Question

What is average in Math?

Answer 1

Hint: In this problem, we are going to see about average in math. Basically, we know that, average of a list data is the expression of the centre value of a set of data. Here we can see what is average in mathematical terms, why it is used and what is the formula to find average for a given set of data.

Complete step-by-step solution:
We know that, in mathematical terms, average is defined as the ratio of summation of all the data to the number of units present in the list.
We should also know that the average of a given set of numerical data is also known as ‘mean’.
We can now write the exact definition with the formula of average.
Definition: The average is defined as the ratio of sum of numbers of a given set to the total number of values present in a set.
Symbol: the average is basically mean of the values which are represented by \[\overline{x}\], it is also denoted by \[\mu \].
Formula of average:
\[Average=\dfrac{Sum\text{ }of\text{ }numbers}{Number\text{ }of\text{ }Units}\]
We can now take a set of numbers for example, to calculate its average.
We can find the average of 20, 21, 22, 23, 24, 25.
We can now find the average.
Sum of the given numbers = 135
Number of terms = 6.
We can now find the average,
\[\Rightarrow Average=\dfrac{135}{6}=22.5\]

Note: We should remember that average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities. The formula for average is the ratio of sum of numbers of a given set to the total number of values present in a set.