Unit 2 Review

A student takes both the ACT and the SAT. They scored 680 on the SAT math test, which had a mean of 528 and standard deviation of 117.

Calculate the z-score of the student's SAT score.

• 0.75
• 1.50
• 1.30
• 2.00

Tags

CCSS.HSS.ID.A.4

The same student also took the ACT and scored a 27 on the math portion, with a mean of 20.5 and standard deviation of 5.5. Calculate the z-score for the student's ACT math score.

• 2.00
• 1.05
• 0.75
• 1.18

Tags

CCSS.HSS.ID.A.4

Based on your answers to the previous two questions, which test did the student have a better score relatively speaking?

• ACT

• SAT

Tags

CCSS.RI.11-12.7

CCSS.RI.9-10.7

CCSS.RL.11-12.7

CCSS.RL.8.7

CCSS.RL.9-10.7

A vet tech is collecting data on the weight of dogs. After weighing several dogs, she notices that the scale was calibrated wrong and corrected by adding to 3 pounds to each recorded weight. Select all that apply.

• The shape of the distribution would stay the same.

• The mean would increase by 3 pounds.

• The median would stay the same.

• The IQR would increase by 3 pounds.

• The standard deviation would stay the same.

Which of the following remains the same when every value in a data set is doubled?

• Standard Deviation

• Shape of the Distribution

• Mean
• Range

A distribution's density curve appears roughly symmetric and is single peaked. For this particular density curve, 78% of the data lies within one standard deviation from the mean.

(T/F) The distribution is approximately normal.

• True
• False

A distribution has a mean of 37 and a standard deviation of 2.9.

What value would result in a z-score of -0.51? (Do not round)

Tags

CCSS.HSS.ID.A.4

For a normal distribution, a value with a z-score of 1.35 will be at the 25th percentile.

• True
• False

Tags

CCSS.HSS.ID.A.4

Describe the shape distribution.

• Left-skewed

• Right-skewed

• Symmetric

• Uniform

How do you calculate the proportion of data to the right of a z-score?

• (area from table A) - 1

• 1 - (area from table A)

• 1 + (area from table A)

• area from table A only

Tags

CCSS.HSS.ID.A.4