Significant digits and rounding

Significant digits and rounding

The number of digits reported for a quantity should reflect its precision and trustworthiness. For example:

  • if a document is reporting the range in leaf length for a species, and many measurements have been taken in tenths of centimetres, give the range in tenths of centimetres
  • weights measured with a scale accurate to 0.1 g should be reported in tenths of grams, not hundredths of grams
  • percentages based on small sample sizes (<100) should be reported as whole numbers; expressing them to 1 decimal place probably has little scientific value and can be distracting to the reader.

Calculated values (eg means) based on raw measurements should be reported to a maximum of 1 significant digit past the accuracy of the original measurement:

Raw measurements for leaf length: 5.4 cm, 3.8 cm, 5.5 cm, 4.9 cm, 5.1 cm

Mean: 4.94 cm

When rounding a number to a certain number of significant digits, leave the digit unchanged if the digit to the right of the last significant digit is below 5, but increase it by 1 if the digit to the right of the last significant digit is equal to or above 5. For a number rounded to 3 significant digits:

9.542   becomes   9.54    

9.548   becomes   9.55    

9.555   becomes   9.56

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