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

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

    $\dfrac{k\times (n+1)}{100}$ th observation

where n is the total number of obsevations

Here n=9  and k=75

so, P(75)=   $\dfrac{75\times (9+1)}{100}$ th observation

             =    $\dfrac{75\times (10)}{100}$ th observation

            =  7.5 th observation

           =   (2+2.5)/2

           =   2.25

Hence, 75th percentile is 2

Hence, option B is correct