Mode of a symmetric frequency distribution is 84. If the first quartile is 68. Find the third
Quartile
Answers
Step-by-step explanation:
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Given : Mode of symmetric frequency distribution is 84.
the first quartile is 68,
To Find : the third quartile.
Solution:
Quartiles
Q₁ = Lower Quartile 1st
Q₂ = Median
Q₃ = Upper Quartile 3rd
Symmetric distribution hence mean = mode = Median
=> Q₂ = median = 84
in symmetrical distribution Q₂ = (Q₁ + Q₃)/2
Q₁ = 68
Q₂ = 84
Q₃ = ?
=> 84 = (68 + Q₃ )/2
=> 168 = 68 + Q₃
=> 100 = Q₃
third quartile is 100
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