Question

Listed are $29$ages for Academy Award winning best actors in order from smallest to largest.

$$\begin{gathered} 18;21;22;25;26;27;29;30;31;33;36;37;41;42; \\ 47;52;55;57;58;62;64;67;69;71;72;73;74;76;77 \end{gathered}$$

Calculate the ${20}^{th}$percentile and the ${55}^{th}$percentile.

Short answer

${20}^{th}$percentile is$28.2$and${55}^{th}$is$53.2$.

Step-by-step solution

Given information

Given a list of $29$ages for Academy award sinning best actors.

Explanation 

Here percentile means we split the dataset into 100 separate divisions among which we need to select p^th percentile. Here we can say that the first ${20}^{th}$part of the data is between $27$and $29$, and the${55}^{th}$part is between$52$and$55$accordingly we get the answer.