Average Quiz 1

Average = =\frac{(75+66+83+66+85)}{5}=\frac{375}{5}=75

Clearly, We have (\frac{4+10+6+10+16+12+7+21+20+18+14+x}{12})=12

Or 137+x=144 or x=144-137=7

Clearly, To find the average,we ought to know the number of men and women ,neither of which is given.
So, Data provided is inadequate

Let the number of other league players be x
Then the number of IPL players =12x
Therefore, Average monthly income =\frac{P*12x+Q*x}{13x}=\frac{12P+Q}{13}

Clearly, We have p=\frac{3q+3r}{6} or 2p=q+r

Average of 11 innings =36

Therefore, Required number of runs=(36x11)-(32x10)
= 396-320 =76

Correct sum= (36*50+48-23)=1825
Therefore,the correct mean= \frac{1825}{50}=36.5

Average age of 10 students =7
Sum of the ages of these 10 students =(10*7)=70
Therefore, a1+a2+ ……+a10=70
12a1+12a2+.....+12a10=840
\frac{12a1+12a2+....12a10}{10}=84
Therefore,the average of new ages is 84

The cost of excluded chocolate is =(29*5)-(23*4)=53

Clearly , the fourteenth result = (Sum of 27 results)- (Sum of 26 results)
=(18*27)-[(14*13)+(17*13)]
=486-(182+221)=83