(Guidance Programme) Combined Higher Secondary Level [CHSL]
(10+2) Exam : Average
Average
The average of a given number of quantities of the same kind is expressed as
Average = Sum of the quantities/ Number of the quantities
Average is also called the Arithmetic Mean.
Also, Sum of the quantities = Average × Number of the quantities
Number of quantities = Sum of the quantities/ Average
• If all the given quantities have the same value, then the number itself is
the average.
• If all the given quantities are not all the same, then the average of the
given quantities is always greater, then the smallest number and always less
than the largest number. Equivalently, atleast one of the numbers is less than
the average and atleast one is greater then the average.
• If each of the given quantities is increased by a constant p, then their
average is also increased by p.
• If each of the given quantities is decreased by a constant p, then their
average is also decreased by p.
• If each of the given quantities is multiplied by a constant p, then their
average is also multiplied by p.
• Whenever the given quantities form an arithmetic sequence and if the given
quantities has odd terms, then the average is the middle term in the sequence
and if the given quantities has even terms, then the average of the sequence is
the average of the middle two terms.
• In order to calculate the weighted average of a set of numbers, multiply
each number in the set by the number of times it appears, add all the products
and divide by the total number of numbers in the set.