Jumping to Conclusions (Pun totally not intended)

Here's a story an old high school Math teacher told me:

Before the age of PETA, a scientist wanted to conduct an experiment regarding frogs and the distances they can leap. So he got himself a frog, told it to jump, and recorded how far it could leap. He cut off one leg, yelled, "Jump!" and noted that the frog now leaped a shorter distance. He cut off a second leg, yelled, and the frog leaped an even shorter distance. He cut off the third leg, yelled, and noted that the frog leaped yet a shorter distance. He cut off the fourth leg, yelled, "Jump!" and concluded the frog became deaf.