Find the mean deviation of 1, 2, 3, and 4.
A
1.0
B
2.0
C
2.5
D
1.5
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
M.D = \(\frac{\sum{(|x - \overline{x}|)}}{\text{n}}\)
\(\overline{x}\) = \(\frac{1 + 2 + 3 + 4}{4}\) = \(\frac{10}{4}\) = 2.5
M. D = \(\frac{| 1 - 2.5| + | 2 - 2.5 | + | 3 - 2.5 | + | 4 - 2.5|}{4}\) = \(\frac{ 1.5 + 0.5 + 0.5 + 1.5}{4}\)
M.D = \(\frac{4.0}{4}\) = 1.0
Source: WAEC / JAMB / NECO Classroom Archive (Record #78180)