Answer:
Upper Quartile / Q1 = 82
Lower Quartile / Q3 = 93
Step-by-step explanation:
The data we are given with is :
84 84 92 92 95 94 80 72
Let us first arrange the data in ascending order
72 80 84 84 92 92 94 95
The Formula to find the Quartile is
Quartile For Q1/Upper
[tex]\frac{1}{4}\times(n+1)[/tex] term
n=8
[tex]\frac{1}{4}\times(8+1)[/tex] term
[tex]\frac{9}{4}[/tex] term
2.25 term
This means that Quartile for Q1 is average of 2nd and 3rd term
2nd term = 80 , 3rd term = 84
Average = [tex]\frac{80+84}{2}[/tex]
= 82
Quartile For Q3/Lower Quartile
[tex]\frac{3}{4}\times(n+1)[/tex] term
n=8
[tex]\frac{3}{4}\times(8+1)[/tex] term
[tex]\frac{3 \times 9}{4}[/tex] term
= 6.75
Hence the Quartile for Q3 will be the average of the 6th and 7th term
6th term = 92
7th term = 94
Average= [tex]\frac{92+94}{2}[/tex]
= 93
Hence Upper Quartile / Q1 = 82
Lower Quartile / Q3 = 93
