Exploring the Empirical Rule in Normal Distribution

The video tutorial covers the empirical rule in normal distribution, explaining how data is distributed around the mean using standard deviations. It introduces the 68-95-99.7 rule, which describes the percentage of data within one, two, and three standard deviations from the mean. The tutorial includes practical examples and problem-solving exercises to apply the empirical rule, helping students understand data distribution and analysis.

What is the empirical rule used for in normal distributions?

• To predict the percentage of data within certain standard deviations

• To find the median

• To determine the range of data

• To calculate the mean

In a normal distribution, where is the mean located?

• At the right end

• At the left end

• In the middle

• It varies

If the mean battery life of a phone is 10 hours with a standard deviation of 0.5 hours, what is the battery life at one standard deviation above the mean?

• 9.5 hours

• 10.5 hours

• 11 hours

• 10 hours

According to the empirical rule, what percentage of data falls within one standard deviation of the mean?

• 50%

• 99.7%

• 95%

• 68%

What percentage of data falls within two standard deviations of the mean in a normal distribution?

• 50%

• 95%

• 68%

• 99.7%

What is the empirical rule also known as?

• The mean rule

• The 50-50 rule

• The 68-95-99.7 rule

• The standard deviation rule

Which type of plot breaks data into quartiles?

• Normal curve

• Scatter plot

• Box-and-whisker plot

• Histogram

What does the sigma (σ) symbol represent in statistics?

• Median

• Mean

• Sample data

• Population data

If 50% of the data is greater than the mean, what percentage is less than the mean?

• 25%

• 75%

• 100%

• 50%

What percentage of data falls between one and two standard deviations above the mean?

• 34%

• 13.5%

• 2.35%

• 0.15%