Test Index

WAEC Further Mathematics 2019 Paper

Question : 20

Total: 39

Calculate the mean deviation of 5, 8, 2, 9 and 6

Solution:

Concept:

Mean deviation measures the average distance of each data value from the mean.

Explanation:

Given data:

5, 8, 2, 9, 6

Mean:

\overline{x} = \frac{5+8+2+9+6}{5} = \frac{30}{5} = 6

Find absolute deviations from the mean:

|5-6| = 1

|8-6| = 2

|2-6| = 4

|9-6| = 3

|6-6| = 0

Sum of absolute deviations

= 1 + 2 + 4 + 3 + 0 = 10

Mean deviation

= \frac{\sum |x - \overline{x}|}{n} = \frac{10}{5} = 2

Answer:

2

Correct option: D

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