In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to??
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Given : In a symmetrical distribution, Q3 – Q1 = 20, median = 15
To find : Q3
Solution :
in a symmetrical distribution
Median = ( Q₁ + Q₃)/2
=> 15 = ( Q₁ + Q₃)/2
=> Q₁ + Q₃ = 30
Q₃ - Q₁ = 20
Adding both
2Q₃ = 50
=> Q₃ = 25
Q₁ + Q₃ = 30
=> Q₁ + 25 = 30
=> Q₁ = 5
Q₃ = 25
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