Five restaurants, coded $\text{R1, R2, R3, R4}$ and $\text{R5}$ gave integer ratings to five gig workers - Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of $1$ to $5$. The means of the ratings given by $\text{R1, R2, R3, R4}$ and $\text{R5}$ were $3.4,2.2,3.8,2.8$ and $3.4$ respectively.
The summary statistics of these ratings for the five workers is given below.
\begin{array}{||l||l||l||l||l||l||}
\hline & \text{Ullas} & \text{Vasu} & \text{Waman} & \text{Xavier} & \text{Yusuf} \\
\hline \hline \text{Mean rating} & 2.2 & 3.8 & 3.4 & 3.6 & 2.6 \\
\hline \hline \text{Median rating} & 2 & 4 & 4 & 4 & 3 \\
\hline \text{Modal rating} & 2 & 4 & 5 & 5 & 1 \text{and} 4 \\
\hline \hline \text{Range of rating}* & 3 & 3 & 4 & 4 & 3 \\
\hline
\end{array}
*Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of $1$ and $5$ awarded by the restaurants to the workers.
- $\text{R1}$ awarded a rating of $5$ to Waman, as did $\text{R2}$ to Xavier, $\text{R3}$ to Waman and Xavier, and $\text{R5}$ to Vasu.
- $\text{R1}$ awarded a rating of $1$ to Ullas, as did $\text{R2}$ to Waman and Yusuf, and $\text{R3}$ to Yusuf.
What is the median of the ratings given by $\mathrm{R} 3$ to the five workers?