question 1 (1 point)\nfor each blank below type in a number that represents the percent asked for (do not…

question 1 (1 point)\nfor each blank below type in a number that represents the percent asked for (do not add the \%\ sign).\nin a normal distribution, percent of the data are above the mean, and percent of the data are below the mean.\nsimilarly, percent of all data points are within 1 standard deviation of the mean, percent of all data points are within 2 standard deviations of the mean, and percent are within 3 standard deviations of the mean.
Answer
Explanation:
Step1: Properties of normal distribution
A normal distribution is symmetric about the mean. So, 50 percent of the data are above the mean and 50 percent of the data are below the mean.
Step2: Empirical rule (68 - 95 - 99.7 rule)
The empirical rule states that for a normal distribution:
- Approximately 68 percent of all data points are within 1 standard deviation of the mean.
- Approximately 95 percent of all data points are within 2 standard deviations of the mean.
- Approximately 99.7 percent of all data points are within 3 standard deviations of the mean.
Answer:
50, 50, 68, 95, 99.7