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
term
n=8
term
term
2.25 term
This means that Quartile for Q1 is average of 2nd and 3rd term
2nd term = 80 , 3rd term = 84
Average = ![\frac{80+84}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B80%2B84%7D%7B2%7D)
= 82
Quartile For Q3/Lower Quartile
term
n=8
term
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= ![\frac{92+94}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B92%2B94%7D%7B2%7D)
= 93
Hence Upper Quartile / Q1 = 82
Lower Quartile / Q3 = 93