Calculate the standard deviation of the following data: 7, 8, 9, 10, 11, 12, 13
A
2
B
4
C
12
D
17
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
x
x - x
(x - x)\(^2\)
7
8
9
10
11
12
13
-3
-2
-1
0
1
2
3
9
4
1
1
0
4
9
--------------
28
S.D = \(\frac{\sqrt\sum (x - x)^2}{N} = \frac{\sum d^2}{N} = \frac{\sqrt{28}}{7}\)
= \(\sqrt{4}\)
= 2
Source: Myschool Past Questions Archive (Record #56826)