please help with math.?

Question

1.Find the first quartile of the data: 6, 10, 1, 8, 3, 1, 4
2.Find the second quartile of the data: 6, 10, 1, 8, 3, 1, 4
3.Find the third quartile of the data: 5, 10, 1, 8, 3, 1, 4

Answer 1

To find quartiles, first put all of your data in order. (I'm assuming you made a typo on the third set of data and you meant to type a 6 there, to match the others.)

Ordered Data: 1, 1, 3, 4, 6, 8, 10

The easiest thing to do is start with the second quartile (aka the Median), which is 4.

Then, halfway between the 'beginning' and your Median is the First Quartile. Since you have a couple of numbers there, take the average of (the second) 1 and 3, so your First Quartile is 2.

Then, halfway between the Median and the 'end' is the Third Quartile. Using the 6 and 8, the average of those two numbers is 7.