MIDDLE GROUND -- statistics, mean, mode, median, standard deviation

$[tutorials & resource material arranged by topic$ $Class Table$

MIDDLE GROUND

Welcome,

For a long page that's designed for someone with an 8th grade math background, heavy on vocabulary, light on computation, but no counting theory go to A Year of Statistics in an Hour or Two.

For just the vocabulary from "A Year of Statistics in an Hour or Two" go to Statistics Vocabulary.

For statistics resources stay on this page, MIDDLE GROUND, the statistics info page.

Computation Resources & Probability in Calc I

statsc.xls - a spread sheet that computes means, standard deviations,
z-scores, and probabilities, expected values

stat.xls - a spread sheet completed computes needed for hypothesis tests

ReimannSums.gsp - Reimann Sums & Boxes - See sheet "cum" for
p(a < x < b ) graphically and computationally.

prob4calc.htm - Probabilitity for Calc I - Area Under A Normal Curve,
Cumulative Probability, probability facts a calc I student should know

Counting

Tree Diagram Questions

Tree Diagram Answers

Deck of Cards 1 - Counting the Number of Ways An Event Can Occur

Deck of Cards 2 - Probabilities Based on Counting

Number of Ways to Make An Ordered List - Permutations

Number of Ways to Make A Group - Combinations

Basic Probability & Counting Problems - Formal definitions of event, sample space, permutations, combinations

Descriptive Statistics
A Statistic is a Description- average, center, range, standard deviation, spread, number line

The "Spread" Lab

The "General Shapes" Lab

Normal Distributions
Some Features of A Normal Distribution - bell curve, symmetry, mean-mode-median, distribution of scores, area in an interval, probabilities

Normal Distributions - area under the curve, traditional z-score & probability table, probability notation & problems

The Standard Normal Distribution - mean of 0, standard deviation of 1, z-score, x-score, interval and number line, probabilities in a interval

Answers to Normal Distribution Problems

Stanines - Standard Nine Intervals in Testing & Education, areas in the intervals, descriptive names for values in the intervals, probabilities, problems

6 Sigma - Six Sigma Standards and Ordinary Statistics, the method uses the statistics

Binomial Distributions
Brief Summary of A Binomial Distribution

Vocabulary

Facts

Count the Ways to Make An Ordered List Or A Group

The average is the sum of the products of the event and the probability of the event.

Binomial Distribution Explained More Slowly

Binomial Formula Explained

Combinations ComputeThe Number of Each Outcome in A Binomial Distribution

What's the Probability of Obtaining Exactly 3 Heads If A Fair Coin Is Tossed 4 Times?

Applications

Sum of the Probabilities and the Binomial Mean

The Sum of The Probabilities Is One.

The Expected Value Is The Mean.

The Mean, Expected Value, Is (n)(p).

Why the mean, expected value, is (n)(p)

Examples

Use the Normal to Compute the Binomial

Compute a Binomial on a Calculator

Testing
Confience Interval - range of expected values

Hypothesis Testing - make a judgement based on a statistically analyzed situation

HYPOTHESIS TESTS - different tests and their parameters
HYPOTHESIS TESTS pdf file
video about the HYPOTHESIS TESTS pdf file, yes, a video about a pdf file, filed with other videos

Fall 2009, Statistics I Labs
Freshman Math Lab 1 - Probability, Expected Value

Freshman Math Lab 2 - Measures of Center and Spread

Freshman Math Lab 3 - Normal Distribution Probabilities and Also A Circle Graph

Freshman Math Lab 4 - Write & answer a "between," a "below," & an "above" probability problem.

Freshman Math Lab 5 - Expected Value

Statistics Lab 3 - Boxplots, Inner Quartile Range

Statistics Lab 4 - Measures of Center and Spread

Statistics Lab 5 - Probability Problems

Fall 2012, Statistics I Labs

Lab 1 - "Middles"
Basic Vocabulary: data point, sample, population, parameter, frequency
The paramenters called Center: average, mean, mode, median (2nd quartile, 50th percentile), midrange.

Lab 2 - "Spreads and Positions in Ordered Data"
The parameters that measure Spreads: range, inner quartile range (IQR), standard deviation, variance
1st quartile (25th percentile, median of the lower 50% of all data),
2nd quartile (median, 50th percentile),
3rd quartile (75th percentile, median of the upper 50% of all data )
percentiles, z-scores, highest score, lowest score, outliers

Lab 3 - "Some Distribution Defined by Shape or Name"
uniform, skewed to the left, skewed to the right, binomial, bell-shaped, uniform, U-shaped, J-shaped, reverse J-shaped , normal, Chi-Squared

Vocabulary average data frequency mean median mode range stanine standard deviation z-score

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