Multiple choice

The mean weight of a class of 34 students is 46.5 kg. If weight of the teacher is included, the mean rises by 500 gm. Then weight of the teacher is:

  1. 175 kg

  2. 62 kg

  3. 64 kg

  4. 72 kg
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total weight of 34 students = 34 * 46.5 = 1581 kg. With the teacher, total people = 35, mean = 47 kg. Total weight = 35 * 47 = 1645 kg. Teacher weight = 1645 - 1581 = 64 kg.

AI explanation

The total weight of the 34 students is 34 times 46.5 kg, which equals 1581 kg. When the teacher is included, the new average becomes 47 kg (46.5 kg plus 0.5 kg) for 35 people, making the new total weight 35 times 47 kg, or 1645 kg. The teacher's weight is the difference between the new total and the old total, which is 1645 kg minus 1581 kg, yielding 64 kg.

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