Question

What is the symbol for Mean?

Answer 1

Hint: Mean can be defined as the average of numbers. In other words, mean is the sum of all the numbers upon the total number of numbers. Then common factors are removed from the numerator and the denominator or simply division is done to get the simplified answer i.e. the mean.

Complete answer:
The mean of the data set can also be defined as the average of all the data values.
The mean if the data are from the sample is denoted by $ \overline x $ and mathematically it is represented as –
 $ \overline x = \dfrac{{\sum\limits_1^n {{x_i}} }}{n} $
Where the numerator part denotes the sum of all the terms from one to “n” and “n” is the sample size and corresponds to the observed value.
Let us take one example for meaning.
We are given weight of the students in kilogram in the class such as $ 22,24,21,19,20 $ then the average of the weight can be given by sum of all the weights upon the total number of observations.
 $ \overline x = \dfrac{{22 + 24 + 21 + 19 + 20}}{5} $
Find the sum of the numbers on the numerator part for the expression on the right hand side.
 $ \overline x = \dfrac{{106}}{5} $
Dividing the above fraction gives,
 $ \overline x = 21.2 $
Hence, the mean or the average of the weight of the students in the class is $ 21.2 $ kilogram.

Note: Do not get confused between the symbols of mean between the data are from a sample and population. If the data are from a sample then the mean is denoted by $ \overline x $ whereas, if the data are from a population then the mean is denoted by $ \mu $ .