Question

. The average weight of 19 boys was 25 kg. By taking a new boy the average weight reduces to 24.8 kg.
The weight of new boy is
a. 20.0 kg
b 21 kg
c. 21.6 kg
d. 22.6 kg​

Answer 1

Answer:

21

Explanation:

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Answer 2

The weight of the new boy is equal to 21 Kg. (Option-B)

Given,

The average weight of 19 boys = 25 Kg

By adding a new boy, the average weight reduces to 24.8 kg.

To find,

The weight of the new boy.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

The average of a set of given data can be calculated as follows;

The average = (sum of all the observations)/(total number of observations)

{Statement-1}

Now, according to the question;

The average weight of 19 boys = 25 Kg

=> (sum of the weight of the 19 boys)/(19 boys) = 25 Kg

=> sum of the weight of the 19 boys = (25×19) Kg = 475 Kg

{Equation-1}

Also, the average weight when a new boy is added to the count

= (sum of the weight of the 20 boys)/(20 boys) = 24.8 Kg

=> sum of the weight of the 20 boys = (24.8×20) Kg = 496 Kg

Now, the weight of the new boy

= (sum of the weight of the 20 boys) - (sum of the weight of the 19 boys)

= 496 Kg - 475 Kg

= 21 Kg

Hence, the weight of the new boy is equal to 21 Kg. (Option-B)