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Interquartile range is 7.
:-
We write the variates in cumulative frequency table.
*(Refer the Image)*
(i) Here the number of observations, n=48 which is even.
So median=½(n/2th term+((n/2)+1)th term)
*(Refer Thee Image)*
Hence the lower quartile is 20.
(iii)Upper quartile, Q3=(3n/4)th term
=(3×48/4)th term
=(3×12)th term
=36th term
=27
Hence the upper quartile is 27.
(iv)Interquartile range =Q3−Q1
=27−20
=7
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