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The following table shows the age distribution of cases of a certain disease admitted during a year in a particular hospital:

Class 5 -14 15-24 25 -34 35-44 45 -54 55-64
Frequency 6 11 21 23 14 5

(i) Find the average age for which maximum cases occurred.

(ii) Which mathematical concept is used in this problem ?

(iii) What is its value ?

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(i) Here class intervals are not in inclusive form. So, we first convert them in inclusive form by subtracting 0.5 from the lower limit and adding 0.5 to the upper limit of each cases where h is the difference between the lower limit of a class and the upper limit of the preceding class. The given frequency distribution in inclusive form is as follows:

Since highest frequency is 23 so, the modal class is 34.5 - 44.5.

(ii) Mode of grouped data

(iii) If we practice habit of cleanliness, we will be able to put disease at an arm's length

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