Statistics and Mathematical Foundation 101 — On-demand course

Statistics and mathematics: the foundations of data analysis

Build a practical understanding of how data are described, how uncertainty is represented and how statistical evidence is interpreted. Explore the concepts behind data science, supported by a smart-grid energy consumption case study. Study the recorded material at your own pace.

Format
Recorded, no live meeting
Length
One-hour lecture
You receive
Video, annotated slides, transcript, quiz
Focus
Statistical foundations

Meet your course instructor

This course is provided by MCC Economics & Finance and focuses on statistical reasoning and the mathematical foundations of data analysis.

Course provider

MCC Economics & Finance

Economics, finance and applied analysis

MCC Economics provides analysis and advice across economics, finance and regulation. This course focuses on statistical reasoning and the mathematical foundations of data analysis. Contact the team to confirm the named lecturer for your selected session or recording.

  • Economic and financial analysis
  • Quantitative modelling and research
  • Training in applied economic concepts
I heartily recommend PJ to anyone seeking input on the financial parameters that underpin different regulatory models.
James Veaney, Deputy Director, Electricity Sector Price Controls, Ofgem · Client feedback on PJ’s consultancy work, supplied in the reference template; not a review of this course.

Quick Answer

Statistics and Mathematical Foundation 101 introduces data types, descriptive statistics, probability, distributions and statistical inference, with an energy-use application in smart grids. The recorded package includes a one-hour lecture video, annotated slides, a transcript and a quiz. This is recorded study, with no live meeting. Check the Eventbrite listing for current access and ticket terms.

Key takeaways

  • The type of data determines which summaries and comparisons are meaningful.
  • A measure of central tendency describes a typical value; a measure of spread describes variation around it.
  • Probability distributions describe uncertainty, while hypothesis tests and confidence intervals support inference.
  • The smart-grid case study links these foundations to analysis of energy consumption.

What will you be able to do after the course?

The course topics support three learning outcomes. They describe the concepts you will work through, rather than promising mastery from a single session.

  • Classify and summarise data. Distinguish nominal, ordinal, interval and ratio scales and interpret common measures of centre and spread.
  • Explain uncertainty. Describe probability and distributions, and distinguish statistical evidence from certainty.
  • Connect methods to an application. Explain how statistical foundations support analysis of energy consumption in smart grids.

What does the course cover?

This outline organises the topics described in the course listing. The summaries explain the subject matter in plain English.

  1. Introduction: why statistical and mathematical foundations matter for analysing data.
  2. Types of data: nominal, ordinal, interval and ratio data, and their implications for analysis.
  3. Descriptive statistics: mean, measures of variability and the difference between a typical value and a spread.
  4. Probability and distributions: basic probability rules and the distinction between discrete and continuous distributions.
  5. Hypothesis testing and confidence intervals: how samples are used to evaluate claims and express uncertainty about population quantities.
  6. Smart-grid energy consumption case study: an application of the course concepts to predicting and optimising energy use.

What do the key terms mean?

These definitions support the course topic and help you interpret the material. They are explanatory context, not a promise that every term is a separate lesson.

TermMeaning
Nominal and ordinal dataNominal categories have no intrinsic order; ordinal categories have an order but not necessarily equal spacing.
Interval and ratio dataInterval scales have meaningful differences; ratio scales also have a meaningful zero.
MeanThe sum of observed values divided by the number of observations.
Variance and standard deviationMeasures of spread; standard deviation is expressed in the same units as the variable.
Probability distributionA description of the possible values of a random variable and their probabilities or probability density.
Hypothesis testA procedure for evaluating evidence against a specified null hypothesis under stated assumptions.
Confidence intervalAn interval produced by a method with a stated long-run coverage rate. It is not a guarantee for a particular sample.
P-valueUnder the null model, the probability of a test statistic at least as extreme as the observed one. It is not the probability that the null hypothesis is true.

Who is the course for?

Statistics and Mathematical Foundation 101 suits learners interested in statistical reasoning and the mathematical foundations of data analysis. No formal prerequisite is specified. Comfort with basic arithmetic and reading graphs will help.

  • Students and aspiring data analysts
  • Economists and researchers refreshing their statistics
  • Professionals developing quantitative skills
  • People entering data science

Which courses should you take first?

Explore related MCC training below. The cards distinguish live and recorded formats. They are options for further study rather than a compulsory sequence; review each course’s scope and availability before choosing.

  1. StatsStatistics foundation · Live
  2. 101Econometrics 101 · Recorded
  3. 101Econometrics 101 · Live
  4. 110Econometrics 110 · Recorded
  5. AllBrowse courses
  6. 101This course

Browse every title on the MCC Economics courses page.

Why learn this from MCC Economics?

MCC Economics brings economic and financial analysis to policy, regulation and investment questions. Statistics and Mathematical Foundation 101 offers a focused introduction to statistical reasoning and the mathematical foundations of data analysis. Explore its data science services, research publications and team profiles to see the wider context of MCC’s work.

MCC Economics has helped us better understand the most important issues for our stakeholders, including: charges, shareholder returns, debt payments and inflation impacts.
Leila N. Nasr, Section Head, Department of Energy, Abu Dhabi · Client feedback on MCC consulting work, supplied in the reference template; not a review of this course.

Questions buyers ask before registering

What does Statistics and Mathematical Foundation 101 cover?

Statistics and Mathematical Foundation 101 introduces data types, descriptive statistics, probability, distributions and statistical inference, with an energy-use application in smart grids.

Is this a live course or recorded material?

This listing is for recorded course material, with no live meeting. Follow the access instructions provided with your registration.

What is included?

The recorded package includes a one-hour lecture video, annotated slides, a transcript and a quiz.

How long does it take?

The indexed description specifies a one-hour recorded lecture. Allow additional time to review supporting material and complete the quiz.

Who delivers the course?

The course is provided by MCC Economics & Finance. Contact the team to confirm the lecturer for your selected recording.

What preparation is useful?

No formal prerequisite is specified. Comfort with basic arithmetic and reading graphs will help.

What is the difference between descriptive statistics and inference?

Descriptive statistics summarise the observed data. Inference uses a sample and a statistical model to draw conclusions about a broader population.

Does the course include a practical example?

The listing describes a smart-grid case study involving prediction and optimisation of energy consumption.

Is a p-value the probability that a hypothesis is true?

No. A p-value describes how unusual a test statistic would be under the null model; it does not assign a probability to the hypothesis itself.

Which software or certificate is included?

The retrievable listing does not specify a required software package or a completion certificate. Ask MCC if either matters to your training plans.

Can my organisation arrange team training?

Contact MCC Economics through the consultation page to discuss team access or tailored training.