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The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation is
  • a)
    10
  • b)
    20
  • c)
    25
  • d)
    8.30
Correct answer is option 'A'. Can you explain this answer?
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The quartiles of a variable are 45, 52 and 65 respectively. Its quarti...
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The quartiles of a variable are 45, 52 and 65 respectively. Its quarti...
Given:

Quartiles of a variable are 45, 52 and 65 respectively.

To find:

The quartile deviation.

Solution:

Quartile deviation is given by the formula:

Quartile deviation = (Q3 – Q1) / 2

Where Q1 is the lower quartile and Q3 is the upper quartile.

Given Q1 = 45, Q2 = 52 and Q3 = 65.

Substituting the values in the formula, we get:

Quartile deviation = (Q3 – Q1) / 2

= (65 – 45) / 2

= 20 / 2

= 10

Therefore, the quartile deviation is 10.

Hence, the correct option is (a) 10.
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Community Answer
The quartiles of a variable are 45, 52 and 65 respectively. Its quarti...
This is because Qd= (Q3-Q1)/2
=(65-45)/2 =20/2= 10
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The quartiles of a variable are 45, 52 and 65 respectively. Its quartile deviation isa)10b)20c)25d)8.30Correct answer is option 'A'. Can you explain this answer?
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