The given set of data is
[tex] 80, 90, 10, 75, 90, 95, 99 [/tex]
As we know , Mean is defined as the sum of the given numbers divide by the total number of numbers.
Hence we can write
[tex] Mean=\frac{80+90+10+75+90+95+99}{7}\\
\\
\text{here total number of numbers=7}\\
\\
Mean= \frac{539}{7}= 77\\
\\
\text{Hence the mean of the given set of data is }77\\
\\
\text{Now to find the median of the given set of data , rearrange the numbers}\\
\text{ in descending order}\\
\\
99,95,90,90,80,75,10\\
\\
\text{If the total number of number is odd, in this case 7, then the median is the }\\
\text{number in middle.}\\
\\
\text{Hence the median of the given set of data is }90\\ [/tex]
As the mean gets affected with the extreme values so median is the best representation of the centre.
Hence its median.
