1. What is Buddhism?

Seated Buddha
The first statue is a classical representation of the the Buddha, the founders of Buddhism, whose name was Siddhartha Gautama (born around the second half of the 5th century BCE), in seated position while is explaining his teaching.

A Preaching Buddha Central Tibet, 16th-17th century Sculpture Brass alloy with paint Los Angeles County Museum of Art http://www.lacma.org

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Standing Buddha
The second Statue depict the same subject in standing position, and it is an exquisite example of the so-called Gandhara Buddhist Art.

Buddha Shakyamuni
Pakistan, Gandhara region, 2nd-early 3rd century Sculpture Gray schist
Los Angeles County Museum of Art
http://www.lacma.org

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Map of Buddhism distribution

Map of Buddhism distribution

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This map shows the regions in which Buddhism is prevalent, divided by its three main branches: Theravada, presumably the oldest surviving form of Buddhism; Mahayana, the predominant in East and Far East Asia; and Vajrayana, which sometimes is classified as a part of Mahayana.

Source
http://en.wikipedia.org/wiki/Schools_of_Buddhism#mediaviewer/File:Buddhist_sects.png