Aptitude - Average - Discussion

Discussion Forum : Average - General Questions (Q.No. 12)
12.
The average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weights of all the boys in the class.
47.55 kg
48 kg
48.55 kg
49.25 kg
Answer: Option
Explanation:
Required average
= 50.25 x 16 + 45.15 x 8
16 + 8
= 804 + 361.20
24
= 1165.20
24
= 48.55
Discussion:
33 comments Page 3 of 4.

Sms said:   2 decades ago
Very complicated and tough problem. Difficult to solve it and need more explanation.

KIRAN KUMAR said:   9 years ago
This is a weighted average problem. In weighted average problem the value of the actual weights is not required. The ratio of the weights also will give you the same answer. Thus instead of 8 and 16 we can take the ratios of 8 and 16. i.e. 2 and 1 as our weights.

Prasad said:   1 decade ago
Why can't we take both weights as individual weights?

i.e 50.25+45.15 = 95.40.

= 95.40/2 = 47.7 kg.

This process is wrong then say what is missing?

Priyanka said:   1 decade ago
How total boys 24 remaining 8 boys means? Boys inside 16 or separate 8 boys? Please explain.

Vino venkat said:   1 decade ago
Any short cut method to this problem?

Gokul Sreekumar said:   1 decade ago
A more simple way.

Instead of doing these complex multiplications you can simply take (50.25+50.25+45.15) /3 & you will get the answer.

Muneer.s said:   1 decade ago
16 boys total weight= 50.25*16= 804kg

8 boys total weight= 45.15*8= 361.2

Total weight of all boys= 804+361.2 =1165.2
Avg weight of all boys= 1165.2/24= 48.55

Swapnil said:   1 decade ago
16 * 50.25= 804 (total wt of 16 boys)
8 * 45.15= 361.2 (total wt remaining 8 boys)
_____________________
24 = 1165.2 (total wt of all boys)
= 1165.2/24
=48.55 (Average wt of all boys)

Madhavi said:   1 decade ago
@heema

It can also be solved sing the following formula:n1x1+n2x2/n1+n2....... n1=16,n2=8,x1=50.25 & x2=45.15

M.V.KRISHNA/PALVONCHA said:   1 decade ago
Avg. of 16 boys= 50.25,

weight of 16 boys=(50.25*16)=804,

avg. of 8 boys= 45.15,

weight of 8 boys=(45.15*8)=361.2,

total no. boys=24,

total weight of the boys=1165.2.

avg. weight of 24 boys=(1165.2/24)

=48.55.


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