AVERAGE
Definition:: Simply average means middle term of whole
things. It can be derived by following
Formula.
It is also known as Arithmetic Mean.
Average=(Sum of
all things ) / ( No of things)
Or
Sum of all things = ( No of things) * (Average)
Lets us understand the
average .If you have money of ₹ 1, ₹ 2, ₹
5, ₹ 10, ₹ 20, ₹ 50, ₹ 100, ₹ 500, ₹ 1000 ,
and they have only single note .then what will be average(middle) of
these money.
Here no of notes are 9 .i.e . TOTAL NO OF NOTES ARE 9.
Average=
Sum of money / No of notes
=(1+2+5+10+20+50+100+500+1000)/9
=1688/9
=187.555
END OF THEORY
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QUESTION
QUESTION
1: A batsman make a score of 86 run in the 12 innings and therefore increase
his
Average by 5. Find his
average after 12 innings.
Solution: Let
assume at 11 innings batmans average is m,
Now
Total run up to 11th Innings
+ run on 12th innings = Total
runs upto 12 innings
11*m + 86 =12*(m+5)
11m +86 =12m+60
86-60 =m
26=m
There fore batsman average is 26 after 12
inning .
Now you can calculate total runs made
by batsman=312
QUESTION 2:: Average age of
a wife and her husband was 25 at
the time of their
marriage .After 10 years they have 2 year ,6 year old child .Find average age of
family.
Solution: Husband
and wife age at time of marrage(a1)=25*2=50
Husband and wife
age after marrage 10 years(a2)=10*2=20
New members in
the family their Total age(a3)=2+6=8
Use formula
Average=(Sum of
all things ) / ( No of things)
Average= (a1) +(a2)
+(a3) /4
=50+20+8/4
=78/4
=19.5
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