IB Physics SL Inquiry 3 — Concluding & Evaluating Internal Assessment Random vs systematic errors ~9 min read

Evaluating the Method

The evaluation is where you turn a critical eye on your own experiment. Not to apologise for it — to show you understand why it behaved the way it did. You’ll pin down specific sources of error, separate the random from the systematic, weigh up your method’s weaknesses and limits, and propose fixes that could actually be done in a school lab. This is often the highest-scoring section of an IA, and the one where “human error” quietly loses marks.

📘 What you need to know

Evaluate the hypothesis

Start by looping back to your hypothesis, following on from your conclusion. Even when the data supported it, judge how strong that support really is in light of the errors you found. For instance: the data backed the claim that resistance is proportional to length — but a y-intercept that didn’t pass through the origin hints at a systematic error, which slightly weakens the confirmation of the theoretical model. That kind of honest nuance scores well.

Random vs systematic errors

Identifying and discussing errors is the most important part of the evaluation — and the first job is telling the two types apart, because they behave differently and are fixed differently.

RANDOM error scattered → poor precision SYSTEMATIC error shifted → poor accuracy
Random error scatters points around the true value; systematic error shifts a tight cluster consistently to one side.

Random errors

Random errors are unpredictable variations that happen by chance, scattering results around the true value and harming precision. Classic examples: fluctuating reaction time when starting and stopping a stopwatch; parallax when reading an analogue scale from an angle; a reading error from a ruler marked only in centimetres.

You minimise random error by taking repeat trials and averaging, measuring over many intervals (like timing 20 oscillations and dividing), and using a more precise instrument with finer divisions.

repeat & average
 
time many swings
 
finer instrument
→ all cut →
random error

Systematic errors

Systematic errors are flaws in the method or apparatus that push every reading the same way — always too high or always too low — harming accuracy. Examples: an uncorrected zero error on a balance or ammeter that offsets every reading; not accounting for heat loss in a thermal experiment, which always makes the measured temperature change too small.

You reduce systematic error by recalibrating the apparatus, switching to different apparatus, or correcting the method itself. On a graph, a systematic error shows up as a line that’s offset from the origin — parallel to where it should be, but shifted.

offset measured values expected valuesquantity 2 quantity 1
A systematic error keeps the gradient but lifts the whole line off the origin — the constant offset is the tell.

Weaknesses, limitations, and assumptions

Beyond errors, three related ideas deserve separate treatment — they’re often muddled together, but each means something distinct.

🧭 Three things to discuss — kept apart

  1. Weaknesses — aspects of the method that cause significant errors. E.g. timing a single swing of a pendulum, where the short period makes reaction-time error huge.
  2. Limitations — factors that bound how far your conclusion applies. E.g. only testing up to 1.00 m, so you can’t claim T2L holds for very long pendulums.
  3. Assumptions — simplifications in your calculations that aren’t perfectly true. E.g. assuming air resistance is negligible and the string is massless.

Close the loop: Weakness → Impact → Improvement

This is the structure examiners look for. For every weakness you name, explain its impact on your final result, then propose a specific improvement that fixes it. An improvement must be relevant (it addresses the actual weakness) and realistic (you could do it in a normal school lab — a bomb calorimeter doesn’t count).

Weakness
→ causes →
Impact on result
→ fixed by →
Improvement
Quick recap: evaluate the hypothesis honestly, separate random (scatter) from systematic (shift) errors, keep weaknesses / limitations / assumptions distinct, and close every loop with a relevant, realistic fix.
WE 1

In a pendulum experiment to find g, the length was measured to the bottom of the bob, not its centre of mass. Evaluate this as Weakness → Impact → Improvement.

Weakness (systematic) length measured to the bob’s bottom, not its centre Impact measured L is consistently too long since T ∝ √L, every period comes out a bit large → calculated g is systematically too high Improvement (relevant + realistic) measure to the geometric centre of the bob add half the bob’s diameter (vernier callipers) to the string length
WE 2

In the same experiment, the period was found by timing 20 swings with a manual stopwatch. Evaluate this weakness and its fix.

Weakness (random) human reaction time starting/stopping the stopwatch Impact adds scatter to the measured times visible as error bars and points scattered around the line of best fit — a precision problem, not an accuracy one. Improvement use a light gate at the bottom of the swing automatically times the period, removing reaction-time error

💡 Top tips

⚠ Common mistakes

That completes Inquiry 3: Concluding & Evaluating — and with it, the whole Scientific Inquiry Cycle. You can now run an investigation end to end: explore and design it, collect and process the data, interpret and conclude, then evaluate it with a clear-eyed, specific critique. That’s exactly the arc a top-band IA follows.

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