You have the right to never make exact measurements in one experiment (even the atom clock isn’t exact: it loses a second every 15 exchange rate years). How far away native the “mark” you space is explained by accuracy and just how well you measure up is explained by precision.

You are watching: Which is the more precise measurement

Accuracy

Accuracy is how close you space to the true value. because that example, let’s say you know your true height is precisely 5’9″.

You measure up yourself with a yardstick and also get 5’0″. Her measurement is no accurate. You measure up yourself again through a laser yardstick and also get 5’9″. Her measurement is accurate.

Note: The true value is sometimes referred to as the theoretical value.

Precision

Precision is just how close two or more measurements are to each other. If you continuously measure your elevation as 5’0″ v a yardstick, your dimensions are precise.

Accuracy of evaluation and Precision Together

If you room precise, that doesn’t necessarily median you are accurate. However, if you are continuously accurate, you are likewise precise.

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“More” Precise

If you desire to call which collection of data is an ext precise, uncover the range (the difference between the highest and lowest scores). Because that example, let’s to speak you had the complying with two to adjust of data:

Sample A: 32.56, 32.55, 32.48, 32.49, 32.48.Sample B: 15.38, 15.37, 15.36, 15.33, 15.32.

Subtract the shortest data suggest from the highest:

Sample A: 32.56 – 32.48 = .08.Sample B: 15.38 – 15.32 = .06.

Sample B has actually the lowest variety (.06) and also so is the much more precise.

More Examples

Accurate and also precise: If a weather thermometer reads 75oF outside and also it really is 75oF, the thermometer is accurate. If the thermometer repetitively registers the exact temperature for numerous days in a row, the thermometer is also precise.Precise, yet not accurate: A refrigerator thermometer is review ten times and also registers levels Celsius as: 39.1, 39.4, 39.1, 39.2, 39.1, 39.2, 39.1, 39.1, 39.4, and also 39.1. However, the genuine temperature inside the frozen refrigerator is 37 levels C. The thermometer isn’t precise (it’s almost two degrees off the true value), but as the numbers room all close come 39.2, that is precise.

References

Dodge, Y. (2008). The Concise Encyclopedia the Statistics. Springer.Gonick, L. (1993). The Cartoon guide to Statistics. HarperPerennial.

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