Answer:
Q₁ = 1 , Q₂ = 4 , Q₃ = 7
Explanation:
given the data set
1 1 1 3 3 5 5 7 7 7
the median is the middle value of the set. If thers is no exact middle then the median is the average of the values either side of the middle.
1 1 1 3 3 5 5 7 7 7
↑middle between 3 and 5
median Q₂ = (3 + 5) ÷ 2 = 8 ÷ 2 = 4
the lower quartile (Q₁ ) is the middle value of the set to the left of the median
1 1 1 3 3
↑ middle value
lower quartile Q₁ = 1
the upper quartile (Q₃ ) is the middle value of the set to the right of the median.
5 5 7 7 7
↑ middle value
upper quartile Q₃ = 7