Mean weight of 29 student is 50 kg if weight of teacher is included the mean weight is 51 - Maths - Statistics

Question

Mean weight of 29 student is 50 kg if weight of teacher is
included the mean weight is 51 kg Find the weight of the
teacher

Manmeet Singh · Accepted Answer

Mean weight = $\frac{s u m o f w e i g h t s}{n u m b e r o f s t u d e n t s}$

$\Rightarrow \frac{s u m o f w e i g h t s}{29} = 50 \Rightarrow s u m o f w e i g h t s = 50 \times 29 = 1450$

If the weight of teacher is included, the mean changes to 51.

$\Rightarrow \frac{s u m o f w e i g h t s + w e i g h t o f t e a c h e r}{29 + 1} = 51 \Rightarrow s u m o f w e i g h t s + w e i g h t o f t e a c h e r = 51 \times 30 = 1530 \Rightarrow w e i g h t o f t e a c h e r = 1530 - 1450 = 80 k g$

Mean weight of 29 student is 50 kg. if weight of teacher is included the mean weight is 51 kg . Find the weight of the teacher