Question

What percentage of values is less than 3rd decile?

a) 30 per cent b) 70 per cent c) 40 per cent d) none of the above​

Answer 1

Answer

None of The above

Answer 2

Given :  3rd decile

To Find : What percentage of values is less than 3rd decile

Solution:

The values which divide the total no. of observations into 10 equal parts are called Deciles.

Dₓ  = Value of   x  (n + 1) /10  th Data

D₁ = 1  (n + 1)/10  th Data

D₂ = 2 (n + 1)/10  th Data

D₃ = 3 (n + 1)/10  th Data

D₃ = 3 (n + 1)/10  th Data

Finding percentage  

= 3 ((n + 1 ) /10n) * 100

= 30(n + 1)/n  %

= 30 %  + 30/n %

 Hence  30 per cent  is less than 3rd decile

correct option is a) 30 percent

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