BIOLOGY FOR LIFE
  • ⭐IB Bio Syllabus⭐
    • Unity and Diversity (A) >
      • A1 molecules >
        • A1.1: Water
        • A1.2: Nucleic Acids
      • A2 Cells >
        • A2.1: Origins of Cells
        • A2.2: Cell Structure
        • A2.3: Viruses
      • A3 Organisms >
        • A3.1: Diversity of Organisms
        • A3.2: Classification and Cladistics
      • A4 Ecosystems >
        • A4.1: Evolution and Speciation
        • A4.2: Conservation of Biodiversity
    • Form and Function (B) >
      • B1 Molecules >
        • B1.1: Carbohydrates and Lipids
        • B1.2: Proteins
      • B2 Cells >
        • B2.1 Membranes and Membrane Transport
        • B2.2 Organelles and Compartmentalization
        • B2.3 Cell Specialization
      • B3 Organisms >
        • B3.1 Gas Exchange
        • B3.2 Transport
        • B3.3 Muscle and Motility
      • B4 Ecosystems >
        • B4.1 Adaptation to Environment
        • B4.2 Ecological Niches
    • Interaction and Interdependence (C) >
      • C1 Molecules >
        • C1.1: Enzymes and Metabolism
        • C1.2: Cell Respiration
        • C1.3: Photosynthesis
      • C2 Cells >
        • C2.1: Chemical Signaling
        • C2.2: Neural Signaling
      • C3 Organisms >
        • C3.1: Integration of Body Systems
        • C3.2: Defense Against Disease
      • C4 Ecosystems >
        • C4.1 Populations and Communities
        • C4.2 Transfers of Energy and Matter
    • Continuity and Change (D) >
      • D1 Molecules >
        • D1.1: DNA Replication
        • D1.2: Protein Synthesis
        • D1.3: Mutation and Gene Editing
      • D2 Cells >
        • D2.1: Cell and Nuclear Division
        • D2.2: Gene Expression
        • D2.3: Water Potential
      • D3 Organisms >
        • D3.1: Reproduction
        • D3.2: Inheritance
        • D3.3: Homeostasis
      • D4 Ecosystems >
        • D4.1: Natural Selection
        • D4.2: Stability and Change
        • D4.3: Climate Change
    • Legacy Syllabus (2016) >
      • Core >
        • 1: Cell Biology >
          • 1.1: Introduction to Cells
          • 1.2: Ultrastructure of Cells
          • 1.3: Membrane Structure
          • 1.4: Membrane Transport
          • 1.5: The Origin of Cells
          • 1.6: Cell Division
        • 2: Molecular Biology >
          • 2.1: Molecules to Metabolism
          • 2.2: Water
          • 2.3: Carbohydrates and Lipids
          • 2.4: Proteins
          • 2.5: Enzymes
          • 2.6: DNA and RNA
          • 2.7: DNA Replication, Transcription and Translation
          • 2.8: Cell Respiration
          • 2.9: Photosynthesis
        • 3: Genetics >
          • 3.1: Genes
          • 3.2: Chromosomes
          • 3.3: Meiosis
          • 3.4: Inheritance
          • 3.5: Genetic Modification and Biotechnology
        • 4: Ecology >
          • 4.1: Species, Communities and Ecosystems
          • 4.2: Energy Flow
          • 4.3: Carbon Cycling
          • 4.4: Climate Change
        • 5: Evolution and Biodiversity >
          • 5.1: Evidence for Evolution
          • 5.2: Natural Selection
          • 5.3: Classification and Biodiversity
          • 5.4: Cladistics
        • 6: Human Physiology >
          • 6.1: Digestion and Absorption
          • 6.2: The Blood System
          • 6.3: Defense Against Infectious Disease
          • 6.4: Gas Exchange
          • 6.5: Neurons and Synapses
          • 6.6: Hormones, Homeostasis and Reproduction
      • Higher Level >
        • 7: Nucleic Acids >
          • 7.1: DNA Structure and Replication
          • 7.2: Transcription and Gene Expression
          • 7.3: Translation
        • 8: Metabolism, Cell Respiration & Photosynthesis >
          • 8.1: Metabolism
          • 8.2: Cell Respiration
          • 8.3: Photosynthesis
        • 9: Plant Biology >
          • 9.1: Transport in the Xylem of Plants
          • 9.2: Transport in the Phloem of Plants
          • 9.3: Growth in Plants
          • 9.4: Reproduction in Plants
        • 10: Genetics and Evolution >
          • 10.1: Meiosis
          • 10.2: Inheritance
          • 10.3: Gene Pools and Speciation
        • 11: Animal Physiology >
          • 11.1: Antibody Production and Vaccination
          • 11.2: Movement
          • 11.3: Kidney and Osmoregulation
          • 11.4: Sexual Reproduction
      • Options >
        • D: Human Physiology >
          • D.1: Human Nutrition
          • D.2: Digestion
          • D.3: Functions of the Liver
          • D.4: The Heart
          • D.5: Hormones and Metabolism
          • D.6: Transport of Respiratory Gases
  • IB Requirements
    • Learner Profile
    • Collaborative Sciences Project
    • External Assessment
    • Internal Assessment >
      • Research Design
      • Analysis
      • Conclusion
      • Evaluation
    • Extended Essay
  • Exam Revision
    • Revision Tools
  • Skills for Biology
    • Tools >
      • Experimental Techniques >
        • Addressing Safety
        • Measuring Variables >
          • Lab Drawings
          • Measurement Uncertainty
        • Techniques >
          • Microscopy
      • Technology >
        • Graphing with Excel
      • Mathematics >
        • Statistics >
          • Glossary of Statistic Terms and Equations
          • Descriptive Statistics >
            • Skew and the Normal Distribution
            • Outliers
            • Measures of Central Tendancy
            • Measures of Spread
            • Pearson Correlation
          • Inferential Statistics >
            • T-Test
            • ANOVA
            • Kruskal-Wallis
            • X2 Test for Independence
            • X2 Goodness of Fit
        • Graphing >
          • Interpreting Error Bars
    • Inquiry Processes >
      • Exploring & Designing >
        • Research Questions
        • Hypotheses and Predictions
        • Varaibles
        • Sampling
      • Collecting & Processing Data >
        • Data Tables
      • Concluding & Evaluating >
        • Error Analysis
  • SHS Course Info
    • Above & Beyond >
      • Biology Club
      • Pumpkin Carving
      • Scavenger Hunt
      • Science News
      • Wood Duck Project (legacy)
      • Invasive Crayfish Project (legacy)
    • Assessment >
      • Class Grading IB Bio I
      • Class Grading IB Bio II
      • Daily Quizzes (legacy)
      • Lab Practicals (legacy)
    • Class Photos
    • Recommendations
  • Contact
  • About
    • Philosophy
    • Resume
    • Reflection
    • Favorite Quotes
    • AEF Blog
  • Expeditions
    • Bahamas (2009)
    • Trinidad (2010)
    • Trinidad (2011)
    • Ecuador (2012)
    • Trinidad (2013)
    • Peru (2014)
    • Bahamas (2015)
    • Peru (2016)
    • Costa Rica (2017)
    • Costa Rica (2018)
    • Arizona (2022)
    • Florida (2023)
    • Belize (2024)
    • Costa Rica (2025)
  • Summer Ecology Research
  • Teacher Resources

Statistical Analysis

Statistics is a field of mathematics that is used to quantitatively describe the variability inherent in data, the probability of certain outcomes, and the uncertainty associated with those outcomes.  Statistical methods are used extensively throughout the scientific process, from the design of research questions through data analysis and to the final interpretation of data.

Many statistical techniques have been developed for data analysis, but they generally fall into two groups: descriptive and inferential.

Descriptive Statistics

Descriptive statistics help to summarize data.   Descriptive statistics do not allow you to make conclusions beyond the data you have collected or reach conclusions regarding any hypotheses you might have made. They are simply a way to describe your data.  Descriptive statistics are very important because if you simply presented your raw data it would be hard to visualize what the data was showing, especially if there was a lot of it.

Common descriptive statistics used in IB Biology are:
  • Skew
  • Measures of central tendency (mean, median or mode)
  • Measures of Spread (range, standard deviation or  quartiles)
  • Correlation coefficient

Inferential Statistics

Inferential statistics are mathematical calculations performed to determine the probability of observing a certain result.  Inferential statistics are used to assess how likely the results from a smaller sample are a true representation of the larger population.  More about inferential statistics is available here.  

Common descriptive statistics used in IB Biology are: 
  • T-Test 
  • ANOVA 
  • Kruskal-Wallis 
  • Chi-Square Goodness of Fit 
  • Pearson's Correlation (bottom of the page) 
  • Spearman's Rank Correlation
  • ​Chi-Square Test of Independence

Students in IB biology are expected to have acquired competence in the areas of mathematics set out below in order to develop the knowledge, understanding and skills in the subject content.  All IB biology students should be able to:
  • Perform the basic arithmetic functions: addition, subtraction, multiplication and division.
  • Recognize basic geometric shapes.
  • Carry out simple calculations within a biological context involving means, decimals, fractions, percentages, ratios, approximations, reciprocals and scaling.
  • Use standard and scientific notation.
  • Recognize direct and inverse proportion.
  • Represent and interpret frequency data in the form of bar charts, column graphs, histograms and pie charts.
  • Determine the mean, mode and median of a set of data.
  • Plot and interpret graphs (with suitable scales and axes) involving two variables which show linear or non-linear relationships.
  • Plot and interpret scatter graphs to identify a correlation between two variables, and appreciate that the existence of a correlation does not establish a causal relationship.
  • Demonstrate sufficient knowledge of probability to understand how Mendelian ratios arise and to calculate such ratios using a Punnett grid.
  • Recognize and use the relationships between length, surface area and volume.​
I give many of my IB Biology resources away, for the benefit of students and teachers around the world. 
If you've found the materials helpful, please consider making a contribution of any amount
to this Earthwatch Expedition Fund or donating a puzzle to our classroom from our wish list.


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​please familiarize yourself with the 
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​​​It prohibits the use of any material on this site for commercial  purposes of any kind.  ​
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Picture
  • ⭐IB Bio Syllabus⭐
    • Unity and Diversity (A) >
      • A1 molecules >
        • A1.1: Water
        • A1.2: Nucleic Acids
      • A2 Cells >
        • A2.1: Origins of Cells
        • A2.2: Cell Structure
        • A2.3: Viruses
      • A3 Organisms >
        • A3.1: Diversity of Organisms
        • A3.2: Classification and Cladistics
      • A4 Ecosystems >
        • A4.1: Evolution and Speciation
        • A4.2: Conservation of Biodiversity
    • Form and Function (B) >
      • B1 Molecules >
        • B1.1: Carbohydrates and Lipids
        • B1.2: Proteins
      • B2 Cells >
        • B2.1 Membranes and Membrane Transport
        • B2.2 Organelles and Compartmentalization
        • B2.3 Cell Specialization
      • B3 Organisms >
        • B3.1 Gas Exchange
        • B3.2 Transport
        • B3.3 Muscle and Motility
      • B4 Ecosystems >
        • B4.1 Adaptation to Environment
        • B4.2 Ecological Niches
    • Interaction and Interdependence (C) >
      • C1 Molecules >
        • C1.1: Enzymes and Metabolism
        • C1.2: Cell Respiration
        • C1.3: Photosynthesis
      • C2 Cells >
        • C2.1: Chemical Signaling
        • C2.2: Neural Signaling
      • C3 Organisms >
        • C3.1: Integration of Body Systems
        • C3.2: Defense Against Disease
      • C4 Ecosystems >
        • C4.1 Populations and Communities
        • C4.2 Transfers of Energy and Matter
    • Continuity and Change (D) >
      • D1 Molecules >
        • D1.1: DNA Replication
        • D1.2: Protein Synthesis
        • D1.3: Mutation and Gene Editing
      • D2 Cells >
        • D2.1: Cell and Nuclear Division
        • D2.2: Gene Expression
        • D2.3: Water Potential
      • D3 Organisms >
        • D3.1: Reproduction
        • D3.2: Inheritance
        • D3.3: Homeostasis
      • D4 Ecosystems >
        • D4.1: Natural Selection
        • D4.2: Stability and Change
        • D4.3: Climate Change
    • Legacy Syllabus (2016) >
      • Core >
        • 1: Cell Biology >
          • 1.1: Introduction to Cells
          • 1.2: Ultrastructure of Cells
          • 1.3: Membrane Structure
          • 1.4: Membrane Transport
          • 1.5: The Origin of Cells
          • 1.6: Cell Division
        • 2: Molecular Biology >
          • 2.1: Molecules to Metabolism
          • 2.2: Water
          • 2.3: Carbohydrates and Lipids
          • 2.4: Proteins
          • 2.5: Enzymes
          • 2.6: DNA and RNA
          • 2.7: DNA Replication, Transcription and Translation
          • 2.8: Cell Respiration
          • 2.9: Photosynthesis
        • 3: Genetics >
          • 3.1: Genes
          • 3.2: Chromosomes
          • 3.3: Meiosis
          • 3.4: Inheritance
          • 3.5: Genetic Modification and Biotechnology
        • 4: Ecology >
          • 4.1: Species, Communities and Ecosystems
          • 4.2: Energy Flow
          • 4.3: Carbon Cycling
          • 4.4: Climate Change
        • 5: Evolution and Biodiversity >
          • 5.1: Evidence for Evolution
          • 5.2: Natural Selection
          • 5.3: Classification and Biodiversity
          • 5.4: Cladistics
        • 6: Human Physiology >
          • 6.1: Digestion and Absorption
          • 6.2: The Blood System
          • 6.3: Defense Against Infectious Disease
          • 6.4: Gas Exchange
          • 6.5: Neurons and Synapses
          • 6.6: Hormones, Homeostasis and Reproduction
      • Higher Level >
        • 7: Nucleic Acids >
          • 7.1: DNA Structure and Replication
          • 7.2: Transcription and Gene Expression
          • 7.3: Translation
        • 8: Metabolism, Cell Respiration & Photosynthesis >
          • 8.1: Metabolism
          • 8.2: Cell Respiration
          • 8.3: Photosynthesis
        • 9: Plant Biology >
          • 9.1: Transport in the Xylem of Plants
          • 9.2: Transport in the Phloem of Plants
          • 9.3: Growth in Plants
          • 9.4: Reproduction in Plants
        • 10: Genetics and Evolution >
          • 10.1: Meiosis
          • 10.2: Inheritance
          • 10.3: Gene Pools and Speciation
        • 11: Animal Physiology >
          • 11.1: Antibody Production and Vaccination
          • 11.2: Movement
          • 11.3: Kidney and Osmoregulation
          • 11.4: Sexual Reproduction
      • Options >
        • D: Human Physiology >
          • D.1: Human Nutrition
          • D.2: Digestion
          • D.3: Functions of the Liver
          • D.4: The Heart
          • D.5: Hormones and Metabolism
          • D.6: Transport of Respiratory Gases
  • IB Requirements
    • Learner Profile
    • Collaborative Sciences Project
    • External Assessment
    • Internal Assessment >
      • Research Design
      • Analysis
      • Conclusion
      • Evaluation
    • Extended Essay
  • Exam Revision
    • Revision Tools
  • Skills for Biology
    • Tools >
      • Experimental Techniques >
        • Addressing Safety
        • Measuring Variables >
          • Lab Drawings
          • Measurement Uncertainty
        • Techniques >
          • Microscopy
      • Technology >
        • Graphing with Excel
      • Mathematics >
        • Statistics >
          • Glossary of Statistic Terms and Equations
          • Descriptive Statistics >
            • Skew and the Normal Distribution
            • Outliers
            • Measures of Central Tendancy
            • Measures of Spread
            • Pearson Correlation
          • Inferential Statistics >
            • T-Test
            • ANOVA
            • Kruskal-Wallis
            • X2 Test for Independence
            • X2 Goodness of Fit
        • Graphing >
          • Interpreting Error Bars
    • Inquiry Processes >
      • Exploring & Designing >
        • Research Questions
        • Hypotheses and Predictions
        • Varaibles
        • Sampling
      • Collecting & Processing Data >
        • Data Tables
      • Concluding & Evaluating >
        • Error Analysis
  • SHS Course Info
    • Above & Beyond >
      • Biology Club
      • Pumpkin Carving
      • Scavenger Hunt
      • Science News
      • Wood Duck Project (legacy)
      • Invasive Crayfish Project (legacy)
    • Assessment >
      • Class Grading IB Bio I
      • Class Grading IB Bio II
      • Daily Quizzes (legacy)
      • Lab Practicals (legacy)
    • Class Photos
    • Recommendations
  • Contact
  • About
    • Philosophy
    • Resume
    • Reflection
    • Favorite Quotes
    • AEF Blog
  • Expeditions
    • Bahamas (2009)
    • Trinidad (2010)
    • Trinidad (2011)
    • Ecuador (2012)
    • Trinidad (2013)
    • Peru (2014)
    • Bahamas (2015)
    • Peru (2016)
    • Costa Rica (2017)
    • Costa Rica (2018)
    • Arizona (2022)
    • Florida (2023)
    • Belize (2024)
    • Costa Rica (2025)
  • Summer Ecology Research
  • Teacher Resources