Question

The scores listed below are the results from students taking a dexterity test. What is the 75th percentile of these scores? 1, 1, 1, 1.5, 2, 2, 2, 2.5, 3

A 2
B 2.25
C 2.5

Answer 1

the answer is B 2.25

Answer 2

75th percentile is:

B 2.25

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

`(k* (n+1))/(100)` th observation

where n is the total number of obsevations

Here n=9 and k=75

so, P(75)=
`(75* (9+1))/(100)` th observation

=
`(75* (10))/(100)` th observation

= 7.5 th observation

= (2+2.5)/2

= 2.25

Hence, 75th percentile is 2

Hence, option B is correct