Question

question 1 (1 point)
for each blank below type in a number that represents the percent asked for (do not add the \%\ sign).
in a normal distribution, percent of the data are above the mean, and percent of the data are below the mean.
similarly, 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.

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