A grocery store sells 5-lb bags of apples. You purchase four bags over the course of a
Question:
A grocery store sells 5-lb bags of apples. You purchase four bags over the course of a month and weigh the apples each time. You obtain the following measurements:
Week 1 weight: 4.8 lb
Week 2 weight: 5.3 lb
Week 3 weight: 4.9 lb
Week 4 weight: 5.4 lb
You determine that the weight of the 5-lb bag has an uncertainty of ± 0.4 lb. What is the percent uncertainty of the bag's weight?
Strategy
First, observe that the expected value of the bag’s weight, A , is 5 lb. The uncertainty in this value,δA , is 0.4 lb. We can use the following equation to determine the percent uncertainty of the weight:
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