Quiz Z Scores Review

What is the purpose of z-scores?

• to describe the exact location of a score within a distribution

• to find the mean of the distribution

• to describe the shape of the distribution

• to find the standard deviation of the distribution

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CCSS.HSS.ID.A.4

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

• True

• False

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CCSS.HSS.ID.A.4

μ = 70 , σ = 8 , X = 50 . Find z score

• 2.5
• -2.5
• 5.2
• -5.2

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CCSS.HSS.ID.A.4

The mean temperature in Glens Falls for the month of February is 23 degrees with a standard deviation of 4.2 degrees. What is the z-score for a temperature of 17 degrees?

• 1

• 1.43

• -1.43

• 11.5

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CCSS.HSS.ID.A.4

1) What will be the miles per gallon for a Toyota Camry when the average mpg is 23, it has a z value of 1.5 and a standard deviation of 2?

• 25

• 20

• 26

• 68

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CCSS.HSS.ID.A.4

1) A group of data with normal distribution has a mean of 45. If one element of the data is 60, will the z-score be positive or negative?

• Positive

• Negative

• Neither

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CCSS.HSS.ID.A.4

Find the value for

P(Z > 1.78)

• 0.0376

• 0.0375

• 0.0446

• 0.2420

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CCSS.HSS.ID.A.4

Find the value for

P(Z < -0.386)

• 0.3498

• 0.3520

• 0.3501

• 0.6502

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CCSS.HSS.ID.A.4

Find the value for
P(Z > 2.46)

• 0.00714
• 0.99305
• 0.00695
• 0.99286

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CCSS.HSS.ID.A.4

Find the value for
P(0 < Z < 1.5 )

• 0.06681
• 0.43319
• 0.56681
• 0.93319

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CCSS.HSS.ID.A.4