Percentiles and Z-Scores

Below is a list of weights of 10 puppies, determine the percentile of a 5 pound puppy. 
2, 3, 3, 4, 4, 5, 5, 5, 6, 7

• 80th Percentile
• 70th Percentile
• 50th Percentile 
• 7th Percentile

Tags

CCSS.6.SP.B.5C

Anna and her brother are both 62 inches tall. Anna is in the 85th percentile for height for her age and her little brother is in the 90th percentile. Who is taller for their age?

• They're the same, both 62 inches.
• Anna, she's taller than more people. 
• Brother, he's taller than more people. 
• You can't tell if you don't know the mean and standard deviation. 

Tags

CCSS.6.SP.B.5

CCSS.6.SP.A.2

Tests in Mr. Jones class have a mean score of 73 and standard deviation of 6 points. Mark scored a 68 on the test. What is his z-score?

• 0.83
• 5
• -0.83
• -5

Tags

CCSS.HSS.ID.A.4

Parvati's potions quiz grade had a z-score of 1.8, Lavender's score on her divination quiz had a z-score of 0.7. Who did better compared to their classmates?

• Parvati, she was 1.8 points above the mean and Lavender was only above by 0.7 points.

• Parvati, she was 1.8 standard deviations above the mean and Lavender was only above by 0.7 standard deviations.

• You can't tell if you don't know which class Hermione is in.

• You can't tell if the scores were on different quizzes.

What does a z-score of 2.15 mean?

• The score is 2.15 units above the mean. 
• The score is 2.15 standard deviations above the mean.
• The score is 2.15 units below the mean. 
• The score is 2.15 standard deviations below the mean. 

What does a z-score of 0 mean?

• The score is equal to the mean.
• The score is 0 points. 
• There is no data.
• You can't tell unless you know the data is normal. 

Tags

CCSS.6.SP.B.5

CCSS.6.SP.A.3

What does a z-score of -3.1 mean?

• The data point is 3.1 units below the mean.
• The data point is 3.1 units above the mean.
• The data point is 3.1 standard deviations below the mean.
• The data point is 3.1 standard deviations above the mean.

Tags

CCSS.HSS.ID.A.4

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

• 70
• 62.5
• 72.5
• 75

What percentile is 74 in the following group of data (must be in order)?35, 65, 68, 100, 23, 69, 74, 70, 61, 90, 85, 55

• 60th
• 90th
• 75th
• 27th

Tags

CCSS.6.SP.B.5C