You Roll a Pair of Dice 36 Times and Get }">$\text { cellpadding }=" 0 " \text { cellspacing }=" 0 " \text { width }=54 \% \text { " border="0"> }$

Short Answer

You roll a pair of dice 36 times and get the following set of data. The far column is the expected frequency.
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$$\begin{array} { l l l } \text { Outcome } & \text { Frequency } & \text { Expected } \\2 & 1 & 1 \\3 & 3 & 2 \\4 & 3 & 3 \\5 & 2 & 4 \\6 & 5 & 5 \\7 & 6 & 6 \\8 & 6 & 5 \\9 & 2 & 4 \\10 & 2 & 3 \\11 & 2 & 2 \\12 & & 1\end{array}$$ What is the standard deviation of your data, rounded to the nearest tenth? __________ Is this greater or less than the expected standard deviation? __________ By how much, rounded to the nearest tenth? __________