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Chapter 2: Q 7. (page 105)

Growth charts We used an online growth chart to find percentiles for the height and weight of a 16-year-old girl who is 66 inches tall and weighs 118 pounds. According to the chart, this girl is at the 48th percentile for weight and the 78th percentile for height. Explain what these values mean in plain English.

Short Answer

Expert verified

48percentile for weight means the girl is overweight 48%of all 16-year-old girls. A 78percentile for height means the girl is taller than 78% of all 16-year-old girls.

Step by step solution

01

Given information

66 inches tall and 118 pounds is the height and weight of a 16-year-old female. This girl is in the 48th percentile for weight and the 78th percentile for height, according to the chart.

02

Concept

The percentile of an individual is the percentage of the distribution that is less than the data value of the individual.

03

Explanation

The girl's weight is in the 48th percentile, which implies she is heavier than 48 percent of all 16-year-old girls. A height in the 78th percentile indicates that the girl is taller than 78 percent of all 16-year-old girls.

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Quick, click! An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject clicks “Start.” The density curve models the amount of time the subject has to wait for the light to flash.

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