Calculate the standard deviation of the following scores 5, 4, 6, 7, and 8
A
\(\sqrt{2}\)
B
\(\sqrt{3}\)
C
2
D
3
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
mean = \(\frac{ 4 + 5 + 6 + 7 + 8}{5}\) = 6
x
x - mean
(x - mean)\(^2\)
4
4 - 6 = -2
4
5
5 - 6 = -1
1
6
6 - 6 = 0
0
7
7 - 6 = 1
1
8
8 - 6 = 2
4
Variance = \(\frac{10}{5}\)
S.D = \(\sqrt{variance}\) = \(\sqrt{2}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #70289)