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Master Mean: Key Concepts and Calculations Explained

CC.HSS.CP.A.2

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Probability of independent events

Multiplication rule for 

Multiplication rule for "AND"

Multiplication Rule for "AND"

CC.HSS.CP.A.3

Conditional probability

CC.HSS.CP.A.5

Comparing experimental and theoretical probability

comparing experimental and theoretical probability

CC.HSS.CP.B.7

Addition rule for 

Addition Rule for "OR"

Addition rule for "OR"

CC.HSS.CP.B.9

Permutations

Combinations

Probability involving permutations and combinations

CC.HSS.IC.A.1

Sampling methods

Sampling Methods

CC.HSS.IC.A.2

Sampling distributions

Understanding Proportions and Sample Size

Rare event rule

The Rare Event Rule for the Central Limit Theorem

CC.HSS.IC.B.3

Census and bias

Census and Bias

Classifying Bias

CC.HSS.IC.B.4

Margin of error

Margin of Error

Making a confidence interval

Confidence intervals to estimate population mean

CC.HSS.IC.B.5

Traditional hypothesis testing

Traditional Mean Hypothesis Testing

P-value hypothesis testing

Proportion Hypothesis Testing

Analysis of variance (ANOVA)

CC.HSS.IC.B.6

Influencing factors in data collection

CC.HSS.ID.A.1

Frequency distribution and histograms

Equation of the best fit line

The determinant of a 2 x 2 matrix

CC.HSS.ID.A.2

Median and mode

Median and Mode Table

Median and Mode – Word Problem

Median of an even length list

Median of an odd length list

Mean

Mean Word Problems

Find the Mean

Application of Means

Range and outliers

Range and Outlier Word Problems

Outlier Word Problems

Range Word Problems

Find the Range

Center of a data set: mean, median, mode

Spread of a data set - standard deviation & variance

CC.HSS.ID.A.3

Application of averages

Measures of Central Tendency — Word Problem

Find the Means — Data Tables

Find Mean and Mode — Data Table

Identify Outliers — Data Table

Shapes of distributions

CC.HSS.ID.A.4

Introduction to normal distribution

The Normal Distribution and the 68-95-99.7 Rule

Using "invNorm" to Solve Normal Distribution Problems

Normal distribution and continuous random variable

Z-scores and random continuous variables

CC.HSS.ID.B.5

Reading and drawing Venn diagrams

Probability with Venn diagrams

CC.HSS.ID.B.6

Reading and drawing line graphs

Reading Line Graphs

Bivariate, scatter plots and correlation

CC.HSS.MD.A.1

Probability distribution - histogram, mean, variance & standard deviation

CC.HSS.MD.A.2

Properties of expectation

Properties of Expectation and Variance

Properties of Expectation

CC.HSS.MD.A.3

Binomial distribution

Binomial Distribution

Mean and standard deviation of binomial distribution

Interpreting Mean and Standard Deviation of Binomial

CC.HSS.MD.B.7

Type 1 and type 2 errors

Type 1 and Type 2 Errors

Statistical Reasoning

math

Ex.1

Ex.2

Ex.3

Intro

In this section, we practice calculating the mean of a data set. You may think your math teacher is mean if she says you are average! The word mean is often used simultaneously with the word average. The mean is calculated by dividing the sum of a set of values by the number of values in the set. In this 
section, we use the mean of a data set to make predictions about the data. In this section, we are first given sets of data and asked to calculate the mean of each set. Then, we are given word problems and asked to make predictions about given sets of data, using what we know about the mean. For example, we are asked to determine how a given set of data would need to change in order to alter the mean by a specified amount. 

What is the mean in statistics?

Divisibility rules

Determining common multiples

Introduction to Exponents