Calculate the mean deviation of the first five ... - JAMB Mathematics 2023 Question
Calculate the mean deviation of the first five prime numbers.
The mean deviation (or average deviation) of a set of values from their mean is calculated using the formula:
\[ \text{Mean Deviation} = \frac{\sum_{i=1}^{n} |X_i - \bar{X}|}{n},\]
where \(X_i\) is each individual value, \(\bar{X}\) is the mean of the values, and \(n\) is the number of values.
The first five prime numbers are 2, 3, 5, 7, and 11. Let's calculate the mean deviation:
\[ \bar{X} = \frac{2 + 3 + 5 + 7 + 11}{5} = \frac{28}{5} = 5.6.\]
Now, calculate the mean deviation:
\[ \text{Mean Deviation} = \frac{|2 - 5.6| + |3 - 5.6| + |5 - 5.6| + |7 - 5.6| + |11 - 5.6|}{5}\]
\[ = \frac{3.6 + 2.6 + 0.6 + 1.4 + 5.4}{5} = \frac{13.2}{5} = 2.64.\]
Therefore, the correct answer is approximately 2.72
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