Question

the average weight of 5 persons is 61kg.if each person reduces their weight by 2kg,then their average weight will be 59 kg.Is it true justify?​ plz answer its very urgent​

Answer 1

Answer:

The given data is true

Step-by-step explanation:

$\text{Let }x_1,x_2,x_3,x_4,x_5\:\text{be the weight of 5 persons}$

Given:

Their average = 61 kg

$\implies\frac{x_1+x_2+x_3+x_4+x_5}{5}=61$

$\implies\:x_1+x_2+x_3+x_4+x_5=305$

If each person redcues their weght by 2 kg,

$\text{New average}=\frac{(x_1-2)+(x_2-2)+(x_3-2)+(x_4-2)+(x_5-2)}{5}$

$\text{New average}=\frac{(x_1+x_2+x_3+x_4+x_5)-10}{5}$

$\text{New average}=\frac{305-10}{5}$

$\text{New average}=\frac{295}{5}$

$\bf\text{New average=59 kg}$

$\therefore\text{The given data is ture }$

Answer 2

Answer:

Yes, it is justified.

Step-by-step explanation:

The formula to calculate average  value of weight  is: sum of weight divided by the total number of persons. We are given average value and total number of person, so we multiplied these two value to get the total weight. We then subtracted 10 kg from the total value ,since each person reduced 2 kg, then we divided the new value by 5 again and we got 59 kg . Therefore it is justified.