Question

Mark scored at the 75th percentile on the dexterity test. If the scores of everyone taking the test are shown below, then
what was Mark's score?
1, 1, 1, 1.5, 2, 2, 2, 2.5,3
2
2.25
2.5

Answer 1

Answer:

Option B is correct.

Step-by-step explanation:

Given the Mark's score

$1,\:1,\:1,\:1.5,\:2,\:2,\:2,\:2.5,3$

Mark scored at the 75th percentile on the dexterity test.

So, calculating the 75th percentile using the formula

$P\left(k\right)=\frac{k\times \:\left(n+1\right)}{100}\:$

Here,

• $n = 9$     ($n$ is the total number of observations)

• $k = 75$

$P\left(75\right)=\frac{75\times \:\left(9+1\right)}{100}\:$  th observation

$P\left(75\right)=\frac{75\times \:10}{100}\:$  th observation

$P\left(75\right)=\frac{750}{100}$  th observation

$P\left(75\right)=\frac{15}{2}$  th observation

$P\left(75\right)=7.5$  th observation

         $=\frac{\left(2+2.5\right)}{2}$

         $=2.25$

Therefore, option B is correct.