// Numbas version: finer_feedback_settings
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I.e., remember to use the correct formula for the variance.</p>\n<p>\\[ \\var{biglist}\\]</p>", "advice": "<p><strong>Mean:</strong></p>\n<p>The mean is calculated using the formula</p>\n<p>\\[ \\bar{x} = \\frac{1}{n}\\sum_{i=1}^n x_i .\\]</p>\n<p>This gives the value of $\\var{mean}$.</p>\n<p><strong>Median:</strong></p>\n<p>The list in ascending order is</p>\n<p>\\[ \\var{sorted}.\\]</p>\n<p>So the median is $\\var{median}$.</p>\n<p><strong>Mode:</strong></p>\n<p>The mode is the most frequently occuring value: $\\var{mode}$. The frequencies are displayed below.</p>\n<p>$\\var{frequencies}$</p>\n<p>(There is a possibility that this sample may multiple modes, so don't worry too much if it marks the answer wrong.)</p>\n<p><strong>Variance:</strong><strong></strong></p>\n<p>The formula for a&nbsp;<em>sample</em> variance is</p>\n<p>\\[s^2 = \\frac{1}{n-1}\\sum_{i=1}^n (\\bar{x} - x_i)^2.\\]</p>\n<p>This gives the value of $\\var{vardp}$.</p>\n<p><strong>Standard Deviation:</strong></p>\n<p>The&nbsp;<em>sample</em> standard deviation is the positive square root of the&nbsp;<em>sample</em> variance, which is calculated here as $s = \\sqrt{\\var{vardp}} = \\var{sddp}$.</p>\n<p><strong>Range:</strong></p>\n<p>The range is the difference between the maximum value ($\\var{max}$) and the minimum value ($\\var{min}$). 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