There are a variety of tools available--many of them open source--to help you turn your data into a visualization, or simply to explore other people's visualizations.
Tableau is a data visualization and analytics package that enables users to connect to a variety of data sources and explore the data in a simplified way. The drag and drop interface make it very easy to visualize and create interactive dashboards without any programming skills.
Excel is a powerful tool for getting meaning out of vast amounts of data. It offers a library of chart and graph types to help users transform their spreadsheet data into charts and graphs.
ArcGIS Desktop includes two applications that are used for mapping and visualization:ArcMap and ArcGIS Pro.
Gephi is a free software for visualizing networks, comprised of "nodes" and "edges". The main website hosts official tutorials and also links to popular community-developed tutorials.
D3.js is a JavaScript library for producing dynamic, interactive data visualizations in web browsers. It is ideal for people who want to develop some JavaScript Porgramming skills, D3 offers great power and flexibility.
Timeline JS is a free, easy-to-use tool for creating interactive timelines using Google Sheets.