Find the first and third quartiles, Q1 and Q3, of the following set of numbers. 13, 5, 12, 16, 7, 14, 7, 3, 10, 7
i don't know how to figure it out can you help please. thanks
First, arrange them in numerical order.
3, 5, 7, 7, 7, 10, 12, 13, 14, 16
You can learn about the quartiles at this site.
http://www.onlinemathlearning.com/quartile.html
Certainly! To find the first quartile (Q1) and the third quartile (Q3) of a set of numbers, you need to arrange the numbers in ascending order. Here's how you can do it step by step:
Step 1: Arrange the numbers in ascending order:
3, 5, 7, 7, 7, 10, 12, 13, 14, 16
Step 2: Calculate the position of Q1 and Q3:
To find the position of Q1, you can use the formula (n+1)/4, where n is the total number of data points. In our case, n = 10, so (10+1)/4 = 2.75. Since 2.75 is not a whole number, we need to take the average of the 2nd and 3rd values in the ordered list to find Q1. In this case, the 2nd and 3rd values are both 5, so Q1 = 5.
To find the position of Q3, you can use the formula 3(n+1)/4. In our case, 3(10+1)/4 = 8.25. Since 8.25 is not a whole number, we need to take the average of the 8th and 9th values in the ordered list to find Q3. In this case, the 8th value is 13 and the 9th value is 14, so Q3 = (13+14)/2 = 13.5.
So the first quartile (Q1) is 5 and the third quartile (Q3) is 13.5.
I hope this helps!