Question 16

Explanation

Calculating Initial Total Weight

The initial average weight $(\bar{x}_1)$ of ten players $(n_1 = 10)$ is $60$ kg. The initial total weight can be calculated as follows:

Calculating the Weight of the Replaced Player

Let the weight of the replaced player be $n$ and Iksan's weight be $x_i = 62$ kg.

After the replacement, the number of players remains $10$, but the average weight becomes $\bar{x}_2 = 60.5$ kg. The equation is:

Substitute the known values:

Multiply both sides by $10$:

Move $n$ to the left side and $605$ to the right side:

Thus, the weight of the futsal player replaced by Iksan is $57$ kg.