the 75th percentile of the set of scores 25 14 18 22 17 30 21 27 is
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the 75th percentile of the set of scores 25 14 18 22 17 30 21 27 is
the 75th percentile of the set of scores 25 14 18 22 17 30 21 27 is
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Question :- The 25th and 75th percentiles of a frequency distribution are 72.18 and 103.99 respectively. Find the quartile deviation. ?
Solution :-
we know that, the Quartile Deviation is equal to the half of the Inter-Quartile Range .
So,
Quartile Deviation (Qd) = (Q3 - Q1) / 2 .
The first quartile or the lower quartile or the 25th percentile is denoted by Q1 .
The third quartile or the upper quartile or 75th percentile is denoted by Q3 .
we have given that,
25th percentiles = Q1 = 72.18
75th percentiles = Q3 = 103.99 .
Putting both values we get,
→ Qd = (Q3 - Q1) / 2
→ Qd = (103.99 - 72.18) / 2
→ Qd = 31.81/2
→ Qd = 15.095 (Ans.)
Hence, the quartile deviation of the frequency distribution is 15.095 .