The semi-interquartile range of the data 3, 6, 5, 4, 2, 1, 7 is
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a
4
b
3
c
2
d
1
answer is C.
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Detailed Solution
Arranging the data in ascending order, we obtain1, 2, 3, 4, 5, 6, 7∴ Q1=Value of n+14th observation⇒Q1= Value of 2nd observation = 2Q3= Value of 3n+14thobservation⇒Q3= Value of 6th observation= 6∴ Semi-interquartile range =Q3−Q12=2