Chapter 2, Problem 1SE

Body Mass Index The Dotplot shows body mass index r (BMI) for 134 people according to the National Health and Nutrition Examination Survey (NHANES) in 2010, as reported in U.S.A Today.

a. A B U or more than 40 is considered morbidly obese. Report the number of morbidly obese

shown in the dotplot.

b. report the percentage of people who are morbidly obese. Compare this with an estimate from

2005 that 3% of people in the United Stated as that time were morbidly obese.

To determine

Determine the number of morbidly obese people from the dot plot.

Answer to Problem 1SE

The number of morbidly obese people is $11$.

Explanation of Solution

According to the provided details, a person is considered to be morbidly obese if the Body Mass Index (BMI) of a person is above $40$. The provided Dot plot shows the Body Mass Index of $134$ people.

The number of people having the Body Mass Index (BMI) above $40$ can be calculated by counting the number of dots on the right side of $40$. Therefore, the number of morbidly obese people is $11$.

To determine

Determine the percentage of people who are morbidly obese in $2010$ and compare it with the percentage of people who were morbidly obese in $2005$.

Answer to Problem 1SE

The percentage of people who are morbidly obese in $2010$ is about $8.2\%$, which is higher than the percentage of people in $2005$.

Explanation of Solution

The provided details show that, in $2005$, $3\%$ of the people in U.S were morbidly obese.

From the dot-plot that provides the data of the U.S. for the year 2010, the number of people who were morbidly obese is $11$ and the total number of people in the survey is $134$.

The percentage of people who are morbidly obese can be calculated as:

$\begin{array}{c}\left(\begin{array}{l}\text{Percentage}\text{of}\text{people}\\ \text{who were}\text{morbidly obese}\end{array}\right)=\left(\frac{\text{Number}\text{of}\text{people}\text{who}\text{were}\text{morbidly obese}}{\text{Total}\text{Number}\text{of}\text{people}}\right)\times 100\\ =\left(\frac{11}{134}\right)\times 100\\ =\left(0.082\right)\times 100\\ =8.2\%\end{array}$

Therefore, the required percentage is $8.2\%$.

This indicates that there is an increase in the percentage of people who were morbidly obese in 2010, as the percentage has increased from $3\%$ (in 2005) to $8.2\%$.