Level 3 Mathematical Studies (Core Maths) AQA
Full course content, a smart revision plan and instant past paper feedback for Level 3 Mathematical Studies (Core Maths) AQA.
Start revising this course →Content Overview
40 topics in 9 modules
☑️ Analysis of Data 5 topics
- Measures of Central Tendency
- Measures of Spread
- Representation and Interpretation of Data
- Spearman's Rank Correlation and Pearson's Product-Moment Correlation Coefficient
- Linear Regression
☑️ Maths for Personal Finance 4 topics
- Tax, National Insurance, Income, and Pensions
- Earnings, Deductions, Loans, and Savings Interest
- Investments and Financial Planning
- Exchange Rates
☑️ Estimation 4 topics
- Estimating Measures and Quantities
- Techniques for Estimating
- Percentage Error and Uncertainty
- Monte Carlo Simulation
☑️ Critical Analysis of Given Data and Models 3 topics
- Identifying Trends and Recognizing Limitations in Data
- Understanding the Assumptions Behind Models
- Considering the Relevance and Reliability of Data
☑️ The Normal Distribution 5 topics
- Properties of The Normal Distribution
- The Standard Normal Distribution
- Z-scores
- Cumulative Frequency and Percentiles
- Estimating Population Mean and Standard Deviation
☑️ Probabilities and Estimation 4 topics
- Probability Laws, Including Conditional Probability and Independence
- Diagrammatic Representation of Probabilities
- Bayes' Theorem
- Estimating Probabilities Using Simulation
☑️ Correlation and Regression 5 topics
- Pearson's Product-Moment Correlation Coefficient
- Linear Regression Analysis
- Estimating and Interpreting the Line of Best Fit
- Residuals and Residual Plots
- The Coefficient of Determination
☑️ Statics 5 topics
- Moments
- Equilibrium
- Vectors
- Forces Acting on a Rigid Body
- Force Diagrams and Vector Diagrams
☑️ Critical Path Analysis and Risk Analysis 5 topics
- Activity Networks
- Earliest and Latest Start and Finish Times
- Float Times and the Critical Path
- Uncertainty in Project Times
- Estimating the Probability of Completion Times
Level 3 Mathematical Studies (Core Maths) AQA Revision Content
Take a look at the written content available for this course. Practice-question availability may vary.
Level 3 Mathematical Studies (Core Maths) AQA - Analysis of Data - Measures of Central Tendency Content Preview
Analysis of Data
Measures of Central Tendency
Measures of Central Tendency
Mean
- The mean is calculated by adding up all the numbers in a dataset and dividing by the count of numbers in the dataset.
- It gives the average value of the dataset.
- One disadvantage is that the mean can be heavily affected by outliers or extremes values.
Median
- The median is the middle value in a dataset when arranged in ascending order.
- If there is an even number of values, the median is the mean of the two middle numbers.
- The advantage of using median is it isn't affected by outliers or extreme numbers.
Mode
- The mode is the value that occurs most frequently in a dataset.
- A dataset may have one mode (unimodal), two modes (bimodal), more than two modes (multimodal), or no modes (no repeated values).
Key Differences
- The three measures can provide different insights: the mean considers all values, the median represents the middle point, and the mode identifies the most common values.
- Outliers may affect the mean significantly, can change median slightly but never affect the mode.
- The mean can be less representative if the dataset is skewed, while the median and mode are more resilient to skewed data.
Practice Problem
- For instance, in the set {3, 5, 6, 6, 9}:
- The mean is (3+5+6+6+9)/5 = 5.8.
- The median is 6 (the middle value).
- The mode is 6 (the most frequently occurring value).
Question: In a dataset {12, 15, 18, 22, 11, 18, 15, 20, 28, 30}, calculate the mean, median and mode, and discuss why each measure of central tendency may differ in what it suggests about the data.
Unlock instant, personalised feedback
Sign up to Adapt to practise the exam questions available for this course with instant, personalised feedback.
Start revising this course →Try Adapt now
Add this exact course and build your personalised revision plan.