Standard Deviation & Z-Scores

If multiple sets of data have the same mean, then they have the same standard deviation.

• True

• False

A sample data set has mean of 45 and standard deviation of 8. What is -1 standard deviation from the mean?

• 45

• 53

• 37

• 38

What is the z-score if the standard deviation is 5, the mean is 40, and the value is 45?

• -5

• 5

• -1

• 1

What is the z-score if the standard deviation is 10, the mean is 50, and the value is 30?

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What is the Z-Score if the standard deviation is 10, the mean is 50, and the value is 65?

• -2

• 1.5

• 15

• -15

What does this symbol represent?

• Standard Deviation
• Variance
• Mean Absolute Deviation
• Sigma

What is the correct formula for finding z-scores?

The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean.

• True

• False

Find the z-score value corresponding if the location is below the mean by 2 standard deviations

• +2.00

• -2.00

• +1.25

• -1.00

Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations

• -0.50

• +1.00

• +0.50

• -1.00