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  • 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.
 

Answers (1)

Answer.    [123.4]
Solution.  Here we calculate mean by following the given steps:

  1. Find the mid point of each interval.
  2. Multiply the frequency of each interval by its mid point.
  3. Get the sum of all the frequencies (f) and sum of all the (fx)
  4. Now divide sum of (fx) by sum of (f)
     
    Weight fi xi fixi
    100-110 4 105 420
    110-120 14 115 1610
    120-130 21 125 2625
    130-140 8 135 1080
    140-150 3 145 435
      \sum f_{i}= 50  

    \sum f_{i}x_{i}=6170

    mean\left ( \bar{x} \right )= \frac{\sum f_{i}x_{i}}{\sum f_{i}}= \frac{6170}{50}= 123\cdot 4 \ \ kg
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