Q 7. Growth charts We used an online ... [FREE SOLUTION]

91影视

The Practice of Statistics for AP Examination

Daren Starnes, Josh Tabor

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 837 pages

ISBN: 9781319113339

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 $48 t h$ percentile for weight and the $78 t h$ percentile for height. Explain what these values mean in plain English.

Short Answer

Expert verified

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

Step by step solution

Given information

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

Concept

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

Explanation

The girl's weight is in the $48 t h$ percentile, which implies she is heavier than $48$ percent of all $16 -$ year-old girls. A height in the $78 t h$ percentile indicates that the girl is taller than $78$ percent of all $16 -$ year-old girls.