Web Designing - Designing a website means taking brief from the client and working of the basic structure. It involves managing the information , placement of pictures etc. Designer should be responsible for making the information accessible and easy to understand along with its visual experience of the information provided. Design is about typography, color and other principles involves.
Web Development - Developer builds site from bottom up that means designing it in such a format that users have no trouble browsing the site. For this, design developers uses such technologies like HTML, CSS and JavaScript for design front and back-end to get the data from the DB Java/PHP/.net to get the data from the database.