1.8 Standard Deviation

What does this symbol represent?

• Standard Deviation
• Variance
• Mean Absolute Deviation
• Sigma

What does standard deviation represent?

• How many different variations are in the data set.

• How the population varies compared to the sample.

• How spread out each data value is from the mean.

• The range, but with a bunch of other stuff going on.

All of the below sets have the same mean.
Set 1-Standard Deviation=3.1
Set 2-Standard Deviation=4.9
Set 3-Standard Deviation=1.7
Set 4-Standard Deviation=3.2
Which set of data probably has the points closest to the mean?

• 1
• 2
• 3
• 4

All of the below sets have the same mean.

Set 1-Standard Deviation=3.1

Set 2-Standard Deviation=4.9

Set 3-Standard Deviation=1.7

Set 4-Standard Deviation=3.2

Which set of data probably has the points furthest to the mean?

• 1
• 2
• 3
• 4

What does a standard deviation of 0 mean?

• There is no spread of data

• The spread of data is close to the mean

• The data is more spread out from the mean

• There is no mean

Both batters have the same average distance. Which one has a greater standard deviation?

• Batter A

• Batter B

• They have about the same standard deviation

Which golfer is more likely to hit the ball 320 yards?

• Golfer A

• Golfer B

Which sales person is more likely to sell 6 cars in a month?

• Sales person A

• Sales person B

If the standard deviation of a data set is 4, what is the variance?

• 2
• 16
• 4

In a population of five university students with GPAs of 2.5, 2.3, 1.7, 1.4, and 1.1, a sample of three students are considered. What would be the standard deviation of the resulting sampling distribution?

• 0.53

• 0.41

• 0.35

• 0.22