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📊 Sec 2 · Reasoning & Data

Scientific Reasoning
& Data Skills

These skills appear in every Sec 2 paper regardless of topic. Master observation vs inference, anomaly handling, and graph analysis before anything else.

Core concepts

1. Observation vs Inference

An observation is what you directly detect with your senses or instruments — something you can point to in the data. An inference is an interpretation or conclusion you draw from those observations. Examiners mark these separately and penalise mixing them.

Worked example
  • Observation: "The liquid turned blue-black when iodine solution was added."
  • Inference: "Starch is present in the liquid."
  • Observation: "The temperature rose from 22 °C to 35 °C over 5 minutes."
  • Inference: "An exothermic reaction occurred."
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Common trap: When a question says "State what you observe," write only what is directly seen, heard, or measured — never explain why. Adding "because…" to an observation answer costs marks.

2. Variables — IV, DV and Controlled

Example — testing how temperature affects enzyme activity
  • IV: temperature of water bath (°C)
  • DV: time for starch to be fully digested (seconds)
  • CVs: volume of amylase solution (e.g. 2 cm³), concentration of starch solution (1%), pH of solution (pH 7)

A good hypothesis: "If [IV] increases, then [DV] will [increase/decrease] because [reason based on science]."

3. Precision, Accuracy, Reliability & Validity

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Common trap: Confusing precision with accuracy. A balance not zeroed before use gives consistently wrong readings — precise but inaccurate. Repeating won't fix it.

4. Types of Error

Examples
  • Random: stopwatch reaction time varies ±0.2 s each trial
  • Systematic: thermometer always reads 1.5 °C too high due to calibration fault
  • Parallax: reading a meniscus from above — always records too high a volume

5. Identifying & Handling Anomalies

An anomalous result is one that clearly does not fit the pattern of the other results. Steps to handle correctly:

  1. Identify which reading is anomalous (state the actual value).
  2. State a plausible reason (parallax error, contamination, misread timer, equipment fault).
  3. Exclude it from the mean calculation — but keep it visible in the table and mark it clearly.
  4. State that the mean was calculated from the remaining consistent readings only.
Mean = Sum of valid readings ÷ Number of valid readings
Worked example

Readings: 21.0 cm, 21.2 cm, 27.9 cm, 21.1 cm
Anomaly: 27.9 cm (significantly higher than others — possible parallax error).
Mean = (21.0 + 21.2 + 21.1) ÷ 3 = 21.1 cm (rounded to same d.p. as readings)

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Common trap: Silently dropping an anomaly or including it in the mean without comment. Examiners expect an explicit reason for any excluded value.

6. Describing Graph Trends

Step-by-step structure

  1. State the overall relationship (positive/negative correlation, directly proportional, no relationship, levels off).
  2. Describe the nature of the trend (linear, non-linear/curved, steep then flattening).
  3. Quote specific values with units from the graph to support your description.
  4. Note any anomalous points or changes in gradient.

Useful language

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Common trap: "X goes up so Y goes up." Too vague — no marks. You must state the direction, nature (linear or curved), and cite at least two data points with units.

7. Correlation vs Causation

Two variables may correlate (rise or fall together) without one causing the other. A confounding variable — a third factor — may be causing changes in both.

Classic example

Ice cream sales and drowning rates both rise in summer. Conclusion: ice cream causes drowning? No — the confounding variable is hot weather, which independently causes both.

To establish causation, you need a controlled experiment where only the IV is changed. Survey or observational data alone cannot prove causation.

Always end correlation-based conclusions with: "This shows a correlation only. A controlled experiment is needed to establish causation."

8. Evaluating a Conclusion

For any given conclusion, ask:

9. Suggesting Improvements

Always link each improvement to the specific problem it solves:

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Common trap: Saying "repeat the experiment" without specifying how many times or what you're improving. Always state the number and the reason.

10. Command Words — quick reference

Worked practice questions

Practice Q1

Four readings of volume are: 12.1 cm³, 12.0 cm³, 18.9 cm³ and 12.2 cm³. (a) Identify the anomalous result and suggest a reason. (b) Calculate the correct mean.

Answer

(a) 18.9 cm³ is anomalous — it is significantly higher than the other three consistent readings. Possible reason: parallax error when reading the measuring cylinder, or a contaminated sample.

(b) Mean = (12.1 + 12.0 + 12.2) ÷ 3 = 12.1 cm³

Practice Q2

A student claims that students who eat breakfast score higher in exams, based on a survey of 200 students. Evaluate this claim.

Answer

The claim cannot be established from survey data alone — this shows a correlation, not causation. Confounding variables such as family income, sleep habits, or general health may independently explain both breakfast eating and exam performance. A controlled experiment would be needed to establish causation. The sample size of 200 is reasonable, but the survey method cannot control for other variables.

Practice Q3

A graph shows reaction rate (y-axis) vs temperature (x-axis). The curve rises steeply from 10 °C to 37 °C, then falls sharply above 40 °C. Describe the trend and explain the fall.

Answer

Describe: Reaction rate increases as temperature rises from 10 °C to 37 °C, reaching a maximum at 37 °C (optimum temperature). Above 37 °C, reaction rate decreases sharply, falling toward zero by approximately 50 °C.

Explain: Above the optimum temperature, the enzyme begins to denature — the active site permanently changes shape, so the substrate can no longer bind. Enzyme activity falls as more enzyme molecules are denatured.

Practice Q4

A student measures pulse rate before and after exercise. Name two variables that must be controlled, and explain why she should repeat measurements three times.

Answer

Controlled variables (any two): type and intensity of exercise (e.g. same running speed on a treadmill); duration of exercise; time of day measurements are taken; rest period before measurement; age and fitness level of the participant.

Why repeat: Repeating three times and calculating the mean reduces the effect of random error (e.g. slight variation in how rested the student is) and improves the reliability of the results.

Must-know checklist