If the mean of 20 observations, namely \( x_1, x_2, x_3, \dots, x_{20} \) is 1.414, then what is the value of \( \sum_{i=1}^{20} 100(2x_i + 4) \) ?

Explanation

The sum of the 20 observations is 20 * 1.414 = 28.28. The required expression is 100 * (2 \sum x_i + 20 * 4) = 100 * (2 * 28.28 + 80) = 100 * (56.56 + 80) = 100 * 136.56 = 13656.

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