Algebra 1 section of MathBitsNotebook.com

 Statistics: Data Distributions

You are already familiar with many topics in the study of statistics.
In this unit, we will embellish some of those Refresher topics (+) and introduce new lesson concepts.

indicates compatibility to NY Next Generation Math Standards (NGMS)
Note: "mode" and "population" standard deviation are not the focus in NGMS.
Introduction to Statistics (including 4-step Statistical Process)
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Sigma Notation (new notation needed in statistical formulas)

Data:
Categorizing Data (Refresher+: quantitative, qualitative, univariate, bivariate)
Gathering Statistical Data (collecting data, random sampling, sample and populations data)
Biased Data (avoiding bias, recognizing valid data)
Distribution of Statistical Data (center, spread, quartiles, IQR, outliers, SD, shape)

Examining Distribution of Data:
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Measures of Central Tendency (Refresher+: mean, mode, median, pros, cons, outliers)
Measures of Center (mean, median, balance point, when to use what)

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Measures of Spread (range, IQR, variance, standard deviation, which is best)
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Variance (definition, problem, population/sample data formulas

Standard Deviation (definition, normal curve, thinking about SD)
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Calculating Standard Deviation (calculator use, formulas, by-hand)

Graphical Displays of Data:
Dot Plots (Refresher+: plotting info, example, pros, cons)
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Histograms (Refresher+: compare to bar graphs, types, scaling, pros, cons)
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Box Plots (Refresher+: box plots, five stat summary, w/outliers, shapes/skewed)
Representing Data Graphically (Refresher: compare hist, dot, box plots same data set)
Shapes of Distributions (peaks, shapes of histograms, dot plots, box plots)
Comparing Statistical Graphs

 PRACTICE: • Practice Categorizing Data (qualitative, quantitative, univariate, bivariate, biased, unbiased) • Practice with Box Plots • Practice with Outliers • Practice with Measures of Center & Shapes of Distributions • Practice with Standard Deviation • Practice Interpreting Graphs (interpret and compare histograms, dot plots, box plots)