Final answer:
True, if a woman is at the 97.5 percentile for height, she is taller than 97.5% of the population. Percentiles rank individuals based on the percentage of the population below a specific value within a normal distribution or bell curve.
Step-by-step explanation:
If a woman falls at the 97.5 percentile, her height is greater than 97.5% of the population. The correct option is: Option 1: True. In percentile terms, if a person is at the 97.5th percentile for height, it means that their height is greater than or equal to 97.5% of the relevant population. This is often visualized on a bell curve, which is a graphical depiction of a normal distribution, where the bulk of the data falls near the mean and tails off towards the extremes.
Heights are a form of quantitative continuous data, which can be measured and placed on a continuous scale. When discussing percentiles in the context of heights, we are typically assuming a normal distribution unless otherwise specified. This statistical concept allows us to quantify how an individual's height compares to the rest of the population. The term 'percentile' refers to the percentage of scores in a distribution that a particular score is greater than or equal to.