6. Sum of two extreme quartiles is 138 in a symmetric frequency distribution. Find its median
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Given : Sum of two extreme quartiles is 138 in a symmetric frequency distribution.
To Find : median
Solution:
Quartiles
Q₁ = Lower Quartile
Q₂ = Median
Q₃ = Upper Quartile
Q₁ and Q₃ are two extreme quartiles
in a symmetric frequency distribution.
Q₂ = (Q₁ + Q₃ )/2
Q₁ + Q₃ = 138 as Sum of two extreme quartiles is 138
=> Q₂ = 138/2
=> Q₂ = 69
median is 69
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