Maths A Level

How to Work out Interquartile Range: Summary

Here’s a summary of everything you need to know about the interquartile range for A Level, including how to work out the interquartile range.

 

Transcript

Lesson overview

Types of Data

  1. Data Introduction: The Lady with the Lamp
  2. Quantitative and Qualitative Variables
  3. Continuous and Discrete Variables
  4. What are Data?
  5. Types of Data
  6. Introduction
  7. Frequency Tables
  8. Frequency Tables and Quantitative Data
  9. Grouped Frequency Tables
  10. Parts of the Grouped Frequency Table
  11. Hidden Boundaries
  12. Finding Class Boundaries
  13. Grouped Frequency Tables with Boundaries
  14. Class Widths and Midpoints

Linear Interpolation

  1. Finding Unknown Points
  2. Linear Interpolation
  3. Linear Interpolation and Tables
  4. Reading Grouped Frequency Tables
  5. Cumulative Frequency Counts
  6. Interpolating Frequency Counts in Subclasses
  7. Interpolating Frequency Counts- Shortcuts

Descriptive Statistics – Introduction

  1. Introduction
  2. Descriptive Statistics
  3. Frequency Diagrams
  4. Distribution
  5. Central Location and Spread

Measures of Central Location

  1. Central Location – Mode
  2. The Modal Class Interval
  3. More Measures of Central Location
  4. The Total Number of Data Points
  5. Sigma Notation
  6. Central Location – Mean
  7. Sigma Notation Part 2
  8. Calculating a Mean from Frequency Tables
  9. Estimating a Mean from Grouped Frequency Tables
  10. Central Location – Median
  11. Describing the Location of the Median
  12. Finding the Median in a Large Data Set
  13. Central Tendency and Symmetric Distributions
  14. Positively and Negatively Skewed Distributions

Measures of Spread

  1. The Problem with Range
  2. Quartiles
  3. The Interquartile Range
  4. How do we cut data into quarters?
  5. Finding the Position of Quartiles
  6. Rounding the Position of Quartiles (Article)
  7. The Values of Quartiles Between Data Points
  8. Finding Quartiles from Frequency Tables
  9. Finding Quartiles of Continuous Data
  10. Another Measure of Location
  11. Percentiles
  12. Percentiles and Quartiles
  13. Finding the Position of Percentiles
  14. Spread – The Interpercentile Range
  15. What’s So Great About Interpercentile Ranges?

Outliers and Standard Deviation

  1. Introduction: Outliers
  2. Dealing with Outliers
  3. Strategy 1: Finding Outliers Using Quartiles (Part 1)
  4. Strategy 1: Finding Outliers Using Quartiles (Part 2)
  5. Strategy 1: The Constant k
  6. Another Strategy for Finding Outliers
  7. Deviation
  8. Finding the Average Deviance
  9. Step 1: Sxx
  10. Step 2: Variance
  11. Step 3: Standard Deviation
  12. Strategy 2: Finding Outliers Using Standard Deviation
  13. Mean Absolute Deviation
  14. Removing Anomalies
  15. SD and Variance: Measures of Spread
  16. Finding Variance/SD: A Shortcut Part 1
  17. Finding Variance/SD: A Shortcut Part 2
  18. Finding the Variance/SD from a Frequency Table
  19. Finding the Variance/SD from a Grouped Frequency Table
  20. Comparing Data Sets

Coding

  1. Introduction to Coding
  2. Coding Data
  3. Rules for Coding Data
  4. Rules Involving Subtraction
  5. Rules Involving Subtraction and Division
  6. Decoding Data
  7. Finding the Mean of Coded Data
  8. Finding the Standard Deviation of Coded Data
  9. How Mean and Standard Deviation are Affected by Coding

Box Plots and Cumulative Frequency Diagrams

  1. Introduction to Descriptive Statistics
  2. Box Plots
  3. Box Plots with Outliers
  4. Comparing Box Plots
  5. Another Way to Estimate Data
  6. Plotting Cumulative Frequency Diagrams
  7. Reading Cumulative Frequency Diagrams

Histograms and Frequency Polygons

  1. Introduction To Histograms
  2. Why is a Histogram Not a Bar Chart? – Part 1
  3. Why is a Histogram Not a Bar Chart? – Part 2
  4. Why Do Histograms Use Area to Represent Frequency?
  5. Plotting A Histogram – Part 1
  6. Plotting A Histogram – Part 2
  7. Histogram Questions – Part 1
  8. Histogram Questions – Part 2
  9. Frequency Polygons

Sampling

  1. Introduction to Inferential Statistics
  2. What is a Population?
  3. What is a Census?
  4. Censuses: Pros and Cons
  5. Samples and Inferences
  6. Why is it Called a Sampling Frame?
  7. Samples Should Be Representative
  8. Sample Size
  9. Types of Sampling
  10. Opportunity Sampling
  11. Opportunity Sampling: Pros and Cons
  12. Quota Sampling
  13. Quota Sampling: Pros and Cons
  14. Random Sampling vs Non-Random Sampling
  15. Simple Random Sampling
  16. Simple Random Sampling: Pros and Cons
  17. Systematic Sampling
  18. Systematic Sampling: Pros and Cons
  19. Stratified Sampling
  20. Stratified Sampling: Pros and Cons