Question

compute the standard deviation for the set of data. 2,4,6,8,10 a. 2.83 b. 8 c. 8.32 d. 64 please select the best answer from the choices provided

Explanation:

Step1: Calculate the mean

The mean $\bar{x}=\frac{2 + 4+6 + 8+10}{5}=\frac{30}{5}=6$

Step2: Calculate the squared differences

$(2 - 6)^2=(-4)^2 = 16$, $(4 - 6)^2=(-2)^2=4$, $(6 - 6)^2=0^2 = 0$, $(8 - 6)^2=2^2=4$, $(10 - 6)^2=4^2=16$

Step3: Calculate the variance

The variance $s^{2}=\frac{16 + 4+0 + 4+16}{5}=\frac{40}{5}=8$

Step4: Calculate the standard deviation

The standard deviation $s=\sqrt{8}\approx2.83$

Answer:

A