Question

Find the mean of the numbers \[8,\text{ }12,\text{ }5,\text{ }6,\text{ }10,\text{ }7\].

Answer 1

Hint: Mean is calculated by dividing the sum of observations by the number of observations.
Mean is also known as the middle term of the data.

Complete step by step answer:
Mean is the average of observations. The discrete data given has six observations.
Other measures of finding the average of the middle value of data are median and mode.
Median is calculated by arranging the discrete data in discrete order and then applying the formula of finding the mean of even number of observations. For even numbers of observations, the median is calculated as the average of third and fourth observations.
Mode is calculated as the highest number of times a value appears in the data available.
Mena is a measure of analysis as it helps in finding the average value in data.
The observations are arranged in ascending order to determine the value of mean. Ascending order indicates arranging numbers from smallest to largest. The numbers are arranged as:
$5,6,7,8,10,12$
Mean = Sum of observations/Number of observations
\[\begin{align}
  & Mean=\frac{8+12+5+6+10+7}{6} \\
 & =\frac{48}{6} \\
 & =8
\end{align}\]
The mean value $8$ is the average of given discrete data.
Mean is sued for further complex analysis and interpretations too and to arrive at final results. Mean is the simplest measure of analysis as it is easy to calculate, interpret and understand.

Note: Mean is at equal distance from all the observations.
The numbers which are less and more the mean are at equal distance from the mean.