Question

The average of points scored by a group of participants in a competition is 35. Due to a correction, if 8
more points were awarded to half of the participants, 6 more points were awarded to one half of the
remaining, and 2 more points were awarded to the other half, what is the increase in the average?​

Answer 1

Answer:

the answer is that first you'll have the multiply 35 and 8

then 6 and 2

and at last you'll add the answers of both

Answer 2

Answer: 6 is the increase in the average.

Step-by-step explanation: The average of points scored by a group of participants in a competition is 35.

Due to a correction, if 8 more points were awarded to half of the participants, 6 more points were awarded to one half of the remaining, and 2 more points were awarded to the other half,

So now the increase in the average is

total new marks

$\frac{n}{2} (35+8)+\frac{n}{4} (35+6)+\frac{n}{4}(35+2)$

$=\frac{43}{2}n +\frac{41}{4}n +\frac{37}{4} n\\=\frac{(86+41+37)}{4}n\\ =\frac{164}{4} n\\=41n$

So now the new average is $=\frac{41n}{n} =41$

As the increase in the average is =41-35=6.

Hence, 6 is the increase in the average.

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