Solve for $$ s $$, given the formula: $$ s^{2}=\frac{(x-\bar{x})^{2}}{N-1} $$ Where $$ \bar{x}=-15, N=17 $$ and $$ x=-29 $$ Round the answer to three decimal places, if needed. $$ s=\square $$ Calculator

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UpStudy AI · Accepted Answer

We start with the formula
$$
s^{2} = \frac{(x-\bar{x})^{2}}{N-1}
$$

**Step 1: Substitute the given values.**

Given $$\bar{x} = -15$$, $$N = 17$$, and $$x = -29$$, we substitute to get:
$$
s^{2} = \frac{(-29 - (-15))^{2}}{17-1}
$$

**Step 2: Simplify the expression inside the parentheses.**

$$
-29 - (-15) = -29 + 15 = -14
$$
Thus,
$$
s^{2} = \frac{(-14)^{2}}{16}
$$

**Step 3: Compute the square and simplify.**

$$
(-14)^{2} = 196
$$
Now,
$$
s^{2} = \frac{196}{16}
$$
$$
s^{2} = 12.25
$$

**Step 4: Solve for $$ s $$.**

Taking the square root of both sides:
$$
s = \sqrt{12.25} = 3.5
$$

Rounded to three decimal places:
$$
s = 3.500
$$

Thus, the final answer is:
$$
s = 3.500
$$
$$ s = 3.500 $$

Solve for , given the formula:
Where and
Round the answer to three decimal places, if needed.

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