Question

consider the density data in the table at right.
the sample is thought to be silver, density = 10.49 g/cm³.
what is the range of the data?
trial # density (g/cm³)
1 10.34
2 10.58
3 10.62
average 10.51
0.28 g/cm³
0.093 g/cm³
10.51 g/cm³
0.110 g/cm³

Explanation:

Step1: Recall the formula for range

The range of a set of data is calculated as the difference between the maximum value and the minimum value in the dataset. The formula is \( \text{Range} = \text{Maximum value} - \text{Minimum value} \).

Step2: Identify the maximum and minimum values from the data

From the table, the density values for the trials are 10.34 g/cm³, 10.58 g/cm³, and 10.62 g/cm³.

• The minimum value among these is 10.34 g/cm³.
• The maximum value among these is 10.62 g/cm³.

Step3: Calculate the range

Using the formula for range, we substitute the maximum and minimum values:
\( \text{Range} = 10.62 - 10.34 \)
\( \text{Range} = 0.28 \) g/cm³.

Answer:

0.28 g/cm³