Question

the following data points represent the weight (in kilograms) of each of newmans 4 dogs. 6,5,13,8 find the standard deviation of the data set. round your answer to the nearest hundredth.

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{6 + 5+13+8}{4}=\frac{32}{4}=8$.

Step2: Calculate the squared - differences

$(6 - 8)^2=(-2)^2 = 4$; $(5 - 8)^2=(-3)^2 = 9$; $(13 - 8)^2=5^2 = 25$; $(8 - 8)^2=0^2 = 0$.

Step3: Calculate the variance

The variance $s^{2}=\frac{4 + 9+25+0}{4}=\frac{38}{4}=9.5$.

Step4: Calculate the standard deviation

The standard deviation $s=\sqrt{9.5}\approx3.08$.

Answer:

$3.08$