Question

Using a specific method, your calculated density of aluminum is d1 = 2.75 g/cm3. Using a different method, your calculated density d2 = 2.67 g/cm3. Calculate the percentage difference between the two methods (TWO DECIMAL PLACES).

Answer 1

Answer:

The percentage difference between the two methods is 2.95%.

Step-by-step explanation:

The percentage difference is the difference between two values divided by the average of the two values. Shown as a percentage.

The difference means to subtract one value from another and the average is given by

$average=\frac{first \:value+second \:value}{2}$

Given

$d_1 = 2.75 \:{g/cm^3}\\d_2 = 2.67 \:{g/cm^3}$

The difference is $2.75-2.67=0.08$

The average is $\frac{2.75+2.67}{2} =2.71$

And the percentage difference is

$\frac{0.08}{2.71} \times100\%=2.95\%$