Measurements & Uncertainty

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Systematic Errors

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Textbook page 560

14 Terms

1

Systematic Errors

Measurement errors in which the measurements differ from the true values by a consistent amount each time a measurement is made.

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2

Random errors

Measurement errors in which measurements vary unpredictably and can happen when any measurement is being made.

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3

Zero Error

The reading is not zero on a measuring device when the quantity being measured is zero (the device is faulty). This is a type of systematic error.

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4

2 potential reasons for random errors

  • factors that are not controlled in the experiment

  • difficulty in deciding on the reading given by a measuring device.

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5

2 potential reasons for systematic errors

  • the way in which measurements are taken

  • faulty measuring devices.

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6

True Value

The value that would be obtained in an ideal measurement.

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7

Measurement Error

The difference between a measured value and the true value for the quantity being measured.

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8

Precision

How close repeated measurements are to each other - the closer they are to each other, the more precise the measurement is.

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9

Accuracy

How close a measurement result is to the true value - the closer it is, the more accurate it is.

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10

Uncertainty in a measurement

The interval within which the true value can be expected to lie.

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11

Absolute uncertainty in the mean of a measurement

Approximated as half the range. This is often expressed as ± value.

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12

Percentage uncertainty in the mean of a measurement

calculated from its absolute uncertainty and mean value as follows: % uncertainty in diameter = (absolute uncertainty) / (mean value) Ă— 100

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13

Absolute uncertainty

Uncertainty in a measurement expressed as a numberical value.

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14

Percentage Uncertainty

Uncertainty of a measurement expressed as a percentage of the recorded value.

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