Question

for the certain data quartile deviation is 10, upper quartile is 60 then find lower quartile​

Answer 1

SOLUTION

GIVEN

For the certain data quartile deviation is 10, upper quartile is 60

TO DETERMINE

The lower quartile

CONCEPT TO BE IMPLEMENTED

Quartile deviation is the half of the difference between upper quartile and lower quartile

EVALUATION

Here it is given that for the certain data quartile deviation is 10, upper quartile is 60

Now

$\displaystyle \sf{Quartile \: deviation = \frac{Upper \: Quartile - Lower \: Quartile}{2} }$

$\displaystyle \sf{ \implies \: 10 = \frac{60 - Lower \: Quartile}{2} }$

$\displaystyle \sf{ \implies \: 60 - Lower \: Quartile = 20 }$

$\displaystyle \sf{ \implies \: Lower \: Quartile =60 - 20 }$

$\displaystyle \sf{ \implies \: Lower \: Quartile =40 }$

FINAL ANSWER

$\boxed{ \: \displaystyle \sf{ \: Lower \: Quartile =40 \: \: }}$

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