Question

Student A

1. 3.20 grams/ML
2. 2.58 grams/mL
3. 2.10 grams/mL
Mean 2.63 grams/mL
Student B
2.82 grams/mL
2.48 grams/mL
2.59 grams/mL
2.63 grams/mL
Which student measured density with the greatest precision?Explain your answer

Answer 1

Student B measured density with greater precision as their values are more consistent and closely grouped compared to Student A's values, which have a larger variation.

Step-by-step explanation:

To determine which student measured density with the greatest precision, we must compare the variation of the density measurements each student made. Precision refers to the closeness of two or more measurements to each other, not necessarily how close they are to the actual value (which would be accuracy).

Student A's measurements are 3.20, 2.58, and 2.10 grams/mL with a mean of 2.63 grams/mL. The variation here is larger compared to Student B's measurements, which are more tightly grouped around the mean (2.82, 2.48, and 2.59 grams/mL with a mean of 2.63 grams/mL).

Therefore, Student B measured density with greater precision because their measurements are more consistent with each other.