Use the normal distribution of heights of adult women, which has a mean of 167 centimeters and a standard deviation of 99 centimeters, and the following table with the standard scores and percentiles for a normal distribution to find the indicated quantity.

The percentage of heights less than 171.5 centimeters is:

Full data set
Standard Scores and Percentiles for a Normal Distribution (cumulative values from the left)
Standard score	%	Standard score	%
minus3.0	0.13	0.1	53.98
minus2.5	0.62	0.5	69.15
minus2	2.28	0.9	81.59
minus1.5	6.68	1	84.13
minus1	15.87	1.5	93.32
minus0.9	18.41	2	97.72
minus0.5	30.85	2.5	99.38
minus0.1	46.02	3	99.87
0	50.00	3.5	99.98