Given the height and weight of four students, calculate their BMI and determine the percentage of students…

Question

Given the height and weight of four students, calculate their BMI and determine the percentage of students who are obese.

ScanSolve AI Tutor · Accepted Answer

Here is the completed table with the calculated "Height in meter squared (m²)" and "Body Mass Index (BMI)":

Student 1:
- Height squared: $(1.75 \text{ m})^2 = 3.0625 \text{ m}^2 \approx 3.06 \text{ m}^2$
- BMI: $\frac{75 \text{ Kg}}{3.0625 \text{ m}^2} = 24.49 \text{ Kg/m}^2 \approx 24.5 \text{ Kg/m}^2$
Student 2:
- Height squared: $(1.54 \text{ m})^2 = 2.3716 \text{ m}^2 \approx 2.37 \text{ m}^2$
- BMI: $\frac{64 \text{ Kg}}{2.3716 \text{ m}^2} = 26.98 \text{ Kg/m}^2 \approx 27.0 \text{ Kg/m}^2$
Student 3:
- Height squared: $(1.58 \text{ m})^2 = 2.4964 \text{ m}^2 \approx 2.50 \text{ m}^2$
- BMI: $\frac{59 \text{ Kg}}{2.4964 \text{ m}^2} = 23.63 \text{ Kg/m}^2 \approx 23.6 \text{ Kg/m}^2$
Student 4:
- Height squared: $(1.62 \text{ m})^2 = 2.6244 \text{ m}^2 \approx 2.62 \text{ m}^2$
- BMI: $\frac{63 \text{ Kg}}{2.6244 \text{ m}^2} = 24.00 \text{ Kg/m}^2 \approx 24.0 \text{ Kg/m}^2$

Here is the corrected table:

\begin{array}{|c|c|c|c|c|} \hline \textbf{Student} & \textbf{Height (m)} & \textbf{Weight (Kg)} & \textbf{Height in meter squared (m²)} & \textbf{Body Mass Index (BMI) (Kg/m²)} \\ \hline 1 & 1.75 & 75 & 3.06 & 24.5 \\ 2 & 1.54 & 64 & 2.37 & 27.0 \\ 3 & 1.58 & 59 & 2.50 & 23.6 \\ 4 & 1.62 & 63 & 2.62 & 24.0 \\ \hline \end{array}

d) What percentage of students are obese?

Define obesity.
Obesity is generally defined as having a Body Mass Index (BMI) of 30 Kg/m² or higher.
Check the BMI for each student.
- Student 1: BMI = 24.5 Kg/m²
- Student 2: BMI = 27.0 Kg/m²
- Student 3: BMI = 23.6 Kg/m²
- Student 4: BMI = 24.0 Kg/m²
Count the number of obese students.
None of the students have a BMI of 30 Kg/m² or higher.
Number of obese students = 0.
Calculate the percentage of obese students.
$\text{Percentage of obese students} = \frac{\text{Number of obese students}}{\text{Total number of students}} \times 100\%$ $\text{Percentage of obese students} = \frac{0}{4} \times 100\% = 0\%$
The percentage of students who are obese is \boxed{\text{0%}}.

6) Graph the group results on the graph paper to show the relationship between human body heights with weight. (When graphing the results use different symbols for Males and Females because Male and Female height and weight differ).

To graph the relationship between height and weight, follow these steps:
1. Set up the Axes:
  
  Draw a horizontal x-axis and label it "Height (m)".
  
  Draw a vertical y-axis and label it "Weight (Kg)".
2. Scale the Axes:
  
  Determine the range of heights (1.54 m to 1.75 m) and weights (59 Kg to 75 Kg).
  
  Choose appropriate scales for both axes so that all data points fit and the graph is well-spread. For example, the x-axis could start at 1.50 m and the y-axis at 50 Kg.
3. Plot the Data Points:
  
  For each student, plot a point where their height on the x-axis intersects with their weight on the y-axis.
  
  The question specifies using different symbols for Males and Females. Since the gender of the students is not provided in the table, you would need this information to apply this instruction. For example, you could use a circle (•) for male students and a square (▪) for female students.
4. Add a Title and Legend:
  
  Give your graph a clear title, such as "Relationship between Student Height and Weight".
  
  If you used different symbols for gender, include a legend to explain what each symbol represents.

Given the height and weight of four students, calculate their BMI and determine the percentage of students who are obese.

Answer

Step-by-step solution

Define obesity.

Check the BMI for each student.

Count the number of obese students.

Calculate the percentage of obese students.

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