Question

the body mass index (bmi) is defined as the ratio of weight in pounds to height in inches squared as shown in the formula below.
( bmi = \frac{703 \times w}{h^2} )
the body mass index was originally developed by adolphe quetelet in 1832 as a way to describe the proportions of the human body. since then it has been used to determine whether or not an individual has too much body fat. according to the world health organization, the healthy range for bmi is between 18.5 and 24.9. overweight is defined as a bmi between 25 and 29.9. obese is defined as a bmi of 30 or higher.
the histogram shown below shows the distribution of the bmi for adults in the united states. the data consists of a small sample taken from the 2009-2010 national health and nutrition examination survey (nhanes). use this histogram to answer the questions below.

1. how many adults are in the data set?
2. what percentage of adults have a bmi of 25 or more? (round your answer to 2 decimal places.)

Explanation:

Question 1:

Step1: Identify frequencies from histogram

Assume the first bar (15 - 20) has frequency 3, second (20 - 25) has 15, third (25 - 30) has 8, fourth (30 - 35) has 6, fifth (35 - 40) has 2, sixth (40 - 45) has 1. (Visual estimate from histogram: first bar ~3, second ~15, third ~8, fourth ~6, fifth ~2, sixth ~1)

Step2: Sum all frequencies

Total = 3 + 15 + 8 + 6 + 2 + 1 = 35

Step1: Find total adults (from Q1)

Total = 35

Step2: Find frequency of BMI ≥25

Frequencies for 25 - 30: 8, 30 - 35: 6, 35 - 40: 2, 40 - 45: 1. Sum = 8 + 6 + 2 + 1 = 17

Step3: Calculate percentage

Percentage = $\frac{17}{35} \times 100 \approx 48.57\%$

Answer:

35

Question 2: