Answer:
(D)
Step-by-step explanation:
The given data set is:
18, 19, 20, 21, 22
Mean of the given data set is given as:
[tex]Mean=\frac{18+19+20+21+22}{5}[/tex]
[tex]Mean=\frac{100}{5}[/tex]
[tex]Mean=20[/tex]
Now,
Data values [tex](x-{\overline{x})^2[/tex]
18 4
19 1
20 0
21 1
22 4
Now, variance is given as:
[tex]V=\frac{4+1+0+1+4}{5}[/tex]
[tex]V=2[/tex]
The standard deviation is the square root of the variance, thus
[tex]SD=\sqrt{V}[/tex]
[tex]SD=\sqrt{2}[/tex]
Thus, option (D) is correct.
