Question

Find the mean of the following:
$2,2,0,4,3,9,5,7$

Answer 1

Hint: Here we have been given data and we have to find the meaning of it. Firstly we will write the formula for finding the mean. Then according to the formula we will find the sum of all the observations given and also write the total number of observations. Finally we will divide the sum by the total number and get our desired answer.

Complete step-by-step solution:
The data is given as follows:
$2,2,0,4,3,9,5,7$
We know that mean is calculated by below formula,
Mean $=$ Sum of the observations $\div $ Number of observations…..$\left( 1 \right)$
So firstly we will find the sum of the observations as follows,
$= 2+2+0+4+3+9+5+7$
$= 32$
Sum of the observations $=32$
Number of observations $=8$
So put the value in equation (1),
Mean $=\dfrac{32}{8}$
Mean $=4$
Hence mean of $2,2,0,4,3,9,5,7$ is $4$

Note: Mean is the average value of the given data. It is the one of the Measures of central tendency apart from mode and median. It also denotes the equal distribution of values for a given data set. It is a commonly used term in statistics and is used while we are dealing with large amounts of data. For finding the mean each value is to be considered of the data set for getting the accurate answer. There are three types of mean : arithmetic mean, geometric mean and harmonic mean. Arithmetic mean is the most common mean used in statistics as it is given the average of the values, geometric mean is calculated between three values given and harmonic mean is used to find the average of the ratios.