AVERAGE
The idea average is not new to you .we will share following types of statement .for example-1. The average run earning of Salman khan in that year is 2000 core
2: The average marks secured by Raghav is is 67%
Average is a know n as mean
average = SUM OF OBSERVATIONS/ NUMBER OF OBSERVATIONS.
For example, if a man earns 40 rupees , 50 rupees, 56 rupees , 48 rupees and 46 rupees aon five consecutive days of a week, than he earns total ( 40+50+56+48+46)= 240
To find his average earning per day, his total earning is divided by the number of days, i.e average= 240/5= 48 rupee
IMPORTANT FORMULAE
**If average of n¹ observations is x¹ and n² observations is x², then average of total observations (n¹+n²) Will be = (n¹x¹+n²x²)/
(n¹+n²)
** The average of first n multiples of X is X(n+1)/2 .
** The average of odd numbers from 1 to n is (last odd number+1)/2
** The average of even numbers from 1 to n is ( last even number + 2)/2
Example.1:- the average of 10 numbers is 7 . If each number multiplied by 12 Then , find the average of new set of numbers.
Answer:- . Since each given numbers is multiplied by 12 .
Hence, their average is also multiplied by 12. The average= 12×7=84.
Example. 2 :- THE average temperature of the first three days of a week is 40 degrees Celsius and that of next three days is 42 degrees Celsius. if the weekly average is 40.5 degrees Celsius . What is the temperature of the last day of week.
Answer:- first three days =40×3= 120
Next three days = 42×3=126
7 days Celsius = 40.5× 7= 283.5
Then last day of temperature is 283.5-(120+126)=37.5 degrees Celsius .
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