Percentiles

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.6.SP.A.1

CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

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.4

CCSS.6.SP.B.5

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

• 70^th percentile

• 62.5^th percentile

• 72.5^th percentile

• 75^th percentile

Find the 46th percentile of

22, 5, 12, 16, 31, 25, 30, 39, 32, 33, 18

• 5.06

• 5

• 22

• 25

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

• 73rd

• 90th

• 75th

• 27th

At a local high school, GPAs are normally distributed with a mean of 2.9 and standard deviation of 0.6. What is the z-score for the 80th percentile? What GPA falls at the 80th percentile?

• z= -0.84, A GPA of 3.40

• z= -0,84, A GPA of 0.8

• z= 0.84, A GPA of 3.80

• z= 0.84, A GPA of 3.40

Tags

CCSS.HSS.ID.A.4

The percentile represents the....

• percent of data values that are below.
• percent of data values that are above.
• number of data values that are below.
• number of data values that are below.

Which of the following is the correct formula to find the z-score of a data point? [Assume the data set is a population.]

• z_x = (x - μ ) / σ
• z_x = (x + μ ) / σ
• z_x = (μ -  x) / σ
• z_x = (μ -  x) ⋅ σ

Tags

CCSS.HSS.ID.A.4

1.  Which best describes the shaded part of this normal distribution graph?  

• All data that is one or higher.
• All data that is one or more standard deviations above the mean.
• All data that is between 1 and 3.
• All data that is above the mean.

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

• 70
• 62.5
• 72.5
• 75