Since the maximum frequency is 23 and it corresponds to the class 35−45.∴ modal class =35−45Here, xk​=35,h=10,fk​=23,fk−1​=21,fk+1​=14We know that mode M0​ is given byM0​=xk​+h2fk​−fk−1​−fk+1​fk​−fk−1​​=35+10(2(23)−21−1423−21​)=35+1110(2)​=35+1120​=35+1.8=36.8 years nearlyAgain, we have Age (in years)Number of patients (fi​)Mid-value (xi​)fi​xi​5−156106015−25112022025−35213063035−45234092045−55145070055−65560300∑fi​=80∑fi​xi​=2830Mean x=∑fi​∑fi​xi​​=802830​=8283​=35.37yearsThis shows that maximum number of patients admitted in the hospital are of the age 36.8 years while on an average the age of a patient admitted to the hospital is 35.37 years.