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Firefighter Math: 9.2 Precision

Precision is an indicator of how close the repeated measurements are to each other. The precision of a measurement refers to the smallest unit with which a measurement can be made.

Example 1 - Find the precision of Gabe's measured the length of hose connector: 2.1 ft, 2.2 ft, and 2.2 ft.

Step 1. Subtract the measurements from each other.
2.1 - 2.2 = -0.1

The precision of the measurement is ±0.1 feet.

Firefighter Math: 9.1 Accuracy

Accuracy is a gauge of how close the measured value is to the true value. The accuracy of a measurement refers to the number of significant digits. See Section 1.6.

Example 1 - Gabe is measuring a length of connector hose. He measures it three times. The values he gets are 2.1 feet, 2.2 feet, and 2.2 feet. The actual value is 2.15 feet. How accurate are Gabe's three measured values?

Step 1. The accuracy of the measurements is the difference between the true value and the measured value.
2.15 - 2.1 = 0.05

Firefighter Math: 6.1 Bearing

A bearing provides a direction given as the primary compass direction (north or south), degree of angle, and an east or west designation. A bearing describes a line as heading north or south, and deflected some number of degrees toward the east or west. A bearing, therefore, will always have an angle less than 90°.

Example 1 - Megan starts at a point and goes in the direction shown in the figure below. What is her bearing?

Megan is in the NE quadrant. The primary compass direction is north. Count the degrees down from North, for a total of 70°. 

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