Question

Find the lower quartile, upper Quartile and inter quartile range for the data : 9, 11, 15, 19, 17, 13, 7.​

Answer 1

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On arranging the given data in ascending order of their magnitudes, we get :

➙ 7 , 9 , 11 , 13 , 15 , 17 , 19

Clearly, n = 7, which is an odd number.

★ Lower Quartile (Q¹)

`= > ( (n + 1)/(4) )term \:`

`= > ( (7 + 1)/(4) ) \: term`

`= > 2nd \: \: term \: = > 9`

★ Upper Quartile (Q³)

`= > ( (3(7 + 1))/(4) ) \: term`

`= > 6th \: term \: = > 17`

★ Inter-Quartile range

⇒ Q³- Q¹

⇒ 17 - 9

⇒ 8

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