Answer:
75th percentile is:
B 2.25
Step-by-step explanation:
We are given a list of scores:
1, 1, 1, 1.5, 2, 2, 2, 2.5, 3
Now, we have to calculate the 75th percentile
P(k) i.e. kth percentile is calculated as
[tex]\dfrac{k\times (n+1)}{100}[/tex] th observation
where n is the total number of obsevations
Here n=9 and k=75
so, P(75)= [tex]\dfrac{75\times (9+1)}{100}[/tex] th observation
= [tex]\dfrac{75\times (10)}{100}[/tex] th observation
= 7.5 th observation
= (2+2.5)/2
= 2.25
Hence, 75th percentile is 2
Hence, option B is correct
