Find the mean of first six even natural numbers

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Solution

The first six even natural numbers are $2, 4, 6, 8, 10, 12$ . There are six even numbers. Therefore, $N = 6$ . The observations are $x_{1} = 2, x_{2} = 4, x_{3} = 6, x_{4} = 8, x_{5} = 10, x_{6} = 12$ . Hence
$\sum x = 2 + 4 + 6 + 8 + 10 + 12 = 42$
Hence the mean is given by
$¯ ¯¯¯ ¯ X = \frac{\sum x}{N} = \frac{42}{6} = 7$ .

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