Among the given options, the only animal that lays eggs and does not give birth to live young is the Echidna. Echidnas are monotremes, which are a group of mammals that lay eggs instead of giving birth to live young like most mammals. The female echidna lays one egg at a time and then incubates it in a pouch on her belly. After hatching, the baby echidna, called a puggle, stays in the pouch and feeds on milk produced by specialized mammary glands. Eventually, the puggle will grow and develop spines like its parent. Unlike echidnas, kangaroos, porcupines, and whales are all placental mammals, meaning they give birth to live young after a gestation period. Therefore, the correct answer is option 1, Echidna.