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  • Calculating Temperature Uncertainty: A Practical Guide

    By John Brennan | Updated Mar 24, 2022

    Photo by Jay_Zynism via iStock/GettyImages

    Every temperature measurement carries a degree of uncertainty. Whether you’re using a digital probe or a classic mercury tube, the instrument’s precision and your observation method determine how tightly you can pin down a value.

    Step 1

    Place the thermometer’s sensing element against the object whose temperature you wish to record.

    Step 2

    For digital devices, watch the display while it stabilizes. If the reading oscillates, the uncertainty equals the full range of the fluctuation. For example, a temperature that swings between 20.12 °C and 20.18 °C has an uncertainty of ±0.06 °C.

    Step 3

    If the digital display remains steady, treat the final digit as the uncertain element. A reading of 36.12 °C therefore carries an uncertainty of ±0.01 °C, reflecting the precision of the last place.

    Step 4

    When using a mercury or alcohol column, estimate the temperature to the nearest mark you can discern. Reading to the nearest 0.1 °C yields an uncertainty of ±0.1 °C; if you can only read to the nearest 0.5 °C, the uncertainty expands to ±0.5 °C. The key is to match the uncertainty to the instrument’s resolution.

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