Question

compute the standard deviation for the set of data.
2,4,6,8,10
a. 2.83
c. 6.32
b. 8
d. 64
please select the best answer from the choices provided
o a
o b
o c
o d

Explanation:

Step1: Calculate 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

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

Step4: Calculate the standard deviation

$s=\sqrt{8}\approx2.83$

Answer:

A. 2.83