Question

find the standard deviation for the group of data items. 3,4,5,6,7 the standard deviation is (round to two decimal places as needed)

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{3 + 4+5+6+7}{5}=\frac{25}{5}=5$

Step2: Calculate the squared differences

$(3 - 5)^2=(-2)^2 = 4$, $(4 - 5)^2=(-1)^2 = 1$, $(5 - 5)^2=0^2 = 0$, $(6 - 5)^2=1^2 = 1$, $(7 - 5)^2=2^2 = 4$

Step3: Calculate the variance

The variance $s^{2}=\frac{4 + 1+0+1+4}{5}=\frac{10}{5}=2$

Step4: Calculate the standard deviation

The standard deviation $s=\sqrt{2}\approx1.41$

Answer:

$1.41$