Question

find the 56th percentile for the data shown below.\
\
| x |\
|-----|\
| 5.3 |\
| 5.9 |\
| 10.5|\
| 10.8|\
| 11.4|\
| 13.5|\
| 14.9|\
| 17 |\
| 17.5|\
| 24.8|\
| 27.1|\
| 27.9|\
| 29 |

Explanation:

Step1: Count total data points

$n = 14$

Step2: Calculate percentile rank

$i = \frac{56}{100} \times 14 = 7.84$

Step3: Round up to integer

$i = 8$ (since 7.84 is not integer)

Step4: Select 8th ordered value

The 8th value in the sorted data is 17

Answer:

17