Representation of data — lesson. Mathematics State Board, Class 7.

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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: