Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 5)
5.
The average weight of 8 person's increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
76 kg
76.5 kg
85 kg
Data inadequate
None of these
Answer: Option
Explanation:

Total weight increased = (8 x 2.5) kg = 20 kg.

Weight of new person = (65 + 20) kg = 85 kg.

Video Explanation: https://youtu.be/ceg2jvHsiJU

Discussion:
85 comments Page 6 of 9.

Saravanan said:   1 decade ago
Replaced value+(Increase in average*Total number of observation).

Manoj Kumar said:   1 decade ago
Thanks for your support guys. Will post more useful information in future.

Sneha said:   1 decade ago
@Manoj Kumar Sir, your tricks are really useful.

Fakhar said:   1 decade ago
I am totally confused. Can any one give me solution?

Sarvesg said:   1 decade ago
The first line says average weight weight of person is increased by 2.5.

1) So the total weight increase is = 2.5*8 = 20.

2) Then it says when old person weighting 65 kg is replaced by new one since the weight increase is because of only one person add the old person weight+the average weight = 65+20 = 85.

B.E(Bekar Engg) said:   1 decade ago
Let average of 8 person weight = x;

x/8 = 2.5;
x = 8*2.5.
x = 20;

New person is add with weight = 65.

65+20 = 85.
Ans = 85;

Hemanth said:   1 decade ago
Weight of newly came person is = Weight of replaced person + (no of persons*increased in weight).

=>65+ (8*2.5).

=>65+20.

=>85.

Vineela reddy said:   1 decade ago
@Manoj kumar is it useful for all?

Please give the clear information I'm ok but little confused.

Mukesh said:   1 decade ago
Old School method.

Let Z+65 be weight of 8 person and their average be A.

So, (z+65)/8 = A .......(i).

Now with the replacing the person with 65 KG weight with new person, average becomes A+2.5, let the weight of new person be x KG.

So, (Z+x/8) = A+2.5 .......(ii).

Subtraction (i) from (ii).

(x+65)/8 = 2.5.

Therefor, x = 85.

Jay said:   1 decade ago
In this case problems you people just recall this formula:

N - R = (+ or -)nx.

N - new items added.
R - removed items.
n - average of the sum.
x - decrease or increase.

Put + when increase.
- for decrease.

Now see:
N - 65 = + 8(2.5).
N = 85.


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