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Diploma in Statistics
Learn about statistics, and gain valuable skills for use in business, science, finance, engineering, economics and more.
Description
For business and science in the 21st century, data is hugely important. With strong statistics skills, you can predict market changes, design traffic systems, build strong business strategies, and so much more. These skills are valuable. This course will start by discussing basic statistical methods such as sampling and collecting data. It will then introduce you to concepts of probability and methods of probability modelling, which are vital skills in high-paying industries of finance and investment banking.
You will then be introduced to distributions, and finally will get a full run through of regression analysis, which will give you important tools for working in the fields of engineering and economics. By the end of this course, you will have gained the knowledge and understanding to confidently read statistics and apply statistical methods within a range of working environments.
With the importance of statistics increasing every year, particularly in very high-paying industries such as finance and engineering, these are skills that will benefit you for life. With this free course, which takes less than 10 hours, these skills are now available to you. So get the boost you’re looking for today!
Start Course NowModules
Collecting and analysing data
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Summarising data - overview
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Mode
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Mean
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Median
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Mode, mean, median
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Comparing mode, mean, median
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Range of data
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Inter-quartile range
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Review of summarising data
Types of Graphs
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Types of Graphs
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Ice cream pictograph
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Column and bar graphs
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Examples of column graphs
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Pie charts
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Examples of pie charts
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Line graphs
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Temperature line graphs
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Types of graphs
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Interpreting column graphs
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Manchester flights bar graph
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Movie line graph
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Interpretation of a sports pie graph
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Review of graphs
Frequency and Graphs
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Overview of Frequency and graphs
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Nominal data
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Discrete data
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Continuous data
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Frequency tables with nominal data
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Frequency tables with discrete data
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Frequency tables - discrete data and summary statistics
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Mean from frequency tables - discrete data
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Interpreting column graphs
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Family size cumulative frequency
Normal Distribution
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The normal curve
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Continuous random variables and the normal distribution
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Calculation of probabilities for a normal distribution
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Approximating the binomial distribution
Probability
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Introduction to probability
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Probability words
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Words describing chance
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Finding probabilities theoretically
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Probability with equally likely outcomes
Probability and Relative Frequency
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Probability and relative frequency
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Short-run coin tossing
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Short-run dice rolling
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Predicting from past experience
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Towards probability with coins
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Towards probability with dice
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Probability as long-run relative frequency
Regression
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Introduction to the regression line
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Finding the equation of a regression line
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Interpretation of slope and intercept
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Practice question
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The three-median regression line
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Using your calculator
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The three-median regression example
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The three-median regression practice questions
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The least squares regression line
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Making predictions from a regression line
Coefficient of Determination
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Scatterplots
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Scatterplots: using your calculator
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Pearson's product moment correlation coefficient, r
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Calculating r
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The coefficient of determination
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Practice question
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Strength of association
Non-linear Data
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Non-linear data
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Square transformation
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Log transformations
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Reciprocal transformation
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Example 1
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Example 2
Binomial Distribution
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Binomial probability function
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Number of successes in a given number of trials
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Effect of changing the parameter p
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Effect of changing the parameter n
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Mean and variance of a binomial random variable
Hypergeometric Distribution
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Sampling without replacement
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Mean of a hypergeometric random variable
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Variance of a hypergeometric random variable
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Mean and variance of a hypergeometric random variable example 1
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Mean and variance of a hypergeometric random variable example 2
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Formula for calculating probabilities
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Calculating probabilities
Univariate Data Part 1
Univariate Data Part 2
Bivariate Data
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Introduction to Bivariate Data
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Dependent and independent variables
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Percentage tables
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Parallel boxplots
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Back-to-back stemplots
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Graphical display of bivariate data
Calculating a Seasonal Index
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Calculating a seasonal index
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Interpreting seasonal indices
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Seasonal movements
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Deseasonalising the data
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Deseasonalising the data – example
Residual Analysis
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Introduction to Residual Analysis
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Residual analysis - part 1
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Plotting the residuals
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Residual analysis - part 2
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Residual analysis - part 3
Trend Analysis
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Trends
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Cyclic patterns
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Random patterns
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Describing patterns in time series data
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Seasonal patterns
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Smoothing a time series
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Median smoothing
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Smoothing using moving averages
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Smoothing - example 1
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Smoothing - example 2
Probability and Odds
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Probability and Odds
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Odds
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Odds on
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Odds and probability
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Fair or unfair?
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Deciding fairness using probability
Summary Statistics
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Summary statistics
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The mean
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The median – definition
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Cumulative frequency
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Cumulative frequency graph
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The mode
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Advantages and disadvantages of the mean
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The median for even data sets
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Advantages and disadvantages of the median
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The mean - example
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The median - example
Range
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The soccer activity
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The range
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The interquartile range
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The interquartile range - example 1
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The interquartile range - example 2
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The standard deviation
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Boxplots
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Boxplots - example
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Using your calculator
Discrete Random Variables
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Random variables
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Discrete probability distribution
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The mean and variance of a discrete random variable
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Standard deviation as a measure of spread
Statistics Assessment 1
End of course Assessment
Statistics Assessment 3
Statistics Assessment 2
Learning Outcomes
Upon completion of this course you will learn how to collect and analyse data. You will gain a good knowledge of the graphs that can be used and the reason for using these graphs.You will have a good understanding of probability, univariate data, and bivariate data.
You will know the difference between normal, binomial and hypergeometric distribution. You will be able to do a regression analysis. You will understand the benefits of analytical methods such as trend analysis, residual analysis and the calculation of a seasonal index.
Certification
All Alison courses are free to enrol, study and complete. To successfully complete this Diploma course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Diploma course, you have the option to acquire an official Diploma, which is a great way to share your achievement with the world. Your Alison Diploma is:
Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning
Alison offers 3 types of Diplomas for completed Diploma courses:
Digital Diploma - a downloadable Diploma in PDF format, immediately available to you when you complete your purchase
Diploma - a physical version of your officially branded and security-marked Diploma, posted to you with FREE shipping
Framed Diploma - a physical version of your officially branded and security-marked Diploma in a stylish frame, posted to you with FREE shipping
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