Distribution and Solve

Find the z-score with 4-% of the observations falling below it.

• z=-0.25

• z=-0.33

• z=0.25

• z=0.33

Find the z-score with 20% of observations falling above it.

• z=-0.84

• z=1.84

• z=-1.84

• z=0.84

IQ tests have a mean of 100 and SD of 16. Einstein's IQ was 160. What is the z-score of his IQ?

• 1.75

• 3.75

• 0.75

• 2.75

Pat and Tom took a test with mean 80 and SD 9. Pat scored a 76; Tom scored a 94. Find the percent of people between their scores.

• 68.78%

• 63.29%

• 65.14%

• 34.25%

A 5th grader takes a test (mean=125, SD=15) and scores a 148. What is the child's percentile rank?

• 93%

• 68%

• 7%

• 99.7%

Z-score of 2.5 on an IQ test is considered a genius (mean=100, SD=16). What score makes someone a genius? Hint: SOLVE for X

• 89.2

• 130

• 99.38

• 140

Mean=11, SD=30. Find the raw score (X) for z=-1.5

• 35

• 45

• 55

• 65

Test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored above 62?

• 1.39%

• 45.34%

• 98.41%

• 22.34%

Test has a mean of 40, standard deviation of 10. What is the percent of people with a score below 37?

• 52.97%

• 31.53%

• 48.99%

• 38.21%

A test has a mean of 40 and a standard deviation of 10. What is the percent of people that scored between 30 and 40?

• 68%

• 34%

• 13.6%

• 100%