Explore the impact of algorithms on our daily lives in this 49-minute lecture by mathematician David Sumpter at The Royal Institution. Delve into the world of fake news, social media scandals, and psychological warfare to understand the true influence of algorithms on human behavior. Examine the statistical validity of algorithms used by companies like Cambridge Analytica and their ability to categorize and influence individuals. Learn about principle component analysis, Facebook advertising categories, personality models, and the challenges surrounding fake news and echo chambers. Investigate the role of artificial intelligence and consider the positive aspects of algorithmic advancements in our increasingly digital world.