My 22 months old baby boy weighs 11kgs but I don't know his height. What is the normal weight and height of babies at this age? He is very playfull.

Reference. You can check norms for height/ weight using growth charts. See: https://www.cdc.gov/growthcharts/index.htm.
See below. For his age, 11 kg puts him in the 15th %ile; 15th %ile for height at that age would be 82 cm. Average (50%ile for 22-mo-old is 86 cm and 12.4 kg interactive chart at following site can let u calculate these as needed: http://www.Medcalc.Com/growth/ just fill in the numbers/dates.