Respuesta :
The third and first quartiles of the data 2, 3, 3, 4, 5, 7, 8, 8 ,8 , 10, 10, 12
would be equal to 7/2 and 9.
What is the quartile formula?
The first and third quartiles can be calculated by formula;
Q1 = [(n + 1) /4]th value
Q3 = [3(n + 1) /4]th value
Given the sample
2, 3, 3, 4, 5, 7, 8, 8 ,8 , 10, 10, 12
Calculate, the first and third quartiles
First quartile :
[tex]Q1 = [(n + 1) /4]\\n = 12\\Q1 = [(12 + 1) /4]th \\= (13/4)th \\= 3.2 value[/tex]
Taking the average of the 3rs and 4th observation:
(3 +4) / 2 = 7/2
Third quartile :
[tex]Q3 = [3(n + 1) /4]\\\\Q3 = 3(12+ 1)/4 \\\\\= (39/4)th \\\\Q3 = 9.7[/tex]
Taking the 9th and 10th value
Q3 = (8+8) /2 = 16/2 = 9
Learn more about quartile;
https://brainly.com/question/17328248
#SPJ2
