The weights (in kg) of 50 wrestlers are recorded in the following table : Weight (in kg) 100-110 110-120 120-130 130-140 140-150 Number of wrestlers 4 14 21 8 3 Find the mean weight of the wrestlers.
The weights (in kg) of 50 wrestlers are recorded in the following table : Weight (in kg) 100-110 110-120 120-130 130-140 140-150 Number of wrestlers 4 14 21 8 3 Find the mean weight of the wrestlers.

Weight (in kg)    Number of Wrestlers (fi)               Class Marks (xi)  Deviation

(di = xi – a)

fidi

100 – 110            4             105        –20        –80

110 – 120            14           115        –10        –140

120 – 130            21           125        0             0

130 – 140            8             135        10           80

140 – 150            3             145        20           60

N = Σfi = 50                        σfidi = – 80

∴ Assumed mean, (a) = 125

Class width, (h) = 10

also, all out perceptions, (N) = 50

By step deviation strategy,

NCERT Exemplar Class 10 Maths Chapter 13 Ex. 13.3 Question 7

    \[=\text{ }125\text{ }\text{ }16\]

= 123.4kg

Consequently, mean load of grapplers = 123.4kg