CAN ANYONE HELP ME
In the given table the patients of different age groups admitted in a hospital are listed. What is the mean of the given data
A 39.71
B 10.89
C 11.29
D 40
Class Interval , No. of patients and Class Mark given in pic
Answers
Answer:
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during a year:
The following table shows the ages of the patients admitted in a hospital during a year
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency.
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Solution:
We will find the mean by the direct method.
Mean, (x) = Σfᵢxᵢ/Σfᵢ
Modal Class is the class with the highest frequency
Mode = l + [(f₁ - f₀)/(2f₁ - f₀ - f₂)] × h
Here,
Class size is h
The lower limit of modal class is l
The Frequency of modal class is f₁
Frequency of class preceding modal class is f₀
Frequency of class succeeding the modal class is f₂
To find Mean, we know that, class mark, xᵢ = (Upper-class limit + Lower-class limit)/2
The following table shows the ages of the patients admitted in a hospital during a year:
From the table it can be observed that, Σfᵢ = 80 and Σfᵢxᵢ = 2830
Mean, (x) = Σfᵢxᵢ/Σfᵢ
= 2830/80
= 35.37
To find mode, we know that modal class is the class with the highest frequency
The following table shows the ages of the patients admitted in a hospital during a year:
From the table, it can be observed that the maximum class frequency is 23, belonging to class interval 35 − 45.
Therefore, Model class = 35 − 45
Class size, h = 10
Lower limit of model class, l = 35
Frequency of modal class, f₁ = 23
Frequency of class preceding modal class, f₀ = 21
Frequency of class succeeding the modal class, f₂ = 14
Mode = l + [(f₁ - f₀)/(2f₁ - f₀ - f₂)] × h
= 35 + [(23 - 21)/(2 × 23 - 21 - 14)] × 10
= 35 + [2/(46 - 35)] × 10
= 35 + (2/11) × 10
= 35 + 1.8
= 36.8
So, the modal age is 36.8 years which means the maximum number of patients admitted to the hospital are of age 36.8 years.
Mean age is 35.37 and the average age of the patients admitted is 35.37 years.
