We have come across situtations where we use the term ‘average’ in our day-to-day life. Consider the following statements.

**Representative values**

We have come across situtations where
we use the term ‘average’ in our day-to-day life. Consider the following statements.

● The average temperature at Chennai
in the month of May is 40° *c*.

● The average marks in mathematics unit
test of class VI is 74.

● Mala’s average study time is 4 hours.

● Mathan’s average pocket money per week
is ₹ 100.

We come across many more statements of
such kind in our daily life. Let us take the example, *“the average marks scored
by class* VI *students in maths test is 74”**.* Does it mean that every student has
scored 74? No, certainly not. Some students would have got more than 74 and some
students would have got less than 74. Average is the value that represents the general
performance of class VI students in maths test.

Similarly, 40°
*c* is the representative temperature of
Chennai in the month of May which does not mean that everyday temperature is 40º
*c* in the month of May. Since the average
lies between the highest and the lowest value of the given data, we say average
is a measure of central tendency of the group of data. Different forms of data need
different forms of representative or central value to describe it. We study three
types of central values of data namely Arithmetic Mean, Mode and Median in this
chapter.

** **

**Try these**

**Collect the height of students of your class. Organise the data in
ascending order.**

**Solution:**

Height of 15 students in our class.

130cm, 150 cm, 155 cm, 142 cm, 138 cm, 145 cm, 148 cm, 147 cm,
148cm, 143 cm, 141cm, 152 cm, 147 cm, 139 cm, 155 cm.

**Ascending order :**

130cm, 138cm, 139cm, 141cm, 142cm, 143cm, 145cm, 147cm, 147cm, 148cm, 148 cm, 150cm, 152 cm, 155cm, 155cm.

Tags : Statistics | Term 3 Chapter 5 | 7th Maths , 7th Maths : Term 3 Unit 5 : Statistics

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7th Maths : Term 3 Unit 5 : Statistics : Representative values | Statistics | Term 3 Chapter 5 | 7th Maths

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