Math, asked by shruthi5091, 8 months ago

Find quartile deviation for the following:

391 384 591 407 672 522 777 733 1490 2488​

Answers

Answered by bestwriters
8

Here is the solution for the Quartile deviation for the following data:

391, 384, 591, 407, 672, 522, 777, 733, 1490, 2488.

Step-by-step explanation:

Formula : Quartile deviation = (Q3-Q1/ 2)

                 Coefficient of quartile deviation = (Q3-Q1/Q3+Q1)

Q1= Size of (N+1/4th) term

Q3=Size of 3(N+1/4th) term

Method:

Numbers in order:

384,391,407,522,591,672,773,777,1490,2488

n= number of terms

n = 10 (even)

n/2 = (591+671)/2

      = 1263/2

      = 927

Q1= (N+1/4)

   = 11/4

    =2.3th term

Q3 = 3(N+1/4)

     = 3(2.3)

     = 6.9th term

Q1 = 2nd term

Q3 = 7th term

Quartile deviation = (672 - 391)/2

                             = 281/2

                    Q.D = 140.5

Co efficient of quartile deviation = (773 - 391)/ (773 + 391)

                                                      = 382/1164

            CO-EFFICIENT OF Q.D  = 0.328178  

The quartile deviation of the given data is 140.5

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