z scores and percentile practice

Given the data set: 1, 2, 3, 6, 9, 11, 45, 102, calculate the percentile for the data value 11 in this set.

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

What is the percentile of the value 74 in the following group of 15 data values? 23, 30, 35, 55, 61, 65, 68, 69, 70, 74, 80, 85, 90, 100, 100

• 73rd

• 67th

• 75th

• 60th

Adam's Z-score on a test is +2.50. What does this mean?

• Adam's score has a 2.5% chance of being better than any other randomly selected score.

• Adam's test score was better than 25% of his peers.

• He scored 2.5 standard deviations above the average.

• He did terribly.

Tags

CCSS.HSS.ID.A.4

Joanne's score on a test gives her a Z-score is -1.50. What does this mean?

• Joanne didn't take the test yet.

• Joanne's test score is 1.50 standard deviations below the average test score.

• Joanne did better than 1.50 times her peers.

• Joanne's test score, on average, was 1.5 points lower than the other test scores.

Tags

CCSS.HSS.ID.A.4

What is the Z-score for Tina if she got a 31 on the ACT, the mean was 23 and the SD was 4?

• +0.20

• +2.00

• -2.00

• -0.20

Tags

CCSS.HSS.ID.A.4

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the SD was 275?

• -1.90
• -1.09
• +1.09
• +1.90

Tags

CCSS.HSS.ID.A.4

If heights of 3rd graders follow a normal distribution with a mean of 52 inches and a standard deviation of 2.5 inches, what is the z score of a 3rd grader who is 47 inches tall? 

• -5
• -2
• 2
• 5

Tags

CCSS.HSS.ID.A.4

Ava, Oliver, and Mia are participating in a quiz competition. The quiz master asks them to find the z-score value if Mia's score is below the mean score by 2 standard deviations. What would be the z-score value?

• +2.00

• -2.00

• +1.25

• -1.00

Tags

CCSS.HSS.ID.A.4

The 75th percentile is also know as the

• median
• third quartile
• 1st quartile`
• interquartile range

Tags

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

If I tell you that you scored at the 55th percentile on your final exam, you would know:

• 55% of the class scored the same or worse than you did

• You earned a 55% on the exam

• You failed the exam

• 45% of the class scored worse than you did

Tags

CCSS.HSS.IC.A.1