The weights (in kg) of 9 members of a school cricket team are 50 , 63 , x , 62 , 64 , 48 , 51 , 55 , 48. If mean weight is 56 kg, then value of x is________.

Correct option is B

Given:

The weights (in kg) of 9 members of the cricket team are: 50, 63, x, 62, 64, 48, 51, 55, 48.

The mean weight is 56 kg.

Formula Used:

The formula for the mean weight of a group is:

Mean = $$\frac{\text{Sum of all weights}}{\text{Number of members}}$$​​

Solution:

Given that the mean weight is 56 kg, we can write:

56 = $$\frac{50 + 63 + x + 62 + 64 + 48 + 51 + 55 + 48}{9}$$​​

$$56 \times 9$$ = 50 + 63 + x + 62 + 64 + 48 + 51 + 55 + 48

504 = 50 + 63 + x + 62 + 64 + 48 + 51 + 55 + 48

504 = 441 + x

x = 504 - 441 = 63

Thus, the value of x is 63 kg.