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Middle School Common Core Statistics

and Probability using TinkerPlots

What we will cover….What is Statistics?

Mean, Median, Mode, & Median Absolute Deviation

Where does Statistics fit into the Common Core

What is Probability?

Basic Probability and Simulation

Where does Probability fit into the Common Core

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.

(AMA.org)

Mean, Median, Mode, & Median Absolute DeviationKnow 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 DeviationMedian 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 DeviationMedian 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.

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.

What is Probability?

Probability

is the measure of how likely an event is to

occur.

Basic Probability and Simulation

Calculation of Basic Probability

P(A) =  The Number Of Ways Event A Can Occur _______The total number Of Possible Outcomes

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.

TinkerPlots and the Common CoreTinkerPlots® 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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