for a data set with upper quartile equal to 55 and median equal to 42 if distribution is symmetric find the value of lower quartile
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Lower Quartile = 29 if for a data set with upper quartile equal to 55 and median equal to 42
Step-by-step explanation:
Median = ( Q₃ + Q₁)/2
Q₁ = Lower Quartile = ?
Q₃ = upper Quartile = 55
Median = 42
=> 42 = ( Q₃ + Q₁)/2
=> 84 = 55 + Q₁
=> Q₁ = 29
Semi interQuartile range = ( Q₃ - Q₁)/2 = (55 - 29)/2 = 13
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