Formulae for Quartiles –
For an ungrouped data containing ‘n’ observations, we have –
n
Lower Quartile, Q₁ = (------)th observation, when ‘n’ is even
4
n + 1
Lower Quartile, Q₁ = (--------)th observation, when ‘n’ is odd
4
3n
Lower Quartile, Q₃ = (-------)th observation, when ‘n’ is even
4
3(n + 1)
Lower Quartile, Q₃ = ----------th observation, ‘n’ is odd
4
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