Question

find the standard deviation of the given data.
\\(overline{x} = 8\\)
next, subtract the mean from each data point.
data: 5, 6, 8, 13
data - \\(overline{x}\\): -3, -2, 0, ?
\\(13 - 8 = ?\\)

Explanation:

Step1: Identify the formula

To find \( \text{Data} - \overline{x} \) for the data point 13, we use the formula \( \text{Data point} - \text{Mean} \).

Step2: Substitute the values

We know the data point is 13 and the mean \( \overline{x} = 8 \). So we calculate \( 13 - 8 \).
\( 13 - 8 = 5 \)

Answer:

5