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Hospital Patients BMI and Age Analysis

XAT 2021 · Quantitative Ability & Data Interpretation · Medium · Data Interpretation

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Passage / data set

Read the following scenario and answer the three questions that follow.

The plot describes the height (in cm), weight (in kg), age (in years) and gender (F for female, M for male) of 20 patients visiting a hospital.

A person's body mass index (BMI) is calculated as weight (in kg) divided by squared height (measured in square metres). For example, a person weighing 100 kg and of height 100 cm (1m) will have a BMI of 100. A person with BMI less than or equal to 18.5 is considered as underweight, above 18.5 but less than or equal to 25 as normal weight, above 25 but less than or equal to 30 as overweight, and above 30 as obese.

Question 1 of 3

The average age of the female patients who weigh 50 kg or above is approximately

  1. A.

    62

  2. B.

    65

  3. C.

    68

  4. D.

    70

  5. E.

    Cannot be determined from the given data

Answer

A

Explanation

From the scatter plot, female patients with weight ≥50\ge 50 kg have ages: 50, 50, 60, 70, 80. Sum = 310. Average = 310/5=62310 / 5 = 62.

Question 2 of 3

The highest BMI among all patients is approximately

  1. A.

    20

  2. B.

    33

  3. C.

    30

  4. D.

    27

  5. E.

    23

Answer

D

Explanation

Highest BMI requires max weight and min height. From the plot, max weight with small height is 69 kg at 1.6 m. BMI=691.62=692.56≈27\text{BMI} = \frac{69}{1.6^2} = \frac{69}{2.56} \approx 27.

Question 3 of 3

The BMI of the oldest person considered as normal weight is approximately

  1. A.

    20

  2. B.

    25

  3. C.

    22

  4. D.

    24

  5. E.

    19

Answer

A

Explanation

Oldest person (age 80) has weight 40 kg and height 1.5 m. BMI=401.52=402.25≈17.77\text{BMI} = \frac{40}{1.5^2} = \frac{40}{2.25} \approx 17.77. Next oldest normal weight person (age 70) has weight 61 kg, height 1.75 m   ⟹  BMI≈19.9≈20\implies \text{BMI} \approx 19.9 \approx 20.

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