Question

find the standard deviation of the given data.\\(overline{x} = 8\\)\
next, subtract the mean from each data point.\
\\(\

$$\begin{array}{c|c|c|c|c} \\text{data} & 5 & 6 & 8 & 13 \\\\ \\text{data} - \\overline{x} & -3 & -2 & ? & \\square \\\\ \\end{array}$$

\\)\
\\(8 - 8 = ?\\)

Explanation:

Step1: Identify the formula

To find \( \text{Data} - \overline{X} \) for the data point 8, we use the formula \( \text{Data point} - \text{Mean} \).

Step2: Substitute the values

Here, the data point is 8 and the mean \( \overline{X} = 8 \). So we calculate \( 8 - 8 \).
\( 8 - 8 = 0 \)

Answer:

\( 0 \)