The following table shows the ages of the patients admitted in a hospital during a year:
Age (in years) | 5 - 15 | 15 - 25 | 25 - 35 | 35 - 45 | 45 - 55 | 55 - 65 |
Number of patients | 6 | 11 | 21 | 23 | 14 | 5 |
Find the mode and the mean of the data given above. Compare and interpret the two measures of central tendency
As per the question:
Modal class = 35 -45
l = 35
h = 10
f1 = 23
f0 = 21
f2 = 14
= 
= 36.8
The above given data can be represented in the form of table as below:
Class Interval | fi | xi | fixi |
5-15 | 6 | 10 | 60 |
15-25 | 11 | 20 | 220 |
25-35 | 21 | 30 | 630 |
35-45 | 23 | 40 | 920 |
45-55 | 14 | 50 | 700 |
55-65 | 5 | 60 | 300 |
∑fi=80 | ∑fixi=2830 |
= 35.37
The mode of the data shows that maximum number of patients in the age group of 26.8, whereas the average age of all the patients is 35.37
Couldn't generate an explanation.
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