Let assumed mean (A) = 47.5
∵ Arithmetic mean (\(\overline { x }\)) = A + \(\frac { { \Sigma f }_{ i }{ d }_{ i } }{ { \Sigma f }_{ i } } \) = 47.5 + \(\frac { 435 }{ 30 }\)
= 47.5 + 14.5 = 62
From given table, if is clear that maximum frequency is 7 and its corresponding class is 40 – 55.
Thus, modal class will be 40 – 55.
∵ l = 40, f0 = 3, f1 = 7, f2 = 6, and h = 15
Thus, mean = 62 and mode = 52