Normal Distribution and Empirical Rule Worksheet

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 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

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

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

Tags

CCSS.HSS.ID.A.4

List each set of data by color from the lowest standard deviation to the highest standard deviation.

• blue, green, pink, red

• red, pink, green, blue

• pink, green, red, blue

• blue, green, red, pink

Tags

CCSS.HSS.ID.A.3

What percentage of data falls within one standard deviation of the mean in a normal distribution?

• 68%

• 50%

• 75%

• 90%

Tags

CCSS.HSS.ID.A.4

What is the average distrance from the mean of a normal distribution called?

• standard deviation

• variance

• median

• mean

According to the 68-95-99.7 rule, what percentage of data falls within two standard deviations of the mean in a normal distribution?

• 95%

• 90%

• 99.7%

• 68%

Tags

CCSS.HSS.ID.A.4