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Statistics Topics

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Graphing Data
Reading and drawing bar graphs
Reading and drawing histograms
Reading and drawing line graphs
Box-and-whisker plots and scatter plots
Reading and drawing Venn diagrams
Stem-and-leaf plots
Circle graphs
Frequency tables and dot plots
Advantages and disadvantages of different graphs
Misleading graphs
Critiquing data presentation
Frequency distribution and histograms
Frequency polygons
Shapes of distributions
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Designing Studies
Influencing factors in data collection
Data collection
Classification of data
Sampling methods
Census and bias
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Measures of Central Tendency
Median and mode
Mean
Range and outliers
Application of averages
Center of a data set: mean, median, mode
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Measures of Dispersion
Spread of a data set - standard deviation & variance
Measures of relative standing - z-score, quartiles, percentiles
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Discrete Probabilities
Probability distribution - histogram, mean, variance & standard deviation
Binomial distribution
Mean and standard deviation of binomial
Poisson distribution
Geometric distribution
Negative binomial distribution
Hypergeometric distribution
Properties of expectation
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Normal Distribution and Z-Scores
Introduction to normal distribution
Normal distribution and continuous random variable
Z-scores and random continuous variables
Sampling distributions
Central limit theorem
Rare event rule
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Confidence Intervals
Point estimates
Confidence levels and critical values
Margin of error
Making a confidence interval
Confidence intervals to estimate population mean
Student's t-distribution
Chi-Squared confidence intervals
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Bivariate Data
Scatter plots and Correlations
Regression analysis
Equation of the best fit line
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Permutations and Combinations
Fundamental counting principle
Factorial notation
Path counting problems
Permutation vs. Combination
Permutations
Combinations
Problems involving both permutations and combinations
Probability with permutations and combinations
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Probability
Introduction to probability
Organizing outcomes
Probability of independent events
Comparing experimental and theoretical probability
Determining probabilities using tree diagrams and tables
Probability of independent events
Probability
Addition rule for "OR"
Multiplication rule for "AND"
Conditional probability
Laws of total probability
Bayes' rule
Probability with Venn diagrams
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Hypothesis Testing
Null hypothesis and alternative hypothesis
Proving claims
Confidence levels, significance levels and critical values
Test statistics
Traditional hypothesis testing
P-value hypothesis testing
Mean hypothesis testing with t-distribution
Type 1 and type 2 errors
Chi-Squared hypothesis testing
Analysis of variance (ANOVA)
Chi-square goodness of fit test
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What is statistics?

Statistics – a word so pervasive and colloquially thrown around in the real world some question "Is statistics math?" Well, we hate to break it to you, but according to Wikipedia, Statistics is defined as the "a branch of mathematics dealing with the collection, analysis, interpretation, presentation, and organization of data". While certainly a specialized branch of math, statistics does fall under the discipline of math. In academia, students are most likely to encounter the study of probability and statistics in conjunction with one another. Probability is generally defined as the likelihood something will occur. You have probably heard these terms used interchangeably such as in a seemingly witty sentence beginning with "Statistically speaking the chances of … are …". In math, we assign probability a value between 0 to 1 (i.e. 0% to 100%), where 0 represents impossibility while the value of 1 represents absolute certainty.

What some may find even more surprising is how the study of probability and statistics is actually very interdisciplinary in nature. Most commonly, probability and statistics for engineering and sciences are hot topics in tertiary education that spans the likes of kinesiology, psychology, sociology, life sciences, medicine, and the many types of engineering. Nowadays, stats courses are even catered specifically for the program of study, such as business statistics or statistics for psychology or nursing.

In statistics, the broad objective is data analysis, to achieve the desired outcome of a statistic(s). Typically this may involve the use of an ANOVA, chi-square test, linear regression, and so forth. To analyse data, this requires knowledge of statistics math and probability math. Now armed with the statistic(s) result(s), data can now be interpreted. Unlike most other branches of math however, this final step often involves less math and more writing (good news at last?!). In this day and age, tertiary education has also begun merging the study of statistics with computer science where data is now processed and analysed through computer programming languages/software.

Is statistics hard?

Like most things in life, statistics is hard – but not impossible! Here at StudyPug, we offer all the stats help you require. We understand that some of you already feel stuck even though you are just beginning with basic statistics or perhaps you want to learn statistics but feel defeated or demotivated already – we get it. Do not stop there, while you feel tempted to look up all the AP stats book answers, zone out, or give up trying, know that that does not solve anything. Try us out now for free and let us help you overcome hard stats questions in no time!

Trust us to take you through introduction to statistics, or statistics for data science, or introduction to probability, and take us with you wherever you go! Learn stats online with our comprehensive statistics classes and improve your knowledge and skills at solving statistic problems. Exercise statistics daily with our library of questions, never struggle with stats homework again and be liberated from your fear of math! Together with the help of StudyPug, let's change your mindset of math and see actual results of improvement and success! Remember, every advancement made in improving your understanding or learning new stats skills is progress, and with progress find yourself tackling hard statistic questions with ease!

How to learn statistics?

Tired of asking google for "a kumon near me"? StudyPug can help you with all your statistical needs from the convenience of your home, café, school, and even on the go! With multiple online statistics courses, 24/7 help, and several free intro lessons, here at StudyPug we support learning for all levels and curricula beginning at stats for dummies all the way up to university stats! So whether you are looking for a specific data course or hoping to improve your understanding with some additional statistics review, you have come to the right place.

Learning statistics? Find all the help you need with Statistics right away in one place! Browse through all of the statistics topics we cover and easily find the topic you need help with right away! Just getting started? We have organized our topics and lessons in order of difficulty starting with core concepts and building in succession to more advanced concepts and questions. With 1000's of lessons accompanied by step-by-step examples, we have made easy practice to enhance your learning and to drill in your understanding of all things statistics! Take the stress out of math and let us provide you with all the statistics homework help you need right now with our statistic tutorials. Learn alongside our statistics videos, discover study tips, learn new skills, and apply your understanding by testing yourself with the best practice questions on statistics you can find!

How to pass statistics?

There is no substitute for hard work
Thomas Edison"

To succeed in passing statistics is no small feat. Although at StudyPug we strive to teach you in ways that feels like statistics is made easy, we do not shy away from the fact that passing is going to take a lot of hard work and effort! These are not two mutually exclusive events! Moreover if you plan on doing well at statistics, this is going to be a greater challenge, even though we have made stats for dummies! Learning statistics online has never been easier so start your statistics exam prep today! Our team of well experienced educators have crafted the perfect stats study guide for you and know how to prepare students for all the permutations and combinations of questions you will face in exams, tests, and quizzes!

Whether you are looking for help with elementary statistics, high school statistics, statistics 101, or even for college stats our recipe is for you: begin with working on the topics you find the toughest - Do not panic, our stats tutors will be here for you every step of the way. So whether you are struggling with understanding the different types of distributions in statistics, frequency histograms, hypothesis testing, confidence intervals, or cannot figure out how to read statistic charts, we'll be able to fix that in no time!

While this may seem daunting, we encourage students to do this, as these topics will take the greatest amount of time to revise, so you will also want to start early, get ahead of the game and reduce your stress even more! Our short and sweet video lessons will give you the crash course statistics information you need within minutes! Then, follow your statistics tutor lead you through some key statistics examples of statistical math problems you will likely encounter in your assessments. Once you have surveyed the different types of questions you will likely expect in your upcoming exam, take a shot at your inventory of practice questions. We want you to be confident fully prepared to tackle all kinds of questions, especially the ones that easily trip students up! With over 100's of unique practice questions, never run of practice again! If you are ever feeling stuck again, quickly slip back to one of our example video lessons and learn the steps to solving similar kinds of statistic problems. With our 24/7, instant access, help with statistics, and enough practice, go from always feeling like you are stuck in elementary statistics to a mathematical statistics wiz! Together, let's ace that stats test, improve your understanding, and excel in stats together!

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