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 highpaying 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 highpaying 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

Summarising data  overview

Mode

Mean

Median

Mode, mean, median

Comparing mode, mean, median

Range of data

Interquartile range

Review of summarising data
Types of Graphs

Types of Graphs

Ice cream pictograph

Column and bar graphs

Examples of column graphs

Pie charts

Examples of pie charts

Line graphs

Temperature line graphs

Types of graphs

Interpreting column graphs

Manchester flights bar graph

Movie line graph

Interpretation of a sports pie graph

Review of graphs
Frequency and Graphs

Overview of Frequency and graphs

Nominal data

Discrete data

Continuous data

Frequency tables with nominal data

Frequency tables with discrete data

Frequency tables  discrete data and summary statistics

Mean from frequency tables  discrete data

Interpreting column graphs

Family size cumulative frequency
Normal Distribution

The normal curve

Continuous random variables and the normal distribution

Calculation of probabilities for a normal distribution

Approximating the binomial distribution
Probability

Introduction to probability

Probability words

Words describing chance

Finding probabilities theoretically

Probability with equally likely outcomes
Probability and Relative Frequency

Probability and relative frequency

Shortrun coin tossing

Shortrun dice rolling

Predicting from past experience

Towards probability with coins

Towards probability with dice

Probability as longrun relative frequency
Regression

Introduction to the regression line

Finding the equation of a regression line

Interpretation of slope and intercept

Practice question

The threemedian regression line

Using your calculator

The threemedian regression example

The threemedian regression practice questions

The least squares regression line

Making predictions from a regression line
Coefficient of Determination

Scatterplots

Scatterplots: using your calculator

Pearson's product moment correlation coefficient, r

Calculating r

The coefficient of determination

Practice question

Strength of association
Nonlinear Data

Nonlinear data

Square transformation

Log transformations

Reciprocal transformation

Example 1

Example 2
Binomial Distribution

Binomial probability function

Number of successes in a given number of trials

Effect of changing the parameter p

Effect of changing the parameter n

Mean and variance of a binomial random variable
Hypergeometric Distribution

Sampling without replacement

Mean of a hypergeometric random variable

Variance of a hypergeometric random variable

Mean and variance of a hypergeometric random variable example 1

Mean and variance of a hypergeometric random variable example 2

Formula for calculating probabilities

Calculating probabilities
Univariate Data Part 1
Univariate Data Part 2
Bivariate Data

Introduction to Bivariate Data

Dependent and independent variables

Percentage tables

Parallel boxplots

Backtoback stemplots

Graphical display of bivariate data
Calculating a Seasonal Index

Calculating a seasonal index

Interpreting seasonal indices

Seasonal movements

Deseasonalising the data

Deseasonalising the data – example
Residual Analysis

Introduction to Residual Analysis

Residual analysis  part 1

Plotting the residuals

Residual analysis  part 2

Residual analysis  part 3
Trend Analysis

Trends

Cyclic patterns

Random patterns

Describing patterns in time series data

Seasonal patterns

Smoothing a time series

Median smoothing

Smoothing using moving averages

Smoothing  example 1

Smoothing  example 2
Probability and Odds

Probability and Odds

Odds

Odds on

Odds and probability

Fair or unfair?

Deciding fairness using probability
Summary Statistics

Summary statistics

The mean

The median – definition

Cumulative frequency

Cumulative frequency graph

The mode

Advantages and disadvantages of the mean

The median for even data sets

Advantages and disadvantages of the median

The mean  example

The median  example
Range

The soccer activity

The range

The interquartile range

The interquartile range  example 1

The interquartile range  example 2

The standard deviation

Boxplots

Boxplots  example

Using your calculator
Discrete Random Variables

Random variables

Discrete probability distribution

The mean and variance of a discrete random variable

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 securitymarked Diploma, posted to you with FREE shipping
Framed Diploma  a physical version of your officially branded and securitymarked Diploma in a stylish frame, posted to you with FREE shipping
All Diplomas are available to purchase through the Alison Shop. For more information on purchasing Alison Diplomas, please visit our FAQs. If you decide not to purchase your Alison Diploma, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Diploma pricing, please visit our Pricing Page.
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