Exploring Standard Deviation in Depth

What is the most commonly used measurement of variation in a data set?

• Mean

• Range

• Interquartile Range

• Standard Deviation

In the context of standard deviation, what does 'x bar' represent?

• Mean

• Mode

• Range

• Median

What is the sample mean of the given data set in Exercise 1?

• 77.7

• 5.5

• 83.2

• 83.8

How do you calculate the interval for values within one standard deviation from the mean?

• Divide the mean by the standard deviation

• Multiply the mean by the standard deviation

• Add and subtract the mean from the standard deviation

• Add and subtract the standard deviation from the mean

What percentage of data typically falls within one standard deviation of the mean?

• 50%

• 95%

• 67%

• 99%

In Exercise 2, what is the two standard deviation interval for marathon times?

• 100 to 300 minutes

• 152 to 404 minutes

• 250 to 450 minutes

• 200 to 350 minutes

What range represents the typical number of words spelled correctly in Exercise 3?

• 13 to 29

• 10 to 40

• 20 to 30

• 5 to 37

Why is Mia's score of 41 words spelled correctly considered highly unusual?

• It falls within two standard deviations

• It falls within one standard deviation

• It is outside the two standard deviation interval

• It is the highest score possible

In Exercise 4, what is the one standard deviation interval for vehicle speeds?

• 55 to 75 mph

• 50 to 86.8 mph

• 60 to 80 mph

• 59.2 to 77.6 mph

What is the typical speed range that people drive on the interstate according to Exercise 4?

• 59 to 78 mph

• 55 to 75 mph

• 50 to 86.8 mph

• 60 to 80 mph