Exploring Normal Distribution Concepts

The video tutorial explains the concept of normal distribution, a key statistical tool used to analyze data. It covers the characteristics of normal distribution, including the mean and standard deviations, and how data is distributed around the mean. The tutorial uses examples like IQ scores to illustrate how data falls within one, two, and three standard deviations. It also discusses the percentages of data within these deviations and how to calculate them. The video concludes with practical applications of normal distribution in data analysis.

What is a negatively skewed data set?

• A data set with no skew.

• A data set where the mean and median are equal.

• A data set where the mean is higher than the median.

• A data set where the mean is lower than the median.

Which of the following is an example of a metric that tends to follow a normal distribution?

• Daily stock prices

• Monthly rainfall

• IQ scores

• Number of cars in a parking lot

What percentage of data falls within one standard deviation of the mean in a normal distribution?

• 99.7%

• 50%

• 95%

• 68%

If the mean IQ is 100 with a standard deviation of 15, what IQ score is two standard deviations above the mean?

• 145

• 160

• 115

• 130

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

• 68%

• 95%

• 99.7%

• 34%

How much data falls between two and three standard deviations from the mean?

• 2.35%

• 68%

• 13.5%

• 34%

What is the total percentage of data that falls within three standard deviations of the mean?

• 68%

• 100%

• 95%

• 99.7%

If you want to find the percentage of data below three standard deviations from the mean, what is the first step?

• Divide 99.7% by 2

• Multiply 99.7% by 2

• Add 99.7% to 100%

• Subtract 99.7% from 100%

What is the percentage of data that falls below three standard deviations from the mean?

• 1.5%

• 3%

• 0.3%

• 0.15%

To find the percentage of data above two standard deviations below the mean, which percentages should you add?

• 34%, 50%, and 2.35%

• 50%, 13.5%, and 2.35%

• 34%, 13.5%, and 2.35%

• 50%, 34%, and 13.5%