The mean of the numbers 15, 21, 17, 26, 18, and 29 is 21. Calculate the standard deviation
A
9
B
6
C
5
D
0
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
x
x - \(\overline{x}\))\(^2\)
(x - \(\overline{x}\))\(^2\)
15
21
17
26
18
29
-6
0
-4
5
-3
-8
36
0
16
25
9
64
\(\sum (x - \overline{x})^2\) = 150
Standard deviation = \(\sqrt{\frac{ \sum (x - \overline{x})^2}{n} }\)
= \(\frac{150}{6}\)
= \(\sqrt{25}\)
= 5
Source: Myschool Past Questions Archive (Record #58337)