A set of data has 68.4% of the data within one standard deviation of the mean. 94.6% of the data is within two standard deviations of the mean. Which of the following statements indicate the data are normally distributed?
a. Approximately 99.5% of the data are within three standards deviations of the mean.
b. Approximately 99.7% of the data are within two standards deviations of the mean.
c. Approximately 90% of the data are within three standard deviations of the mean.
d. Approximately 90% of the data are within two standard deviation of the mean.
The correct statement that indicates the data are normally distributed is:
a. Approximately 99.5% of the data are within three standard deviations of the mean.