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91Ó°ÊÓ

Explain the meaning of the following percentiles. Source: National Center for Health Statistics. (a) The 5 th percentile of the weight of males 36 months of age is \(12.0 \mathrm{~kg}\). (b) The 95 th percentile of the length of newborn females is \(53.8 \mathrm{~cm}\)

Short Answer

Expert verified
5% of 36-month-old males weigh less than 12.0 kg. 95% of newborn females are shorter than 53.8 cm.

Step by step solution

01

Understand Percentiles

Percentiles divide a dataset into 100 equal parts. Each percentile indicates the value below which a given percentage of observations fall.
02

Evaluate the 5th Percentile for Weight

The 5th percentile means that 5% of the data is below this value. For the age of 36 months, 5% of males weigh less than 12.0 kg.
03

Evaluate the 95th Percentile for Length

The 95th percentile means that 95% of the data is below this value. For newborn females, 95% have a length less than 53.8 cm.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Percentile Calculation
Percentiles are a way to divide a dataset into 100 equal parts, providing a clear way to understand the distribution of data. Each percentile represents a value below which a certain percentage of observations fall.
For example, the 5th percentile indicates that 5% of observations fall below that value, while the 95th percentile indicates that 95% of observations fall below it.
To calculate a specific percentile, you can arrange the data from smallest to largest and then identify the value at the desired percentile position.
Use the formula:
\(\text{Percentile} = n \times \frac{P}{100}\)
where \(n\) is the number of observations and \(P\) is the desired percentile.
Data Interpretation
Understanding percentiles can help you interpret data effectively. They provide a snapshot of where a particular value stands in relation to the rest of the dataset.
This can be particularly useful in fields like healthcare, education, and finance to compare individual performance against a broader population.
For instance, knowing that a 36-month-old male is at the 5th percentile for weight can indicate that he is lighter than 95% of his peers.
Similarly, a newborn female at the 95th percentile for length is taller than 95% of newborns.
Percentiles can thus help identify outliers and trends within data, facilitating better decision-making.
Weight Percentiles
Weight percentiles are often used in healthcare to track growth and development, particularly in children.
The 5th percentile for weight means that 5% of the observed population of males aged 36 months weigh less than 12.0 kg.
This can be a crucial metric for pediatricians to assess whether a child is within a healthy weight range or might require further medical evaluation.
It helps in identifying if the child's growth pattern is in line with their peers, and can be used to track changes over time.
It's important to always consider other factors such as genetics, health conditions, and nutrition when interpreting these percentiles.
Length Percentiles
Length percentiles, on the other hand, usually refer to the height or length measurements of infants and young children.
The 95th percentile for the length of newborn females at 53.8 cm indicates that these girls are taller than 95% of their peers.
These metrics are valuable for pediatricians and parents to monitor a child’s growth trajectory.
Just like weight percentiles, length percentiles enable healthcare professionals to assess if a child’s growth is within the expected range.
A higher or lower percentile might warrant further investigation to ensure the child's health and well-being.
Factors like nutrition, parental height, and overall health can impact these measurements.
National Center for Health Statistics
The National Center for Health Statistics (NCHS) provides reliable data and statistics for health-related indicators in the United States.
Percentile growth charts for children are one of the many tools they offer to help monitor and assess public health.
These charts are developed from large datasets collected from national health surveys, ensuring they are representative and accurate.
Health professionals use NCHS data to make informed decisions and set health policies.
The data covers various aspects of health, including weight, length, and other key pediatric growth indices.
Relying on NCHS ensures that the information is both credible and useful for tracking health trends over time.

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Most popular questions from this chapter

Mensa is an organization designed for people of high intelligence. One qualifies for Mensa if one's intelligence is measured at or above the 98 th percentile. Explain what this means.

It is well documented that active maternal smoking during pregnancy is associated with lower-birth-weight babies. Researchers wanted to determine if there is a relationship between paternal smoking habits and birth weight. The researchers administered a questionnaire to each parent of newborn infants. One question asked whether the individual smoked regularly. Because the survey was administered within 15 days of birth, it was assumed that any regular smokers were also regular smokers during pregnancy. Birth weights for the babies (in grams) of nonsmoking mothers were obtained and divided into two groups, nonsmoking fathers and smoking fathers. The given data are representative of the data collected by the researchers. The researchers concluded that the birth weight of babies whose father smoked was less than the birth weight of babies whose father did not smoke. $$ \begin{array}{lll|lll} &{\text { Nonsmokers }} & &&{\text { Smokers }} \\ \hline 4194 & 3522 & 3454 & 3998 & 3455 & 3066 \\ \hline 3062 & 3771 & 3783 & 3150 & 2986 & 2918 \\ \hline 3544 & 3746 & 4019 & 4216 & 3502 & 3457 \\ \hline 4054 & 3518 & 3884 & 3493 & 3255 & 3234 \\ \hline 4248 & 3719 & 3668 & 2860 & 3282 & 2746 \\ \hline 3128 & 3290 & 3423 & 3686 & 2851 & 3145 \\ \hline 3471 & 4354 & 3544 & 3807 & 3548 & 4104 \\ \hline 3994 & 2976 & 4067 & 3963 & 3892 & 2768 \\ \hline 3732 & 3823 & 3302 & 3769 & 3509 & 3629 \\ \hline 3436 & 3976 & 3263 & 4131 & 3129 & 4263 \\ \hline \end{array} $$ (a) Is this an observational study or a designed experiment? Why? (b) What is the explanatory variable? What is the response variable? (c) Can you think of any lurking variables that may affect the results of the study? (d) In the article, the researchers stated that "birthweights were adjusted for possible confounders \(\ldots .\) "What does this mean? (e) Determine summary statistics (mean, median, standard deviation, quartiles) for each group. (f) Interpret the first quartile for both the nonsmoker and smoker group. (g) Draw a side-by-side box plot of the data. Does the side-byside boxplot confirm the conclusions of the study?

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