Practice Measurement in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

Measurement is the process of assigning numerical values to attributes of objects or events according to a defined rule or scale.

To measure is to quantify—turning 'how much' or 'how many' into a number.

Example 1

easy
A ruler measures a pencil as 14.7 cm. The ruler has markings to the nearest 0.1 cm. Explain measurement error and determine the range of true values.

Example 2

medium
A scale consistently reads 0.5 kg too high (systematic error). A second scale gives variable readings due to vibration (random error). Explain the difference and how each affects measurements.

Example 3

easy
Five measurements of the same object yield: \{10.2, 10.3, 10.1, 10.4, 10.2\} grams. Calculate the mean and comment on the precision of the measurement process.

Example 4

hard
A thermometer reads the boiling point of water as 99.2°C at sea level (true value: 100°C). If 10 repeated readings give mean 99.2°C with SD=0.3°C, identify the type(s) of error and suggest how to address each.
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