Can you tell me about the average height/weight/bmi for a 10 year 8 month Asian girl?

Body mass index. There's a wide range of normal for weight & height that depends upon age, gender, ethnicity and other variables including nutritional status. Check out http://www.mayoclinic.org/bmi-calculator/itt-20084938 for a starting point. Also http://www.webmd.com/parenting/raising-fit-kids/weight/bmi/bmi-calculator. Finally, we talk in terms of BMI percentile in reference to kids so http://goo.gl/DP6uuv.