find the standard deviation for the group of data items. 3,4,5,6,7 the standard deviation is (round to two…

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

For (3): ((3 - 5)^2=(- 2)^2 = 4) For (4): ((4 - 5)^2=(-1)^2 = 1) For (5): ((5 - 5)^2=0^2 = 0) For (6): ((6 - 5)^2=1^2 = 1) For (7): ((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)