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.
Answer: Option
Explanation:
| Required average |
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| = 48.55 |
Discussion:
31 comments Page 2 of 4.
Vino venkat said:
1 decade ago
Any short cut method to this problem?
Rajwinder singh said:
1 decade ago
Difference between 50.25 & 45.15 is 5.1.
16*5.1 = 81.6.
81.6/24 = 3.40.
45.15+3.40 = 48.55.
16*5.1 = 81.6.
81.6/24 = 3.40.
45.15+3.40 = 48.55.
(1)
Priyanka said:
1 decade ago
How total boys 24 remaining 8 boys means? Boys inside 16 or separate 8 boys? Please explain.
Prasad said:
10 years 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?
i.e 50.25+45.15 = 95.40.
= 95.40/2 = 47.7 kg.
This process is wrong then say what is missing?
Bhawani said:
9 years ago
You can also solve in this type.
16 * 50.25 + 8 * 45.15 / 24.
8 (2 * 50.25 + 45.15) / 24.
145.75 / 3.
=> 48.55
16 * 50.25 + 8 * 45.15 / 24.
8 (2 * 50.25 + 45.15) / 24.
145.75 / 3.
=> 48.55
(1)
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.
Bramara said:
9 years ago
Formula for this type of problem is (w1*x1) + (w2*x2) / (w1+w2).
Vicky said:
9 years ago
Is there any shortcut for this problem?
Avneet said:
9 years ago
16 Boys = 50.25 KG
8 Boys = 45.15 KG
Total boys and their weight is;
16B + 8B = (50.25 * 16) + (45.15 * 8).
24B = 1165.2.
B = 48.55.
8 Boys = 45.15 KG
Total boys and their weight is;
16B + 8B = (50.25 * 16) + (45.15 * 8).
24B = 1165.2.
B = 48.55.
(1)
Farhin Rizvi said:
9 years ago
As given, the average weight of 16 boys in a class = 50.25kg.
Thereby,we can write it as x1 + x2,....x16/16 = 50.25,
= x1 + x2 +.....+ x16 = 50.25 * 16 = 804.
For remaining 8 boys x1 + x2 +....+ x8/8 = 45.15,
= x1 + x2 + x3 + ........ + x8 = 45.15 * 8 = 361.2.
Thereby total number of boys = 16 + 8 = 24.
And total weight = 804 + 361.2 = 1165.2.
Average = 1165.2/24 = 48.55.
Thereby,we can write it as x1 + x2,....x16/16 = 50.25,
= x1 + x2 +.....+ x16 = 50.25 * 16 = 804.
For remaining 8 boys x1 + x2 +....+ x8/8 = 45.15,
= x1 + x2 + x3 + ........ + x8 = 45.15 * 8 = 361.2.
Thereby total number of boys = 16 + 8 = 24.
And total weight = 804 + 361.2 = 1165.2.
Average = 1165.2/24 = 48.55.
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