The following calculator will find mean, mode, median, lower and upper quartile, interquartile range... of the given data set. The calculator will generate a step by step explanation on how to find these values.
solution
You entered the following data set:
$$\begin{array}{cccc}5.14&5.14&5.17&5.20\\5.20&5.18&5.15&5.15\\5.16&5.16&&\end{array} $$The mean value of the data set is:
$$ \mu =\frac{ 1033 }{ 200 }= 5.165 $$explanation
The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:
$$ Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms} $$In this example:
$$ \begin{aligned}Sum ~ of ~ terms~&=~5.14~+~5.14~+~5.17~+~5.20~+~5.20~+~\cdots +~5.16~=~51.65\\ Number ~ of ~ terms &= 10 \\ Mean & = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms} \\ Mean & = \frac{ 51.65 }{ 10 } \\ Mean &= \frac{ 1033 }{ 200 } \end{aligned} $$Please tell me how can I make this better.