Verified 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:

\(201,201,218,218,242,257,257,265,270,275,301\)

Which number is the first quartile?

Its is given by the formula  \(C=\frac{n}{4}\)

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

So,  \(C=\frac{11}{4}=2.75\)

Rounding gives us \(C=3\)

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.