Question

Which set of data shows an accurate but not precise measurement for theoretical value of 5 grams?

a. 5 g, 4 g, 3 g, 6 g, 7 g
b. 5 g, 5 g, 4 g, 4 g, 5 g
c. 1 g, 2 g, 3 g, 2 g, 4 g
d. 2 g, 2 g, 2 g, 2 g, 2 g

Answer 1

The data set a. 5 g, 4 g, 3 g, 6 g, 7 g represents measurements that are accurate but not precise for the theoretical value of 5 grams.

Step-by-step explanation:

The set of data that shows accurate but not precise measurement for a theoretical value of 5 grams is a. 5 g, 4 g, 3 g, 6 g, 7 g. Accuracy refers to how close measurements are to the true or accepted value, while precision refers to how close the measurements are to each other. In this set, the measurements average around 5 grams, which indicates accuracy, but they are spread apart, which demonstrates a lack of precision. On the other hand, set d. 2 g, 2 g, 2 g, 2 g, 2 g is an example of precise but not accurate measurements, as they are very close to each other but not around the true value of 5 grams.

Answer 2

b. 5 g, 5 g, 4 g, 4 g, 5 g

Step-by-step explanation:

Accurate data is data that is close to the true or expected value, while precise data is data that is consistent and has a small spread or deviation. In this case, the set of data that shows an accurate but not precise measurement for the theoretical value of 5 grams is b. 5 g, 5 g, 4 g, 4 g, 5 g.

This set of data is accurate because all of the measurements are close to the theoretical value of 5 grams. However, the measurements are not precise because they have a large spread or deviation, with some measurements being as low as 4 grams and others being as high as 5 grams.