The following table shows the ages of the patients admitted in a hospital during a year.

Find the mode and mean of the data given below. Compare and interpret the measures of central tendency.

Age (in yrs)	No. of patients
5-15	6
15-25	11
25-35	21
35-45	23
45-55	14
55-65	5

Case I: Finding the mode
Here, the maximum class frequency is 23 and the class corresponding to frequency is 35-45.
So, the modal class is 35-45.
Thus, we have
        Modal class = 35 - 45 
              l = 35 
              f_i = 23, f₀ = 21,  f₂ = 14
and         h = 10
Now, substituting these values in the formula of mode, we get
             
Case II : Finding the median

Now,

Hence, the mode of the given data is 36.818 while mean is 35.373.

Interpretation : Maximum number of patients admitted in the hospital are of the age 36.818 years, while an average age of patients admitted to the hospital is 35.373 yrs.