For Mode : Here maximum frequency is 23 and its corresponding class is 35 – 45.
So, modal class 35 – 45
∴ l = 35, f0 = 21, f1 = 23, f2 = 14, h = 10
Thus, mode = 36.8 yrs.
For Mean : Let assumed mean A = 40
∵ Arithmetic mean (\(\overline { x }\)) = A + \(\frac { { \Sigma f }_{ i }{ d }_{ i } }{ { \Sigma f }_{ i } } \) = 40 – \(\frac { 370 }{ 80 }\)
= 40 – 4.625 = 35.375
Thus, mode of data = 36.8 years. and mean = 35.375 years.
Maximum age of patients admit in hospital is 36.8 years. where as average age of patients admit is hospital is 35.57 yrs.