Question

Use the normal distribution of heights of adult​ women, which has a mean of 169 centimeters and a standard deviation of 7 ​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 176 centimeters is ______ ​%.

Standard score	​%	Standard score	​%
minus−3.0	0.13	0.1	53.98
minus−2.5	0.62	0.5	69.15
minus−2	2.28	0.9	81.59
minus−1.5	6.68	1	84.13
minus−1	15.87	1.5	93.32
minus−0.9	18.41	2	97.72
minus−0.5	30.85	2.5	99.38
minus−0.1	46.02	3	99.87
0	50.00	3.5	99.98

Answer 1

The percentage of heights less than 176 centimeters is 84.13 %.