Question 50

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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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