Which quartile represents the 75th percentile?
A. Q₁
B. Q₂
C. Q₃
D. Q₄
C. Q₃
Which quartile is also called the median?
A. Q₁
B. Q₂
C. Q₃
D. Q₄
B. Q₂
Find Q₁.
Data:
5, 8, 12, 15, 18, 20, 22, 25, 30
A. 5
B. 8
C. 12
D. 15
C. 12
If Q₁ = 15, what does this mean?
A. 75% of data are below 15
B. 25% of data are below or equal to 15
C. 50% of data are above 15
D. All data are above 15
B. 25% of data are below or equal to 15
If n = 12, what is the position of Q₁?
A. 3rd
B. 4th
C. 5th
D. 6th
B. 4th
If n = 9, what is the position of Q₃?
A. 6th
B. 7th
C. 8th
D. 9th
B. 7th
Two data sets have the same Q₂ but different Q₁ and Q₃ values. What does this imply?
A. The data sets are identical
B. They have equal variability
C. They have different spreads
D. They have the same maximum value
C. They have different spreads
Find Q₂.
Data:
5, 10, 15, 20, 25
A. 15
B. 17.5
C. 20
D. 10
A. 15
If n = 19, what is the position of Q₃?
A. 13th
B. 14th
C. 15th
D. 16th
C. 15th