Question

The dotplot shows the body mass index (BMI) for 141 randomly surveyed people from a certaincountrya. A BMI of more than 40 is considered morbidly obese. Report the number of morbidly obese shown inthe dotplot.b. Report the percentage of people who are morbidly obese. Compare this with a recent estimate that3% of people from the country were morbidly obese.

Answer 1

The number of morbidly obese people from the graph is

The nuber of morbidly obese people having bmi greater than 40 is

`\begin{gathered} 3+3+2+1+1+2=12 \\ 12\text{ people are morbidly obese} \end{gathered}`

B find the % of morbidly obese people.

`\begin{gathered} \text{percentage =}\frac{\text{number of morbidly obese people}}{\text{total number of people}}\ast100 \\ =(12)/(141)\ast100\ast \\ =8.5 \end{gathered}`

8.5 % people are morbidly obese

C. Compare both the percentages

`\begin{gathered} \text{The recent estimate is 3 percent.} \\ \text{The difference between present and recent estimate is } \\ 8.5-3=5.5\text{percent} \end{gathered}`

As per the present estimate, the number of morbidly obese people have increased by 5.5% compared to a recent estimate.