Find IQR for the following odd numbers: $1, 3, 5, 7, 9, 11, 13, 15, 17$

10

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11

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12

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13

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Solution

The correct option is B $10$
$1, 3, 5, 7, 9, 11, 13, 15, 17$
Median $= 9$
So, the lower half from the median $=$ first quartile $= 1, 3, 5, 7$
Median of the first quartile $=$ $\frac{3 + 5}{2} = 4$
Similarly, the upper half from the median $=$ third quartile $= 11, 13, 15, 17$
Median of the third quartile $=$ $\frac{13 + 15}{2} = 14$
IQR $=$ third quartile $-$ first quartile
$= 14 - 4 = 10$ .

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