Suppose a population A has 100 observations 101, 102, ....., 200 and another population B has 100 observations 151, 152, ....., 250. If V<sub>A</sub> and V<sub>B</sub> represents variance of the two populations respectively, then <span class="math-tex">\(\frac {V_A}{V_B}\)</span> is
\[ \sigma_x^2 = \frac{\Sigma d_i^2}{n} \] Here, the deviations are taken from the mean. Since A and B both have 100 consecutive integers, they will have the same standard deviation and variance. \[ \frac{V_A}{V_B} = 1 \] (as \(\Sigma d_i^2\) is the same in both cases).
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