Question

Your true height is 70.2 inches. A laser device at a health clinic that gives measurements to thenearest hundredth reads your height as 71.05 inches. A tape measure gives reading to the nearest haftinches gives your height as 69.5 inches. State which measurement is more precise and which measurementis more accurate and explain why.

Answer 1

Accuracy = Tape measurement.

Precision = Laser measurement

Explanation:

Given that :

True height, = 70.2 inches

Laser measured height = 71.05 (nearest hundredth)

Tape measured height = 69.5 - nearest half inch.

Accuracy simply means how close a measured value is to the true value of the measurement. ;

True height - tape measurement

70.2 - 69.5 = 0.7

True measurement - laser measurement :

|70.2 - 71.05| = 0.85

Fron the difference in the values, the measurement which is closer to the true height is the tape measurement.

However, in terms of detail in the measured value, the laser measure value is expressed to the nearest hundredth, hence giving it more precision over the tape measured value.