Among American women aged 20-29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 inches and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution. Use empirical rule to explain answer.

You are expected to use a z-score table to find how many standard deviations correspond to having 10% outside the bounds. It is like having 68% within 1σ. The table interpolates.

I'm sorry I looked everywhere and I still cannot find how to calculate with the data provided. I'm new to stats so any help is appreciated, if there is any more information let me know and I could solve it.

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

x = 3 ± √(5+y)