You Roll a Pair of Dice 36 Times and Get }">$\text { cellpadding }=" 0 " \text { cellspacing }=" 0 " \text { width }=" 58 \% " \text { border="0"> }$

Multiple Choice

You roll a pair of dice 36 times and get the following set of data. The far column is the expected frequency. }">$\text { cellpadding }=" 0 " \text { cellspacing }=" 0 " \text { width }=" 58 \% " \text { border="0"> }$

$$\begin{array} { l l l } \text { Outcome } & \text { Frequency } & \text { Expected } \\2 & 0 & 1 \\3 & 2 & 2 \\4 & 2 & 3 \\5 & 2 & 4 \\6 & 5 & 5 \\7 & 9 & 6 \\8 & 6 & 5 \\9 & 3 & 4 \\10 & 4 & 3 \\11 & 2 & 2 \\12 & 1 & 1\end{array}$$ Choose the answer that identifies your standard deviation and correctly compares it to the expected standard deviation.

A) your standard deviation: $2.2$ This is less than the expected standard deviation by $0.2$
B) your standard deviation: $4.84$ This is less than the expected standard deviation by $0.92$
C) your standard deviation: $2.4$ This is equal to the expected standard deviation.
D) your standard deviation: $2.4$ This is greater than the expected standard deviation by $0.2$
E) your standard deviation: $2.4$ This is less than the expected standard deviation by $0.2$