A food restaurant in Australia received samples weighed in grams, with the supplier ensuring each patty weighs 114 grams. Compare the scales to determine which is more accurate, which is more precise, and which is the better scale.

Scale A

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

Scale B

[Provide data for Scale B if available]

- Accuracy: Determines how close the measurements are to the true value (114 grams).
- Precision: Indicates how consistently the scale measures.
- Better Scale: Depends on both accuracy and precision.

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.

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.