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Identify and fix errors in data collection

Math 30-2: Master Advanced Algebra & Problem Solving

Rational Expressions

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Partial Fraction Decomposition

Partial fraction decomposition

Solving rational equations

Simplifying rational expressions and restrictions

Adding and subtracting rational expressions 

Adding and Subtracting Rational Expressions

Multiplying rational expressions

Multiplying Rational Expressions

Multiplying Rational Expressions in Factored Form

Dividing rational expressions

Dividing Rational Expressions

Dividing Rational Expressions in Factored Form

Applications of rational equations

Simplifying complex fractions

Polynomial Functions

Descartes&apos; rule of signs

Descartes' Rule of Signs

Descartes' rule of signs

Descartes" rule of signs

Polynomial long division

Polynomial synthetic division 

What is a polynomial function?

Polynomial functions

Recognizing a Polynomial Function

Remainder theorem

Finding the Remainder Using Synthetic Division and the Remainder Theorem

Factor theorem

Using the Factor Theorem to Test For Factors of a Polynomial

Rational zero theorem

Rational Zero Theorem

Characteristics of polynomial graphs

Determining the equation of a polynomial function

Applications of polynomial functions

Multiplicities of polynomials 

Imaginary zeros of polynomials

Solving polynomial inequalities

Fundamental theorem of algebra

Exponential Functions

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Product rule (a^x)(a^y) = a^(x+y)

Exponents: Division rule (a^x / a^y) = a^(x-y)

Exponents: Division rule: a^x / a^y = a^(x-y)

Exponents: Power rule (a^x)^y = a^(x * y)

Exponents: Power rule: (a^x)^y = a^(xy)

Exponents: Power rule

Exponents: Negative exponents

Exponents: Zero exponent: a^0 = 1

Exponents: Zero exponent: a^0 = 1

Exponents: Rational exponents

Graphing exponential functions

Graphing transformations of exponential functions

Finding an exponential function given its graph

Solving exponential equations using exponent rules

Logarithmic Functions

Solving logarithmic equations

What is a logarithm?

Logarithms and Exponential Growth

Understanding Logarithms through Exponential Growth

Understanding Logarithms

Converting from logarithmic form to exponential form

Evaluating logarithms without a calculator

Common logarithms

Natural log: ln

Evaluating logarithms using change-of-base formula

Converting from exponential form to logarithmic form

Solving exponential equations with logarithms

Product rule of logarithms

Quotient rule of logarithms

Combining product rule and quotient rule in logarithms

Evaluating logarithms using logarithm rules

Graphing logarithmic functions

Finding a logarithmic function given its graph

Applications of Exponential and Logarithmic Functions

Exponential growth and decay by a factor

Exponential decay: Half-life

Exponential growth and decay by percentage

Finance: Compound interest

Finance: Compound Interest

Continuous growth and decay

Logarithmic scale: Richter scale (earthquake)

Logarithmic scale: pH scale

Logarithmic scale: dB scale

Finance: Future value and present value

Data Collection

Influencing factors in data collection

Data collection

Introduction to probability

Permutations and Combinations

Fundamental counting principle

Fundamental Counting Principle Involving Restrictions

Factorial notation

Path counting problems

Permutations

Combinations

Problems involving both permutations and combinations

Pascal's triangle

Pascal's Triangle

Pascal"s Triangle

Pascal"s triangle

Binomial theorem

Permutation vs. Combination

Probability

Determining probabilities using tree diagrams and tables

Probability of independent events

Introduction to probability 

Identify the Probability — Word Problem

Compound Probability

Reading Probability Models

Addition rule for "OR"

Addition Rule for "OR"

Multiplication rule for "AND"

Multiplication Rule for "AND"

Conditional probability

Probability with permutations and combinations

Probability involving permutations and combinations

Probability with Venn diagrams

Scatter Plots and Best Fit Line

Bivariate, scatter plots and correlation 

Regression analysis

Equation of the best fit line

Reciprocal Functions

Graphing reciprocals of linear functions

Graphing reciprocals of quadratic functions

Math 30-2 (Alberta)

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Identifying bias in a survey question about dessert preferences

Evaluating a survey about school bathrooms for bias

- Hi, welcome to this question right here. So we're trying to rewrite this question so that they don't have a bias. Okay? So that means there's a problem with the question itself already. We just have to figure it out. So the question here says, 
"What is your most favorite dessert?" We&apos;ve got A chocolate cake, B strawberry cake and C vanilla cake. Okay? 
Any problem with this question? The thing here is this, it's only asking you the most favorite dessert, okay? Now we don't see the following selections right here. When I ask you this question, "What's your most favorite dessert?" You're probably maybe thinking like, "Okay, I like jellos. I may like the chocolate cookies. I may like the yogurt." Then you see all the selections here, you'll be like, "Oh, what's going on?" I only have the chocolate cake, strawberry cake and vanilla cake to choose from. So that's kind of bias. You are leaded to just the cake. You're assuming that everybody likes the dessert cake. Okay? 
So that's not really fair. Okay? So what happen is, we want to eliminate that-- 
this part right here. The most favorite dessert, and then they're thinking-- the survey is thinking that or trying to lead you that it's the cake that you like the best. Okay? Because you maybe like something else but they're trying to lead you to the cake. Okay, so this is probably done by the cake company and turned it into a survey. So what happened is, what we can do is this. We're going to change the question to something like, "Which of the following cake you like the most?" This is more reasonable. It kind of puts your own preference away and actually puts yourself in another perspective that okay, we&apos;ve got a list of cakes here for you. Okay? You don't have your own preference. These are the cakes for you and you're just going to pick something you like the most. Okay? 
So what happened here is, that if you read it again it says, "Which of the following cake you'll like the most?" We&apos;ve got a chocolate cake, strawberry cake and vanilla cake. So right now you just-- 
When you jump into this part here, you'll know that you're picking the cakes. Just the cakes, and you're picking the one that you'd like the most. Whereas the first one, it kind of leads you to the problem where you're actually-- They're trying to lead you that, assuming that everybody likes the cake. Okay? So that's not a good part right here. So the most favorite dessert right here, this dessert part should change to, give you a list of cakes right here. Okay? This is a much better question comparing to the first one. Pretty tricky, but if you read it a couple of times you will see the difference. Okay? Thanks for watching.

Rewriting a biased dessert survey question to remove bias

Identifying cultural sensitivity bias in a Christmas survey question

Removing bias from a cafeteria pricing survey question

Rewriting a survey question to include all respondents

The results of researches are heavily affected by the process of data collection. However, the process is prone to errors. For example, biased and misleading survey questions, and leading survey questions can all affect the results greatly. In this lesson, we will learn how to identify and fix these errors.

Influencing factors on data collection

Influencing factors in Data Collection

Application of averages

Influencing factors in data collection

What You'll Learn

Identify bias and influencing factors in survey questions and data collection methods

Recognize culturally insensitive or assumption-based questions that skew results

Distinguish between neutral and leading questions in surveys

Rewrite biased questions to eliminate assumptions and provide fair answer choices

Evaluate questions for inclusivity and appropriate response scales

What You'll Practice

Analyzing survey questions for gender, cultural, or assumption-based bias

Rewriting leading questions to make them neutral and fair

Correcting questions with limited or biased answer choices

Identifying when to use rating scales instead of yes/no questions

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

6 Video lessons

Practice exercises

Skills

Bias Detection

Survey Design

Data Collection

Question Writing

Statistical Reasoning

Cultural Sensitivity