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Mathematics

For numbers 10, 20, 30, 40, 50, 60, 70 and 80; the inter-quartile range is :

  1. 20 + 60

  2. 60 - 30

  3. 60 - 20

  4. 50 - 10

Statistics

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Answer

Numbers in ascending order : 10, 20, 30, 40, 50, 60, 70 and 80.

The number of terms (n) are 8, which is even.

∴ Lower quartile = n4=84\dfrac{n}{4} = \dfrac{8}{4} = 2nd term = 20.

∴ Upper quartile = 3n4=3×84=3×2\dfrac{3n}{4} = \dfrac{3 \times 8}{4} = 3 \times 2 = 6th term = 60.

Inter-quartile = Upper quartile - Lower quartile = 60 - 20.

Hence, Option 3 is the correct option.

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