Question

find the standard deviation of the given data.
$overline{x} = 8$
next, find the square of the differences.
data \t 5 \t 6 \t 8 \t 13
data $- overline{x}$ \t $-3$ \t $-2$ \t $0$ \t $5$
$(\text{data} - \overline{x})^2$ \t ? \t \t \t
$(-3)^2 = ?$

Explanation:

Step1: Recall squaring a negative number

To find \((-3)^2\), we use the rule that the square of a negative number is positive, and we multiply the number by itself.
\((-3)^2 = (-3)\times(-3)\)

Step2: Calculate the product

Multiplying \(-3\) by \(-3\) gives \(9\) since a negative times a negative is a positive.
\((-3)\times(-3)=9\)

Answer:

9