AC9M10M04Year 10MeasurementPractised on site

AC9M10M04 — Year 10 Measurement

Official Curriculum Content Description:

identify the impact of measurement errors on the accuracy of results in practical contexts

Worked Examples (1)

Example 1Limits of Accuracy & Measurement Errors

A quantity is measured as

14.9\text{ cm}

with reading precision to the nearest 0.1 cm. Find the lower limit of the true measurement in

\text{cm}

Common mistake: Subtracting the full precision interval instead of half the interval.

Correct Answer:

14.85\text{ cm}

Accepted: A unit is optional (cm accepted).

Worked Solution:

1. Absolute error:

\frac{1}{2} \times 0.1\text{ cm} = 0.05\text{ cm}

. 2. Lower bound =

14.9 - 0.05 = 14.85

(

14.85\text{ cm}

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