An investigation of the topological properties of the real-world electricity distribution networks was conducted using real network data that was collected from China, covering urban and sub-urban areas. The study was focused on the 10kV level of the distribution networks. The networks have been modelled as graphs with nodes representing substations, distribution transformers, switches, busbars and consumer locations of the network, and edges standing for the connections between the nodes through underground (UG) cables and overhead (OH) distribution line segments. Since, the collected real-world network data set includes the actual geographical location of the electrical components in a map, the information about nodes were extracted with x, y coordinates. Hence, the edges were represented using start and end x, y coordinates. Therefore, the extracted topological structure of each 10kV network sample is available in the data set as a connection matrix. Connection matrix has four columns; start_x coordinate, start_y coordinate, end_x coordinate and end_y coordinate. A row in a connection matrix corresponds to one edge in a specific network. Connection matrices were used to analyse the topological properties of the networks and also it was used to re-create the network layouts for visualizing purposes.