What is the first quartile of the data set below? . . 275, 257, 301, 218, 265, 242, 201 . 201. 218. 257. 270

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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TaeKwonDoIsDead TaeKwonDoIsDead · Answer 2 · 2018-12-01T22:12:35+01:00

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.