Use the Frequency Distribution to Find the Mean and the Sample

question 178

Multiple Choice

Use the frequency distribution to find the mean and the sample standard deviation. Does the data form a normal distribution? Remember: if the data fall within 2% of the empirical rule of 68%, 95%, and 99.7% for one, two, or three standard deviations, respectively, they form a normal distribution.   $\begin{array}{|ccc|}\hline \text { Interval } & \text { Midpoint x }& \text {Frequency t }\\\hline42.5-50.5 && 9 \\50.5-58.5 && 45 \\58.5-66.5 && 205 \\66.5-14.5 && 190 \\14.5-82.5 && 44 \\82.5-90.5 && 20\\\hline\end{array}$

• A) The mean is 62. The sample standard deviation is 9.2. The data doesn't form a normal distribution.
• B) The mean is 60. The sample standard deviation is 6.2. The data doesn't form a normal distribution.
• C) The mean is 60. The sample standard deviation is 6.2. The data forms a normal distribution.
• D) The mean is 67. The sample standard deviation is 7.7. The data doesn't form a normal distribution.
• E) The mean is 67. The sample standard deviation is 7.7. The data forms a normal distribution.

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