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.
Interval Midpointx Frequency f42.5 - 50.5 950.5 - 58.5 4558.5 - 66.5 20566.5 - 74.5 19074.5 - 82.5 4482.5 - 90.5 20
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.
Answer: D
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