean sensitive to extreme values.
Median is the middle value when observations
are ordered from smallest to largest.
Mean, Median, Mode, &
Median Absolute Deviation
Median divides the dataset into two parts of
equal size, with 50% of the values below the
median and 50% of the values above the median.
Median is insensitive to extreme values.
Mode is the value in the set that occurs most
often.
Mean, Median, Mode, &
Median Absolute Deviation
Median Absolute Deviation aka M.A.D. is a simple
way to quantify variation. Half the values are
closer to the median than the MAD, and half are
further away.
M.A.D. how it is calculated.
What is Probability?
Probability
is the measure of how
likely an event is to
occur.
Where does Probability fit
into the Common Core
7.SP Statistics and Probability
1. Investigate chance processes and develop, use, and evaluate
Understand that the probability of a chance event is a number
between 0 and 1 that expresses the likelihood of the event
occurring. Larger numbers indicate greater likelihood. A
probability near 0 indicates an unlikely event, a probability
around 1/2 indicates an event that is neither unlikely nor likely,
and a probability near 1 indicates a likely event.
Basic Probability and
Simulation
Calculation of Basic Probability
P(A) = The Number Of Ways Event A Can Occur
_______The total number Of Possible Outcomes
TinkerPlots and the
Common Core
TinkerPlots® motivates students to investigate
data and deepen their understanding of data
analysis. Students gain graphing skills and can
explore their graphs to identify common measures
such as the mean, median, mode, and more.
Create dot plots, pie charts, map graphs, histograms,
scatter plots, and their own original graphs from scratch
by ordering, stacking, and separating data icons
Automatically update every representation and
calculation as they drag, add, delete, or select the data
TinkerPlots and the
Common Core
Use reference lines, dividers, and a
drawing tool to intuitively analyze data
Add features, such as the mean or
median, or a box plot, and then draw on
the plot to find patterns and analyze the
data
TinkerPlots and the
Common Core
Design and run probability simulations with
the Sampler Engine
Download data from the Internet, copy it from a
spreadsheet, or enter it by hand
TinkerPlots Hands On…
Download all Data at
http://mathstarts.wikispaces.com
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