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find the standard deviation of the given data. (overline{x} = 8) next, …

Question

find the standard deviation of the given data.
(overline{x} = 8)
next, find the square of the differences.
data: 5, 6, 8, 13
data - (overline{x}): -3, -2, 0, 5
((\text{data} - overline{x})^2): 9, 4, ?, ?
((0)^2 = ?)

Explanation:

Step1: Recall the formula for squaring a number

To find the square of a number \( n \), we use the formula \( n^2=n\times n \). Here, the number is \( 0 \), so we need to calculate \( 0^2 \).

Step2: Calculate the square of 0

Using the formula \( n^2 = n\times n \), for \( n = 0 \), we have \( 0^2=0\times0 = 0 \).

Answer:

\( 0 \)