Curving
The Normal Curve
Z scores
T scores & SAT scores
100

If a student earns a 45 on a test, but it is the highest score in the class, what letter grade would the student receive after a curve?

A

100

This is the percent of normally distributed scores within 1 standard deviation.

68

100

This is the Z score formula.

100

Z = -1, find the T score.

40

200

Every student in a class scores in the 90s on a quiz, but one student scores 89.  What is the curved score, as a letter grade?

F

200

95% of normally distributed scores fall within this many standard deviations.

2

200

A student earns an 82 on a test and a Z score of zero. What was the mean?

82

200

PSAT scores were formerly represented with this type of score.

T score

300

It is bell-shaped and symmetric

The Normal Curve

300

This is the percent of scores between the +1 SD and +2 SD on the normal curve.

13.5%

300

SAT = 800, find the Z score.

+3

300

List 3 types of standard scores

Z scores, T score & SAT scores

400

A college sets a policy that professors must curve and only students who earn above +2 SD receive an A. What percent of students earn an A?

2.5%

400

A set of scores are normally distributed.  The mean and standard deviation are unknown. What percent of scores lie above the mean?

50

400

To determine a Z score given a raw score, the standard deviation. This is the formula for standard deviation.

400

A student's raw score = the class mean.  Find the SAT score.

500

500

When does curving hurt a student's score?

When they did well or average, but worse than most of the class.

500

In a class of 100 students, this is the percentile of the student who earned the highest score on a test.

99th

500

T = 30, find Z using mental math (no calculator, no written work -- just write the answer).

Z = -2

500

This is the standard deviation for T scores

10