Question

calculate the standard deviation of the numbers 9, 14, and 19.
$s_x=square$ (do not round)

Explanation:

Step1: Calculate the mean

$\bar{x}=\frac{9 + 14+19}{3}=\frac{42}{3}=14$

Step2: Calculate the squared - differences

$(9 - 14)^2=(-5)^2 = 25$, $(14 - 14)^2=0^2 = 0$, $(19 - 14)^2=5^2 = 25$

Step3: Calculate the variance

$s^2=\frac{25+0 + 25}{3 - 1}=\frac{50}{2}=25$

Step4: Calculate the standard deviation

$s=\sqrt{25}=5$

Answer:

$5$