Question

The mean weight of 10 boys in a group is 45 kg. Find x if their weights are as follows: 47, 42, 50, 46, x, x - 2, x + 1, 48, 54, 50.

Answer 1

To find the value of x for the mean weight of 10 boys which is 45 kg with the given weights, we set up and solve an equation. The calculated value of x is approximately 37.67 kg.

Step-by-step explanation:

The question asks to find the value of x in a set of weights of 10 boys where the mean weight is 45 kg. The weights provided are 47, 42, 50, 46, x, x - 2, x + 1, 48, 54, 50. To find x, we use the formula for the mean weight:

Mean = (Sum of all weights) / (Number of weights)

Thus, setting up the equation with the given numbers and solving for x:

45 = (47 + 42 + 50 + 46 + x + (x - 2) + (x + 1) + 48 + 54 + 50) / 10

45 = (338 + 3x - 1) / 10

450 = 338 + 3x - 1

3x = 450 - 337

3x = 113

x = 113 / 3

x = 37.67

The value of x is approximately 37.67 kg.