Z-Scores

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to a score that is 20 points above the mean

Answer explanation

If the standard deviation is 10, each z-score has a value of 10 from the mean

Tags

CCSS.HSS.ID.A.4

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to a score that is 10 points below the mean

Answer explanation

If the standard deviation is 10, each z-score has a value of 10 from the mean

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to a score that is 15 points above the mean

Answer explanation

If the standard deviation is 10, each z-score has a value of 10 from the mean

Tags

CCSS.HSS.ID.A.4

A normal distribution of scores has a standard deviation of 10.

Find the z-scores corresponding to a score that is 30 points below the mean.

Answer explanation

If the standard deviation is 10, each z-score has a value of 10 from the mean

Tags

CCSS.HSS.ID.A.4

Find the four digit probability decimal for a z-score below -0.47

Answer explanation

Use the negative side of the z-score table. Go to 0.4 down and 0.07 across to find the four digit decimal

Tags

CCSS.HSS.ID.A.4

Find the four digit probability decimal for a z-score below 2.24

Answer explanation

Use the positive side of the z-score table. Go to 2.2 down and 0.04 across to find the four digit decimal

Tags

CCSS.HSS.ID.A.4

Find the four digit probability decimal for a z-score above 0.24

Answer explanation

Use the negative side of the z-score table. Go to 0.2 down and 0.04 across to find the four digit decimal

Tags

CCSS.HSS.ID.A.4

Find the four digit probability decimal for a z-score above -2.07

Answer explanation

Use the positive side of the z-score table. Go to 2.0 down and 0.07 across to find the four digit decimal

Tags

CCSS.HSS.ID.A.4

1.   Scores on the SAT form a normal distribution with mu = 500 and sigma = 100.

What is the minimum score necessary to be in the top 15% of the SAT distribution? 

Answer explanation

Find the z-score for .8500 (or closest number) on the table. Use that z-score in the formula to find X.

Tags

CCSS.HSS.ID.A.4

1.   Scores on the SAT form a normal distribution with mu = 500 and sigma = 100.

Find the range of z-score values that defines the middle 80% of the distribution of SAT scores (372 and 628). 

Answer explanation

Find the z-score for x-values of 372 and 628

Tags

CCSS.HSS.ID.A.4