Question

the average weight of a group of 25 boys was calculated to be 52 kg it was letter discovered that one weight was mistead as 45 kg instead of 54 kg calculate correct average weight ​

Answer 1

$<b>$Answer:-

Average Weight of 25 Boys = 52 kg.

Let the weight of the 25 Boys be "x" kg.

$= > \frac{x}{25} = 52 \\ \\ = > x = 25 \times 52 \\ \\ = > x = 1300$

Now,

It was Observed that 1 Boy's weight was mistead!

It was 54 kg.

=> Difference of the Weight = 54 - 45

=> 9 kg.

Means 9 kg weight is less in the Average weight of 25 Boyz.

$= > \frac{x + 9}{25} \\ \\ = > \frac{1300 + 9}{25} \\ \\ = > 52.36$

$\boxed{Hence, The Actual Weight of 25 Boys is 52.36. kg.}$

Answer 2

Answer:

The correct average weight is 51.64 kg.

Explanation:

The average age of 25 boys is 52 kg

The misread number is 45 kg

The actual number is 54 kg

Average = total sum of all the observations / total number of observations

Let the total sum of all the observations be 'S'

S/25 = 52

S = 25 X 52 = 1300 kg

Now, 45 is misread as 54

Actual sum = 1300 - 54 + 45 = 1291 kg

Correct average = 1291 / 25 = 51.64 Kg

Thus, the correct average of a group of 25 boys is 51.64 kg.