APSU1D9 Percentiles, Z-Scores, and Empirical Formula

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

What is the PERCENTILE for the data value of 20 in the given data set.

• 33rd

• 15th

• 27th

• 25th

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

CCSS.6.SP.A.3

What is the PERCENTILE for the data value of 30 in the given data set.

• 80th

• 75th

• 93rd

• 87th

Tags

CCSS.HSS.ID.A.4

Here are the weights (in pounds) of 10 puppies: 4 4 5 7 8 8 8 10 12 13 What is the percentile of a 5 pound puppy?

• 30th percentile

• 20th percentile

• 70th percentile

• 30th percentile

Tags

CCSS.6.SP.A.2

CCSS.6.SP.B.5

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 terrible.

Tags

CCSS.HSF-LE.A.1B

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

So if Tina's Z-score is +2.00 and Paula's Z-score is +1.09, who performed better?

• Tina's performance is farther above the mean so she did better.

• Paula's score is closer to the mean so she did better.

• They both did the same.

Tags

CCSS.HSS.ID.A.4

CCSS.HSS.ID.A.2