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

Sagot :

VioletEvergardenn

[tex]\huge\mathcal\purple{SolutioN :}[/tex]

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)

[tex] = > ( \frac{n + 1}{4} )term \: [/tex]

[tex] = > ( \frac{7 + 1}{4} ) \: term[/tex]

[tex] = > 2nd \: \: term \: = > 9[/tex]

★ Upper Quartile (Q³)

[tex] = > ( \frac{3(7 + 1)}{4} ) \: term[/tex]

[tex] = > 6th \: term \: = > 17[/tex]

★ Inter-Quartile range

⇒ Q³- Q¹

⇒ 17 - 9

⇒ 8

[tex]\huge\purple{✎﹏﹏﹏﹏﹏﹏﹏﹏﹏}[/tex]

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