The mean weight of a class of 24 students is 48 kg. If the weight of the teacher be included, then the mean weight increases by 500 g. Find the weight of the teacher.
Mean weight of 24 students = 48 kg.
Total weight of 24 students = (48 × 24) kg = 1152 kg.
Mean weight of 24 students and the teacher (48 + 0.5) kg = 48.5 kg.
Total weight of 24 students and the teacher = (48.5 × 25) kg = 1212.5 kg.
Weight of the teacher = (1212.5 - 1152) kg = 60.5 kg.
Hence, the weight of the teacher is 60.5 kg.