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Given a table of student weights and heights, verify the calculation of their Body Mass Index (BMI).

Mathematics

ScanSolve AI Answer

Step-by-step solution

3 steps
  1. Understand the Body Mass Index (BMI) formula.

    The Body Mass Index (BMI) is calculated using the formula:

    BMI=Weight (kg)Height (m)2\text{BMI} = \frac{\text{Weight (kg)}}{\text{Height (m)}^2}
  2. Verify the "Height in meter squared (m²)" column.

    For each student, the "Height in meter squared (m²)" value is calculated by squaring their "Height (m)". All values in this column are correctly calculated and rounded to two decimal places from the "Height (m)" column. For example, for Student 1:

    (1.75 m)2=3.0625 m2≈3.06 m2(1.75 \text{ m})^2 = 3.0625 \text{ m}^2 \approx 3.06 \text{ m}^2
  3. Calculate and verify the "Body Mass Index (BMI)" column.

    We will calculate the BMI for each student using their weight and the provided height squared value, rounding to one decimal place as in the original table.

    • Student 1: 75 kg3.06 m2=24.509...≈24.5\frac{75 \text{ kg}}{3.06 \text{ m}^2} = 24.509... \approx 24.5. (Matches table)
    • Student 2: 64 kg2.37 m2=27.004...≈27.0\frac{64 \text{ kg}}{2.37 \text{ m}^2} = 27.004... \approx 27.0. (Matches table)
    • Student 3: 59 kg2.49 m2=23.694...≈23.7\frac{59 \text{ kg}}{2.49 \text{ m}^2} = 23.694... \approx 23.7. (Table shows 23.6, which is a slight rounding difference, but acceptable)
    • Student 4: 68 kg2.62 m2=25.954...≈26.0\frac{68 \text{ kg}}{2.62 \text{ m}^2} = 25.954... \approx 26.0. (Table shows 25.9, which is a slight rounding difference, but acceptable)
    • Student 5: 58 kg2.37 m2=24.472...≈24.5\frac{58 \text{ kg}}{2.37 \text{ m}^2} = 24.472... \approx 24.5. (Table shows 22.3, which is incorrect)
    • Student 6: $\frac{53 kg}{2.6
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