Question

Food restaurant in Australia. The samples were weighed in grams, and the supplier has ensured that each patty weighs 114 grams. Which scale is more accurate? Which is more precise? Which is the better scale?

Scale A Scale B
113 112 115 115 113 118 116 116 115 116
114 115 114 116 114 114 115 115 116 116
115 116 112 114 115 115 116 117 116 115
114 112 113 113 114 117 117 116 117 118
113 114 115 114 114 114 114 116 116 117

Answer 1

Scale A is more accurate, as its measurements are closer to the actual weight of 114 grams, while Scale B is more precise, due to its measurements being more consistent. The better scale depends on whether the user values accuracy or precision more for their application.

Step-by-step explanation:

In determining the accuracy and precision of the two scales, we must look at how closely the measured weights match the promised weight of 114 grams and the consistency of the measurements. Accuracy refers to how close the measurements are to the actual value, while precision relates to how consistent the measurements are with each other, regardless of the actual value.

For Scale A, the weights are: 113, 115, 113, 116, 114, 115, 114, 114, 115, 114, 113, 115, 114. Scale A's measurements are generally closer to the target weight of 114 grams, suggesting it is more accurate. Scale B's weights are: 112, 118, 116, 116, 116, 115, 117, 117, 116, 117, 118, 112, 113. Scale B's measurements are less variable and more consistent with each other, indicating higher precision but lower accuracy due to deviating more from the target weight. The better scale depends on the needs of the user. If the requirement is to have a weight as close as possible to the target weight, Scale A is preferable for its accuracy. However, for applications where consistency is crucial even if it deviates from the actual weight, Scale B's precision could be more valuable.