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Sagot :
Mean is also known as an average value amoung a set of data points, results, and tests.
Mathematically, mean ( average ) is defined as a weighted sum of data points. This can be expressed in a symbolic form as follows:
[tex]\text{Mean = }\sum ^N_{n\mathop=1}(\frac{x_n}{N})[/tex]Where,
[tex]\begin{gathered} x_n\colon\text{ The set of data points and type of data} \\ N\colon\text{ The total number of data-points} \end{gathered}[/tex]We are given with the following set of data points:
[tex]x_1=40,x_2=100,x_3=25,x_4=90,x_5=85,x_6\text{ = 95}[/tex]And we have a total of:
[tex]N\text{ = 6 data points }[/tex]We will go ahead and plug in the respective values given into the formula for determining the mean value as follows:
[tex]\text{Mean = }\frac{x_{1\text{ }}+x_2+x_3+x_4+x_5+x_6}{N}[/tex]Plug in the respective data points as follows:
[tex]\text{Mean = }\frac{40\text{ + 100 + 25 + 90 + 85 + 95}}{6}[/tex]Evaluate as follows:
[tex]\begin{gathered} \text{Mean = }\frac{435}{6} \\ \text{\textcolor{#FF7968}{Mean = }}\textcolor{#FF7968}{72.5} \end{gathered}[/tex]The mean ( average ) value for the given set of data points is:
[tex]\textcolor{#FF7968}{72.5}[/tex]
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