The mean mass of five boys is 62 kg. When the mass of a boy is excluded, the mean mass of the remaining four boys becomes 64 kg. Find the mass of the boy that has been excluded.
The mean mass of the five boys is 62 kg, so the total mass of the five boys can be expressed as 5 * 62 = 310 kg.
And, the mean mass of the remaining four boys after excluding the one boy is 64 kg, so the total mass of the remaining four boys can be expressed as 4 * 64 = 256 kg.
Penjelasan dengan langkah-langkah:
Let the mass of the excluded boy be "x".
The mean mass of the five boys is 62 kg, so the total mass of the five boys can be expressed as 5 * 62 = 310 kg.
And, the mean mass of the remaining four boys after excluding the one boy is 64 kg, so the total mass of the remaining four boys can be expressed as 4 * 64 = 256 kg.
So, we have the equation: 310 - x = 256 + x,
Solving for x: x = (310 - 256)/2 = 27 kg.
So, the mass of the excluded boy is 27 kg.
Jawaban:
the answer is 54 kg, sorry for messy handwriting