Question

The averageweight of 20 students in a class is 84 kg if the weight of the teacher is included the average increases by 3 kg find the weight of the teacher

Answer 1

Answer:

147 kg

Step-by-step explanation:

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Answer 2

The weight of the teacher is 147 kg

Step-by-step explanation:

$Average = \frac{\text{Sum of all observations}}{\text{No. of observations}}$

We are given that The average weight of 20 students in a class is 84 kg

So, $84 = \frac{\text{Sum of weights of 20 students}}{20}$

$84 \times 20 =\text{Sum of weights of 20 students}$

$1680 =\text{Sum of weights of 20 students}$

Let the weight of teacher be x

Ne sum of weights = 1680+x

No. of people = 20+1=21

We are given that if the weight of the teacher is included the average increases by 3 kg

So, Mean = 84+3=87 kg

So, $87 = \frac{1680+x}{21}$

$87 \times 21 = 1680+x$

$1827= 1680+x$

$1827-1680=x$

$147=x$

Hence  the weight of the teacher is 147 kg

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