This is an exercise in computing z-scores and determining the resultant percentile.
Step 1. Compute the z-score:
z = (x-μ)/σ
where x = your data point = 72, μ = the mean = 65, σ = the standard deviation = 3.5. The z-score tells you how many standard deviations your data point (x) is from the mean. Positive z scores are greater than the mean, negative ones are less than the mean.
Step 2. Look up your z-score in a z-score table. You can find one in your text or on-line, The value you get from the z-score table is the percent of the data less than your data point. It is also the probability that the person is 72 inches or less. Since you want 72 inches or more, subtract the percent from 1.
