Normal distribution

Find the z-score for 75 given a mean of 60 and a standard deviation of 6.

• -2.5

• 2.5

• -1.15

• 1.15

Find the z-score for 48 given a mean of 50 and a standard deviation of 5.

• 2.5

• -2.5

• -0.4

• 0.4

Find the z-score for 258 given a mean of 273 and a standard deviation of 5.

• 3

• -2

• 2

• -3

Find the z-score for 62 given a mean of 30 and a standard deviation of 20.

• 1.6

• -1.6

• 11.6

• -11.6

Find the area under the standard normal curve that lies to the left of z=2.1.

• 1.79%

• -1.79%

• 98.21%

• 0.98%

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies to the right of z=-0.67.

• 63.42%

• 74.86%

• 25.14%

• 50%

Tags

CCSS.HSS.ID.A.4

Find the area under the standard normal curve that lies between z=-0.5 and z=1.5.

• 62.46%

• 72.47%

• 5.40%

• 62.47%

Tags

CCSS.HSS.ID.A.4

What percentage of scores falls within 3 standard deviations of the mean?

• 68%

• 34%

• 99.7%

• 95%

Tags

CCSS.HSS.ID.A.4

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

• z=-0.25

• z=-0.33

• z=0.25

• z=0.33

Tags

CCSS.HSS.ID.A.4

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

Tags

CCSS.HSS.ID.A.4