Consider the Following Data Set $\begin{array} { l l l l l l l l l l } 46 & 49 & 50 & 52 & 52 & 53 & 56 & 58 & 63 & 71 \end{array}$

question 144

Multiple Choice

Consider the following data set: $\begin{array} { l l l l l l l l l l } 46 & 49 & 50 & 52 & 52 & 53 & 56 & 58 & 63 & 71 \end{array}$
Note: $\bar { x } = 55$ and $s = 7.4$
Also consider the graph of the data set:

Chebychev's rule says that at least 0.75% of the observations lie within 2 standard deviations to either side of the mean. What percentage of the observations actually lie within 2 standard Deviations to either side of the mean?

• A)90%
• B)58%
• C)68%
• D)80%