A student determines the density of a liquid by two methods.

Method 1

1. The student measures the weight of a solid object in air using a forcemeter. The reading is $W_1=2.4N$.
2. The student records the initial volume $V_1$ of the liquid in a measuring cylinder: $V_1=125{cm}^3$.
3. The student lowers the object into the liquid so that it is completely submerged.
4. The new reading of the forcemeter is $W_2=1.6N$.
5. The new reading of the measuring cylinder with the submerged object is $V_2=205{cm}^3$.

Calculate the first value ${\rho }_1$ of the density of the liquid using the equation:

$${\rho }_1=\frac{W_1-W_2}{V_2-V_1}\times k$$

where $k=100g/N$.

Method 2

1. The student removes the object and places the measuring cylinder containing only the liquid on a balance. The balance reads $193.2g$.
2. Record this mass $m_1$ of the cylinder and liquid to the nearest gram.
3. The student then pours the liquid out and measures the mass of the empty measuring cylinder as $m_2=70g$.

Calculate the second value ${\rho }_2$ for the density of the liquid using the equation:

$${\rho }_2=\frac{m_1-m_2}{V_1}$$

Finally, calculate the average density ${\rho }_{AV}$ of the liquid using your values for ${\rho }_1$ and ${\rho }_2$. State your final answer with appropriate units.