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Classified Frequency Table

Number of Mangoes	Number of Boxes \((f_i)\)	Class Midpoint \((x_i)\)	\(f_i x_i\)
50–52	6	51	306
52–54	14	53	742
54–56	16	55	880
56–58	9	57	513
58–60	5	59	295
Total	\(Σf_i = 50\)		\(Σf_i x_i = 2736\)

By the direct method, average number of mangoes \(= \cfrac{Σf_i x_i}{Σf_i} = \cfrac{2736}{50} = 54.72\) (Answer)