/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q 5. Growth charts We used an online ... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

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

She is taller than 78% of females, yet she only weighs 48% more than girls, thus she will most likely be much leaner.

Step by step solution

01

Step 1. Given

A 16-year-old girl stands at 66 inches tall. A 16-year-old girl's weight is 118 pounds. The girl is in the 48th percentile for weight and the 78th percentile for height, according to the chart.

02

Step 2. Concept

A score in the 95th percentile is a figure on a scale of 100 that represents the percent of a distribution that is equal to or below it.

03

Step 3. Explanation

The height and weight are 66inches and 118pounds, respectively.

The girl's weight is in the 48thpercentile, and her height is in the 78thpercentile.

The girl's height is66inches, and 78%of girls are shorter than 66inches because she is in the 78thpercentile. Her height is above average at the 78thpercentile, indicating that she is a growing girl. The girl's weight is 118pounds, and she is in the 48thpercentile, which means she is lighter than 48%of girls her age. Her weight is in the 48thpercentile, indicating that she is slightly underweight. She will most likely be a woman because she is taller than 78%of females but only weighs 48%more.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

3. What percent of young women have heights between 62 and 72 inches? Show your work.

Light it up! The graph below is a cumulative relative frequency graph showing the lifetimes (in hours) of 200 lamps.

(a) Estimate the 60th percentile of this distribution. Show your method.

(b) What is the percentile for a lamp that lasted 900 hours?

Normal is only approximate: ACT scores Scores on the ACT test for the 2007 high school graduating class had mean 21.2and standard deviation 5.0. In all, 1,300,599students in this class took the test. Of these, 149,164had scores higher than 27and another 50,310had scores exactly 27. ACT scores are always whole numbers. The exactly Normal N(21.2,5.0)distribution can include any value, not just whole numbers. What’s more, there is no area exactly above 27under the smooth Normal curve. So ACT scores can be only approximately Normal. To illustrate this fact, find

(a) the percent of 2007ACT scores greater than 27.

(b) the percent of 2007ACT scores greater than or equal to 27.

(c) the percent of observations from theN(21.2,5.0) distribution that are greater than 27. (The percent greater than or equal to 27 is the same, because there is no area exactly over 27.)

Brent is a member of the school’s basketball team. The mean height of the players on the team is 76 inches. Brent’s height translates to a z-score of −0.85 in the team’s height distribution. What is the standard deviation of the team members’ heights?

Python eggs (1.1) How is the hatching of water python eggs influenced by the temperature of the snake’s nest? Researchers assigned newly laid eggs to one of three temperatures: hot, neutral, or cold. Hot duplicates the extra warmth provided by the mother python, and cold duplicates the absence of the mother. Here are the data on the number of eggs and the number that hatched:

(a) Make a two-way table of temperature by outcome (hatched or not).

(b) Calculate the percent of eggs in each group that hatched. The researchers believed that eggs would not hatch in cold water. Do the data support that belief?

See all solutions

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.