# Data Interpretation – The following plot describes the height

## XAT 2021 Exam Paper – Data Interpretation – The following plot describes the height

Read the following scenario and answer the three questions that follow. The following 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.
Q. The average age of the female patients who weigh 50 kg or above is approximately
1. 62
2. Cannot be determined from the given data
3. 68
4. 70
5. 65

Solutions:
Ages of different females who weight 50 kg or more are 50, 50, 70, 60 and 80.
Thus average age= (50+50+70+60+80)/5 = 310/5 = 62

Q. The highest BMI among all patients is approximately
1. 33
2. 27
3. 23
4. 20
5. 30

Solutions:
As BMI = weight /(squared height in m^2)
Thus the person whose weight /height ratio will be maximum will have highest BMI.
And from the graph , we can see this ratio is maximum for a person whose weight is 69 kg and height is 160 cm or 1.6 m.
Thus BMI = 69/1.6*1.6 = 69/2.56 = 26.95 = 27 (approx)

Q. The BMI of the oldest person considered as normal weight is approximately
1. 24
2. 20
3. 25
4. 22
5. 19

Solutions:
As BMI = weight /(squared height in m^2)
Thus the person whose weight /height ratio will be maximum will have highest BMI.
BMI of oldest person = 61/1.75*1.75 = 19.9
Thus the correct answer = 20

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