No they have an extoskeleton
No. All mantids including praying mantises are insects. They are invertibrates as their skeletal system is external. This type of bone structure is called an extoskeleton. Reptiles have internal bones and a similar skeletal system to humans.
The mustang horse is no different than any other horse if you're discussing vertebrae or invertebrae. All horses are vertebrae but how many bones are in the spine depends on the breed. An animal is a vertebrate if they have a backbone/spine. So usually, any creature that has a skeleton is a vertebrate. Invertebrates don't have a backbone and usually have what is known as an extoskeleton (outer skeleton), such as insects or crabs. Therefore, the mustang is a horse and horses have spines = vertebrate.
Any type of skeleton requires multiple cells to harden and support the animal. An amoeba is an invertebrate and a one-celled creature that barely has a cell wall. It surrounds its food with its body and then digests it. It has neither endo- or exoskeleton.
Frogs do not have an exoskeleton. Frogs have an endoskeleton. They actually have bones that form a skeleton around which their body is built. On the outside they have skin through which they are capable of absorbing oxygen dissolved in water. A link is provided to a really cool picture of a frog's skeleton posted at Wikipedia. Surf on over and have a look!