Exploring Normal Distribution and Standard Deviation

What statistical measures are primarily focused on in this course?

• Mean and Standard Deviation

• Median and Mode

• Range and Interquartile Range

• Variance and Covariance

What symbol represents the population mean?

• X-bar

• mu

• s

• Sigma

What is the primary difference between mu and X-bar?

• Mu is used for sample mean, X-bar for population mean

• Mu and X-bar both represent population mean

• There is no difference, both are used interchangeably

• Mu represents population mean, X-bar represents sample mean

How is the sample standard deviation calculated differently from the population standard deviation?

• No difference in calculation

• Take the cube root instead of the square root

• Square the differences instead of taking the square root

• Divide by n-1 instead of n

What does the standard deviation indicate about a data set?

• The total sum of the data

• The spread of the data

• The median of the data

• The mean of the data

What is variance in terms of standard deviation?

• The mean of standard deviations

• Standard deviation squared

• Standard deviation divided by the mean

• The square root of standard deviation

Which graphing tool is suggested for calculating statistical measures?

• None, calculations are manual

• Graphing calculator

• Abacus

• Scientific calculator

Which distribution had the highest mean in the example given?

• Distribution D

• Distribution C

• Distribution B

• Distribution A

Which distribution had the smallest standard deviation?

• Distribution A

• Distribution B

• Distribution C

• Distribution D

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

• About 68%

• About 50%

• About 99.7%

• About 95%