Variance, Standard Deviation, Z-Scores & Percentiles

Estimate the standard deviation of the following data set using the Range Rule of Thumb: 3, 5, 12, 2, 9, 7, 19, 22

• 4

• 4.75

• 5

• 5.2

If the Standard Deviation of a set of data is 2.6, and using the range rule of thumb, you estimate it to be 3, is this a good approximation?

• Yes, it is not exact but it is in the ballpark

• No

If a bowler needs to hit exactly 6 pins, which bowler is more reliable to hit that number?

• Bowler A
• Bowler B
• Both
• Neither

A data set with a small standard deviation would have data values that are _____________________________________.

• clustered closely around the mean.

• spread out from the mean.

• very high in value.

• spread out from one another.

If a bowler needs to hit exactly 6 pins, which bowler is more reliable to hit that number?

• Bowler A
• Bowler B
• Both
• Neither

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

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 6.89

• 10.1

• 7.26

• 9

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

• 2
• 16
• 4

What is the variance for the data given:
5, 10, 7, 12, 0, 20, 15, 22, 8, 2

• 47.47
• 102.01
• 52.77
• 81