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Parent Programme
Bachelor of Business (Level 7 NFQ)
NFQ Level & Registration
Level 6 / M1.4
Duration
12 Weeks X 3 Hours per week
MODULE TITLE
Business Statistics & Mathematics
STAGE
1
Module Credit nits
ECTS: 5

Business Statistics and Mathematics 1

Introducing to Statistics and Mathematics

The Business Statistics and Mathematics module equips learners with essential skills for performing fundamental financial calculations, including compound interest, annuities, and mortgages, and emphasises their application in solving real-world business finance problems. The module covers data presentation techniques, focusing on designing surveys and questionnaires, selecting appropriate sampling methods, and effectively presenting both categorical and continuous data. Additionally, it introduces basic probability concepts, including the construction and interpretation of probability trees, application of Bayes' Theorem, and understanding discrete probability distributions such as Poisson and Binomial, all crucial for risk assessment and decision-making.

Indicative Syllabus Content    

Business Statistics and Mathematics

Financial Mathematics

  • Compound Interest
  • Depreciation; Present Value
  • Incremental Payments; Annuities; Sinking Funds; Mortgages
  • Annual Percentage Rate (APR)

Quantitative Information            

  • Mathematical Models
  • Population and Sample
  • Probability/Non-Probability Sampling
  • Survey design
  • Questionnaire design

Presentation of Data

  • Tabulation of Data
  • Presentation of Categorical Data
  • Presentation of Continuous data;
    • Graphical representation: Histogram, Cumulative Frequency curve, Ogive Lorenz curve

Measure of Location     

  • Raw Data: mean, median, mode
  • Tabulated discrete data: mean, median, mode
  • Tabulated continuous data: mean, median, mode
  • Other measure of Location
  • Relationships between averages

Measure of Dispersion

  • Range
  • Variance
  • Standard Deviation
  • Semi-interquartile rage

Introduction to Probability

  • Concept; Basic relationships in Probability
  • Probability Trees; Bayes Theorem

Minimum Intended Learning Outcomes (MIMLOs)

Upon successful completion of this module, the learner should be able to:
MIMLO1
Apply financial mathematics concepts to solve real-world business problems.
MIMLO2
Present and interpret data using various statistical methods.
MIMLO3
Apply basic probability concepts to assess risk and make decisions

Assessment

MIMLOs
Assessment
Percentage
1, 2, 3
CA1 - Assignment
100%

Reassessment Opportunity

Where the combined marks of the assessment and examination do not reach the pass mark the learner will be required to repeat the element of assessment that they failed. Reassessment materials will be published on Moodle after the Examination Board Meeting and will be aligned to the MIMLOs and learners will be capped at 40% unless there are personal mitigating circumstances.

Aims & Objectives

The objectives of this module are to enable the learner to apply complex financial mathematics concepts to analyse and solve business finance problems, design, conduct, and evaluate surveys and questionnaires for business research using suitable sampling techniques, and present and interpret business data effectively using various statistical methods, including measures of location and dispersion.  Additionally, learners will understand and apply fundamental probability concepts and distributions to assess risks and make informed business decision.

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