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

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

    th observation

where n is the total number of obsevations

Here n=9  and k=75

so, P(75)=   th observation

             =     th observation

            =  7.5 th observation

           =   (2+2.5)/2

           =   2.25

Hence, 75th percentile is 2

Hence, option B is correct

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b