Q.Compute the Body Mass Index of a student who weighs 78 kg and is 1.60 m tall. Classify the result, and explain why BMI alone can misclassify a heavily muscled athlete.
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Start your 14-day free trial to unlock the full solution →The student's BMI is 30.47 kg/m², classified as Obese under WHO criteria. BMI cannot distinguish muscle from fat, so a muscular athlete may be wrongly flagged as overweight or obese despite low body fat.
Calculation
BMI = (Weight (kg))/([Height (m)]²)
Given:
- Weight = 78 kg
- Height = 1.60 m
Step-by-step:
-
Square the height:
(1.60)² = 2.56 m²
-
Divide weight by height squared:
BMI = 78/2.56 = 30.46875 kg/m²
-
Round to two decimal places:
BMI = 30.47 kg/m²
Classification (WHO international adult bands):
| BMI Range (kg/m²) | Category |
|---|---|
| < 18.5 | Underweight |
| 18.5 – 24.9 | Normal |
| 25.0 – 29.9 | Overweight |
| ≥ 30.0 | Obese |
Since 30.47 ≥ 30.0, the student falls into the Obese category.
The Asian/Indian (ICMR) cut-offs are lower: overweight begins at 23.0 and obesity at 25.0. Under those criteria this student would also be classified as obese. Because the question does not specify, I have applied the WHO international bands.
Why BMI Alone Can Misclassify a Heavily Muscled Athlete
BMI is a ratio of total body mass to height. It makes no distinction between the sources of that mass—fat, muscle, bone, or water. An athlete who carries substantial lean muscle will weigh more than a sedentary person of the same height, pushing the BMI into the overweight or even obese range, despite having a low percentage of body fat and excellent cardiovascular health. …
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