Question

Quartile deviation of a data set is 15
value of third quartile = 60 what is the
value of first quartile ?​

Answer 1

Answer:

30

Explanation:

$Quartile deviation= \frac{Q_{3} -Q_{1} }{2}$

Quartile deviation is defined as half the difference of upper quartile and lower quartile, where

$Q_{3}$=upper quartile & $Q_{1}$= lower quartile

ATQ,

$15=\frac{60-x}{2}$ here, $Q_{1}$=x

30=60-x

=> x=30

Hence, the first/lower quartile =30

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Answer 2

Answer:

The answer is 30

Explanation:

Given data:

  Quartile Deviation of a data set QD = 15  

  And the value of third Quartile   Q₃ = 60  

  Here we need to find the value of first Quartile (Q₁)

As we know $QD = \frac{ (Q_{3} - Q_{1} )}{2}$  

Therefore,    $15= \frac{ (60 - Q_{1} )}{2}$    

              ⇒     30 =  60 - Q₁

              ⇒    Q₁ = 60 -30 = 30    

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