### Theory:

You might be aware of the term average and would have come across statements involving the term average in your day-to-day life:
Example:
• Isha spends an average of about $$5$$ hours daily for her studies. (By average we understand that Isha, usually, studies for $$5$$ hours. On some days, she may study for fewer hours, and on the other days, she may study longer).
• The average temperature at this time of the year is about $$40°C$$. (The average temperature of $$40°C$$ means that very often the temperature at this time of the year is around $$40°C$$. Sometimes, it may be less than $$40°C$$, and at other times it may be more than $$40°C$$).
• The average age of pupils in my class is $$12$$ years. (A class may contain pupils who are less than or more than a certain age. In the example, the average age of the class is $$12$$ years).
• The average attendance of students in a school during its final examination was $$98$$ percent. (Not all the students attend the class regularly the average attendance of a particular session gives the central value of the attendance percentage).
Average :
An average is a number that represents or shows the central tendency of a group of observations or data. Since average lies between the highest and the lowest value of the given data so, we say the average is a measure of the central tendency of the group of data.
We can define average as the sum of total numbers divided by the total number of objects.
Example:
Get the average of the following set of numbers :
$$5$$, $$4$$, $$16$$, $$25$$, $$13$$, $$3$$.
Step 1:  Sum $$= 5 +4 + 16 + 25 +13 + 3 = 66$$

Step 2:  $\mathit{Average}\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\frac{\mathit{Sum}}{\mathit{Total}\phantom{\rule{0.147em}{0ex}}\mathit{number}\phantom{\rule{0.147em}{0ex}}\mathit{of}\phantom{\rule{0.147em}{0ex}}\mathit{objects}}$

$\mathit{Average}\phantom{\rule{0.147em}{0ex}}=\phantom{\rule{0.147em}{0ex}}\frac{66}{6\phantom{\rule{0.147em}{0ex}}}=\phantom{\rule{0.147em}{0ex}}11$