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Measurement, Units, and Data Analysis

Manual: General · Subject: General Science

Learn how scientists quantify the world and interpret data reliably.

Why Measurement Matters

From estimates to evidence

Scientific claims are strongest when they are supported by measurements. Units make quantities meaningful, and careful data handling helps distinguish real patterns from noise.

Common SI units

QuantityUnitSymbol
Lengthmeterm\text{m}
Masskilogramkg\text{kg}
Timeseconds\text{s}
TemperaturekelvinK\text{K}
CurrentampereA\text{A}
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Precision and accuracy

Accuracy tells you how close a measurement is to the true value. Precision tells you how consistent repeated measurements are.

Working with data

  1. 1

    Step 1: Record values with correct units.

  2. 2

    Step 2: Identify patterns using tables or graphs.

  3. 3

    Step 3: Calculate averages or rates when appropriate.

  4. 4

    Step 4: Check for anomalies and possible sources of error.

  5. 5

    Step 5: State conclusions in terms of evidence and uncertainty.

A student repeatedly measures a mass as 10.1 g10.1\,\text{g}, 10.0 g10.0\,\text{g}, and 10.1 g10.1\,\text{g}. The measurements are best described as:

What does the slope of a distance-time graph represent?

Types of error

Random error

  • Causes scatter in repeated measurements
  • Often reduced by averaging
  • May come from unpredictable fluctuations

Systematic error

  • Shifts measurements in one direction
  • Often caused by faulty calibration or method
  • Can make results consistently wrong

Which unit is most appropriate for measuring temperature in scientific work?

Why should every numerical result include a unit?