Introduction to statistics

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Question

Find the Variance of the data: 6, 8, 10, 12, 14, 16, 18,20, 22,24

Moderate

Solution

Let 14 be assumed mean. The number of observations is n=10.

$Therefore, Mean \bar{x} = assumed mean + \frac{\sum_{i = 1}^{n} d_{i}}{n} \times h$
$= 14 + \frac{5}{10} \times 2 = 15$
$and Variance (σ^{2}) = \frac{1}{n} \times {(x_{i} - \bar{x})}^{2} = \frac{1}{10} \times 330 = 33$

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