Examples

BMI — Worked Examples

5 real worked examples for the BMI calculator. See how we solve common scenarios with full step-by-step math.

1

Adult with normal BMI

Scenario

A 30-year-old woman, 165 cm tall, 60 kg.

Inputs

Height
165 cm (1.65 m)
Weight
60 kg

Calculation steps

  1. BMI = weight / height²

    The standard formula.

  2. BMI = 60 / (1.65)²

    Plug in the values.

  3. BMI = 60 / 2.7225

    Square the height.

  4. BMI = 22.04

    Final result.

Result

BMI = 22.04 → Normal weight (18.5–24.9)

2

Overweight adult

Scenario

A 45-year-old man, 178 cm tall, 95 kg.

Inputs

Height
178 cm (1.78 m)
Weight
95 kg

Calculation steps

  1. BMI = 95 / (1.78)²
  2. BMI = 95 / 3.1684
  3. BMI = 29.98

Result

BMI = 29.98 → Overweight (25–29.9), borderline obese

3

Underweight teen (use percentile for <20)

Scenario

A 16-year-old girl, 162 cm tall, 42 kg. Note: teens need age/sex percentiles.

Inputs

Height
162 cm (1.62 m)
Weight
42 kg
Age
16
Sex
Female

Calculation steps

  1. BMI = 42 / (1.62)²
  2. BMI = 42 / 2.6244
  3. BMI = 16.00
  4. BMI-for-age percentile: 5th percentile (underweight)

    CDC chart lookup.

Result

BMI = 16.00 → 5th percentile (Underweight)

4

Athlete with high BMI but low body fat

Scenario

A 28-year-old male bodybuilder, 180 cm tall, 95 kg, with 12% body fat.

Inputs

Height
180 cm (1.80 m)
Weight
95 kg
Body fat
12%

Calculation steps

  1. BMI = 95 / (1.80)²
  2. BMI = 95 / 3.24
  3. BMI = 29.32
  4. Lean mass: 95 × (1 − 0.12) = 83.6 kg

    Calculating fat-free mass.

  5. Body fat % suggests this is high muscle, not obesity.

    BMI is misleading for athletes.

Result

BMI = 29.32 (overweight category), but body composition shows athletic build. Use body fat % or DEXA scan for accurate assessment.

5

Older adult with healthy BMI but muscle loss

Scenario

A 72-year-old woman, 162 cm tall, 58 kg. Same BMI as the 30-year-old above.

Inputs

Height
162 cm (1.62 m)
Weight
58 kg
Age
72

Calculation steps

  1. BMI = 58 / (1.62)²
  2. BMI = 58 / 2.6244
  3. BMI = 22.10
  4. Sarcopenia risk: same BMI, but muscle mass typically 20-30% lower than at 30.

    Aging reduces lean mass.

Result

BMI = 22.10 (normal), but with age-related muscle loss, body fat % may be 30%+. Combine BMI with waist circumference for better insight.

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