15 month old standards..

I can't remember that far back ;) but I know you can do a search for toddler milestones and see what comes up.

My dd is 14mo. She can repeat a lot of sounds says a few words in context. Can push buttons. Can pat a baby doll and kiss. Knows what no means. Plays with others a bit. Can sign more. She understands simples processes like opening/closing drawers. Climbing on things to reach stuff. Starting to help put toys away. Knows the names of a few rooms.

Running, walking, climbing, waving, up to 20wirds, mastered pincher grip, feeds self, understands no, understands a 1 step command, follows a 1 step command 50% if time...

Lol my son listens maybe 1% of the time.. But I know he understands me

Quoting mommaFruFru:

Running, walking, climbing, waving, up to 20wirds, mastered pincher grip, feeds self, understands no, understands a 1 step command, follows a 1 step command 50% if time...

you can do a developmental milestone check list on the internet based on age! It's on average what most kids that age can do! It will give you a list of things to talk to your doctor about if your child is not doing certain things that should raise a concern! From doing this recently and my son is also 15 months old... They should be able to climb point focus on something that you point at, walk maybe run, feed themselves, be shy or nervous around strangers, notice/ cries when mom or dad leaves, shows a sense of fear, repeating sounds or actions for attention, can reach out an arm or leg to help with dressing, plays simple games such as patty-cake, responds to simple requests, simple gestures such as shaking head no or waving bye, explores, looks at correct object when mentioned, copies you, learns to use things correctly such as a phone or hairbrush, can put things in a container, follows simple directions,

Here is one website that will give you a few of the milestones...

 www.parentingweekly.com/baby/baby_informatioin/toddler_dev_12_15_mos.htm

Hope this helps

If I recall, baseline vocabulary for a 15 month old is saying about 8 to 10 words. If they are around other kids, 15 to 16 months is when some of the pushing and hitting can start to appear. 

Quoting mommaFruFru:

Running, walking, climbing, waving, up to 20wirds, mastered pincher grip, feeds self, understands no, understands a 1 step command, follows a 1 step command 50% if time...