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WAEC Mathematics 2023 Paper

Question : 50

Total: 50

Find the mean deviation of assets of numbers: 14, 15, 16, 17, 18, and 19.

Solution:

Concept:

Mean deviation measures the average absolute distance between each data value and the mean of the data set.

Explanation:

First, find the mean of the numbers:

\bar{x} = \frac{14+15+16+17+18+19}{6} = \frac{99}{6} = 16.5

Now find each deviation from the mean, ignoring negative signs (absolute values):

|14-16.5| = 2.5

|15-16.5| = 1.5

|16-16.5| = 0.5

|17-16.5| = 0.5

|18-16.5| = 1.5

|19-16.5| = 2.5

Sum these absolute deviations:

2.5 + 1.5 + 0.5 + 0.5 + 1.5 + 2.5 = 9

Divide the sum by the number of values:

\text{Mean deviation} = \frac{9}{6} = 1.5

Answer:

Option C.

1.5

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