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
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