PERCENTILE

What is a percentile?

• A measure that divides data into four equal parts.

• A measure that divides data into ten equal parts.

• A measure that divides data into one hundred equal parts.

• A measure that divides data into two equal parts

What does the 50th percentile represent in a data set?

• The mode of the data

• The median of the data

• The mean of the data

• The range of the data

What does the 75th percentile indicate in a data set?

• 25% of the data values are below this point

• 75% of the data values are below this point

• 25% of the data values are in this point

• 75% of the data values are above this point

What does it mean if a student's score is at the 85th percentile?

• The student scored higher than 85% of the other students who took the same test.
• The student's score is the average of all the scores.
• The student scored lower than 85% of the other students who took the same test.
• The student scored exactly 85 out of 100 on the test.

When is interpolation used in finding percentiles?

• Interpolation is used in finding percentiles when the data is categorical.
• Interpolation is used in finding percentiles when the data is skewed to the left.
• Interpolation is used in finding percentiles when the exact percentile value falls between two data points.
• Interpolation is used in finding percentiles when the data is evenly distributed.

In a data set of 20 values, which position corresponds to the 50th percentile?

• 10

• 10.5

• 11

• 11.5

Which of the following percentiles is closest to the maximum value in a data set?

• 99th

• 90th
• 75th
• 100th

If the position of the 40th percentile in a data set is 4.2, which values will you use to interpolate?

• 4th and 5th values

• 5th and 6th value

• • 3rd and 4th values

• • 2nd and 3rd values

A data analyst is reviewing the ages of participants in a survey. The ages are: [23, 25, 28, 30, 22, 24, 26, 27, 29, 31]. What is the 70th percentile of the ages?

• 27.8

• 29.7

• 28.7

• 26.8

A teacher is grading assignments and wants to find the 10th percentile to identify struggling students. The grades are: [74, 76, 79, 85, 87, 88, 90, 91, 92, 93]. What is the 10th percentile of the grades?

• 80.5
• 86.3
• 89.7
• 74.2