waecmaths question:
Find the mean deviation; 10, 12, 14, 15, 17, 19
Option A:
2.5
Option B:
2.6
Option C:
2.7
Option D:
2.8
waecmaths solution:
$\overline{x}=\frac{10+12+14+15+17+19}{6}=\frac{8.7}{6}=14.5$
|
x |
$d=x-\overline{x}$ |
$\left| d \right|$ |
|
10 |
–4. 5 |
4.5 |
|
12 |
–2.5 |
2.5 |
|
14 |
–0.5 |
0.5 |
|
15 |
0.5 |
0.5 |
|
17 |
2.5 |
2.5 |
|
19 |
4.5 |
4.5 |
\[mean\text{ }deviation=\frac{\sum \left| d \right|}{\sum f}=\frac{4.5+2.5+0.5+0.5+2.5+4.5}{6}=\frac{15}{6}=2.5\]
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