Question

The weights (in kg) of 50 wrestlers are recorded in the following table: Find the mean weight of the wrestlers.

Weight(in kg)

100-110

110 -120

120 -130

130 -140

140-150

No.of wrestlers

4

14

21

8

3

Answer 1

Answer:

The mean value is 123.4 kg

Step-by-step explanation:

From the above question,

They have given :

Weight (kg) Number of wrestlers (f) Midpoint x f × x

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

The weights (in kg) of 50 wrestlers are recorded in the following table: Weight (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

Total ∑f = 50   ∑fx = 6170

By direct method,

Mean = ∑fx / ∑f

From the table,

Mean =   $\frac{6170}{50}$

          =   $\frac{617}{5}$

          = 123.4

The mean formula in statistics for a set is defined as the sum of the observations divided by the total number of observations. The mean weight of the 50 wrestlers is 123.4 kg

Therefore, the mean is 123.4 kg

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