Answer :

The answers to your question about the first quartile of the data set would be: 201, 230, 257, 270

Q1 = 2nd observation in the ascending array = 218 

Had 301 been 201, Q1 would have been 201.


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Answer:

218


Step-by-step explanation:

Let's first arrange the 11 numbers in ascending order:

[tex]201,201,218,218,242,257,257,265,270,275,301[/tex]

Which number is the first quartile?

Its is given by the formula  [tex]C=\frac{n}{4}[/tex]

Where, [tex]n[/tex]  is the number of numbers [in our case  [tex]n=11[/tex] ] and decimal value of  [tex]n[/tex] is rounded up.

So,  [tex]C=\frac{11}{4}=2.75[/tex]

Rounding gives us [tex]C=3[/tex]

This means that the 3rd number in the list is the first quartile. Hence, we see that 218 is the 3rd number and it is the first quartile.

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