Instructions: Choose the best answer for each question.
A) 30 B) 50 C) 60 D) 75
1. What is a quartile? 17. What percentile is equivalent to the first decile (D1)?
A) A measure that divides data into ten equal parts A) 1st percentile
B) A measure that divides data into four equal parts B) 10th percentile
C) A measure that divides data into five equal parts C) 25th percentile
D) A measure that divides data into one hundred equal parts D) 50th percentile
2. The first quartile (Q1) represents the 18. The 99th percentile represents
A) 10th percentile A) The highest value in a dataset
B) 25th percentile B) The middle value of a dataset
C) 50th percentile C) The value below which 99% of observations fall
D) 75th percentile D) The lowest value in a dataset
3. What does the third quartile (Q3) represent? 19. What is the main purpose of using percentiles in data
A) The median of the lower half of the data analysis?
B) The 50th percentile A) To calculate averages
C) The 75th percentile B) To measure central tendency
D) The highest value in the data set C) To determine relative standing of data points
4. A decile is a statistical measure that divides data into D) To find the sum of data
A) 4 equal parts 20. The median of a dataset corresponds to which quartile?
B) 5 equal parts A) Q1 B) Q2 C) Q3 D) Q4
C) 10 equal parts 21. The 3rd decile (D3) is equivalent to which percentile?
D) 100 equal parts A) 10th percentile
5. Which decile corresponds to the median of a dataset? B) 30th percentile
A) D2 B) D5 C) D7 D) D9 C) 50th percentile
6. The percentile rank of the third quartile (Q3) is D) 70th percentile
A) 25th percentile 22. If a dataset has an odd number of elements, the median is
B) 50th percentile found at
C) 75th percentile A) The middle value
D) 100th percentile B) The average of two middle values
7. The 90th percentile (P90) means that C) The highest value
A) 90% of the data is below it D) The lowest value
B) 90% of the data is above it 23. What measure is best used to identify outliers?
C) It is the highest value in the dataset A) Range
D) It is the middle value of the dataset B) Percentiles
8. If a student’s test score is at the 40th percentile, it means C) Interquartile Range (IQR)
that D) Median
A) The student scored higher than 40% of the class 24. If a value is below Q1 - 1.5(IQR) or above Q3 + 1.5(IQR),
B) The student scored lower than 40% of the class it is considered
C) The student’s score is exactly at the middle A) The median
D) The student is in the top 40% of the class B) An outlier
9. What formula is commonly used to compute a percentile C) The range
rank? D) The mode
A) P=(n+1)P100 25. In a dataset of 100 students, the 20th percentile would be
B) P=(n−1)P100 the score of the
C) P=(n)P10 A) 5th student
D) P=(n+1)P10 B) 10th student
10. The interquartile range (IQR) is calculated as C) 20th student
A) Q1 – Q3 D) 50th student
B) Q3 – Q1 26. If D8 = 78, this means that
C) Q2 – Q1 A) 80% of the data is above 78
D) Q3 – Q2 B) 80% of the data is below 78
11. If the 5th decile (D5) corresponds to the median, then what C) The median is 78
percentile does it match? D) 78% of the data is above the value
A) 10th percentile 27. Which statistical measure is most useful in ranking
B) 25th percentile students?
C) 50th percentile A) Mean
D) 75th percentile B) Quartiles
12. What is the second quartile (Q2) also known as? C) Percentiles
A) Mean B) Mode C) Median D) Range D) Standard deviation
13. How many quartiles exist in a dataset? 28. If a student is at the 60th percentile, they performed better
A) 2 B) 3 C) 4 D) 5 than
14. If a student scores in the 88th percentile, what does it A) 40% of students
mean? B) 60% of students
A) The student scored higher than 12% of students C) 80% of students
B) The student scored higher than 88% of students D) 100% of students
C) The student scored lower than 88% of students 29. Which of the following correctly ranks data from smallest
D) The student got an 88% on the test to largest division?
15. The formula used to determine the location of a decile in A) Quartiles < Deciles < Percentiles
an ordered dataset is B) Deciles < Quartiles < Percentiles
A) Dk=k(n+1)10 C) Percentiles < Quartiles < Deciles
B) Dk=k(n−1)10 D) Percentiles < Deciles < Quartiles
C) Dk=k(n+1)4 30. The formula to compute percentile rank is
D) Dk=k(n)100 A) P=(x+1)P10
16. If Q1 = 45 and Q3 = 75, what is the interquartile range B) P=(x+1)P100
(IQR)?
C) P=(n+1)P100
D) P=(x)P100
